A simple pendulum is made of a small blob of mass m=7.000 kg attached to the end of an inextensible wire. The angular amplitude of oscillation is θ=5.730°. Consider that the gravitational acceleration is g=9.807 m/\(s^{2}\). What is the magnitude of the tension in the wire when the blob is directly below its point of support?

Answers

Answer 1

Answer:

The tension must be equal to the weight of the bob plus the centripetal force that is provided at eth end of the motion.

h = L (1 - cos theta)  where h is the height to which the bob is raised

cos 5.730 = .995

h = .005 L

Also    1/2 m v^2 = m g h    speed of the bob at the bottom

v^2 = 2 g h = .01 g L    where 2 h = .01 L

v^2 / L = .01 g

m v^2 / L = .010 g m = .07 g    since m = 7

Total tension = m g (1 + .07) = 1.07 m g

T = 9.807 * 1.07 * 7 = 73.45 kg m / s^2


Related Questions

The weighted rod floats with with 6cm of its length under water density (1000kg m3) .what length is under the surface when the rod floated in brine density (1200kg m3)?

Answers

The length of the rod under the surface of the water can be calculated using Archimedes’ principle. The principle states that the buoyant force on an object is equal to the weight of the fluid displaced by the object.

The buoyant force is given by the formula:

Buoyant force = Density of fluid x Volume of fluid displaced x Gravity

Since the rod is floating, the buoyant force is equal to the weight of the rod. We can use this to calculate the volume of fluid displaced by the rod.

Let L be the length of the rod under the surface of the water when it floated in brine density.

The weight of the rod is given by:

Weight of rod = Density of rod x Volume of rod x Gravity

Since the rod is floating, the weight of the rod is equal to the buoyant force.

Buoyant force = Weight of rod = Density of rod x Volume of rod x Gravity

The volume of fluid displaced by the rod is given by:

Volume of fluid displaced = Volume of rod = Length of rod x Cross-sectional area of rod

Since the cross-sectional area of the rod is constant, we can write:

Buoyant force = Density of fluid x Volume of fluid displaced x Gravity Density of rod x Volume of rod x Gravity = Density of fluid x Length of rod x Cross-sectional area of rod x Gravity

Solving for L, we get:

L = (Density of rod / Density of fluid) x Length of rod

Substituting the given values, we get:

L = (1000 / 1200) x 6 cm = 5 cm

Therefore, the length of the rod under the surface of the water when it floated in brine density is 5 cm.

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Two objects travel the same distance. The one that is moving faster will:


Take more time to go the distance

Take less time to go the same distance

Take the same time as the slower object

None of the above

Answers

Answer: take less time to go the same distance

Explanation:

Because if it is going faster let’s say mph 60 mph is 60 miles per hour if you are going 40 miles per hour it will take you longer to get to your destination.

Which one of the following is the longest length?
(a) 100 m
(b) 104 µm
(c) 107 nm
(d) 102 mm​

Answers

Okay, let's convert all the lengths to the same unit to compare:

(a) 100 m = 100 meters

(b) 104 μm = 104 micrometers = 104 × 10^-6 meters = 0.000104 meters

(c) 107 nm = 107 nanometers = 107 × 10^-9 meters = 0.000000000997 meters

(d) 102 mm = 102 millimeters = 102 × 10^-3 meters = 0.0102 meters

The longest length is:

(a) 100 m = 100 meters

The answer is option (a).

Answer: 100 m

Explanation:

1 μm = \(10^{-6}\) m = 0,000001 m

1 nm = \(10^{-9}\) m = 0,000000001 m

1 mm = \(10^{-3}\) m = 0,001 m

∴ 100 m es la mayor longitud

The pressure increases by 1.0 x 104 N/m2 for every meter of depth beneath the surface of the ocean. At what depth does the volume of a Pyrex (bulk modulus 2.6 x 1010 N/m2) glass cube, 5.4 x 10-2 m on an edge at the ocean's surface, decrease by 6.0 x 10-10 m3

Answers

Given that,

Bulk modulus \(B= 2.6\times10^{10}\ N/m^2\)

Change in volume \(\Delta V=6.0\times10^{-10}\ m^3\)

Edge \(a= 5.4\times10^{-2}\ m\)

The volume of the cube at the ocean's surface will be

\(V_{0}=a^3\)

Where, a = edge

Put the value into the formula

\(V_{0}=(5.4\times10^{-2})^3\)

\(V_{0}=0.00016\ m^3\)

We need to calculate the change in pressure

Using formula of pressure

\(\Delta P=-B\dfrac{\Delta V}{V_{0}}\)

Put the value into the formula

\(\Delta P=-(2.6\times10^{10})\times\dfrac{(-6.0\times10^{-10})}{0.00016}\)

\(\Delta P=97500\ N/m^2\)

The pressure increases by \(1.0\times 10^{4}\ N/m^2\) for every meter of depth

We need to calculate the depth

Using formula for depth

\(depth=\dfrac{97500}{1.0\times10^{4}}\)

\(depth=9.75\ m\)

Hence,  The depth is 9.75 m.

The starship Enterprise leaves a distant earth colony, which is nearly at rest with respect to the earth. The ship travels at nearly constant velocity toward earth. When the Enterprise reaches earth 1.03 y has elapsed, as measured on the ship. Clocks in the earth's reference frame show that the voyage lasted 2.76 y.

Required:
a. How far from earth is the colony, as measured in the reference frame of the earth?
b. How far from earth is the colony, as measured in the reference frame of the ship?

Answers

Explanation:

t = t/v(1-v^2/c^2)

3.10- 1.03 = 1.03/v(1-v^2/c^2)

2.07 = 1.03/v(1-v^2/c^2)

v(1-v^2/c^2) = 0.49

squaring both sides

(1-v^2/c^2) = 0.24

0.76 = v^2/c^2

v^2 = 0.76 × (3×10^8)^2

v = 0.873×10^8

v = 2.61×10^8 m/s

s = vt

t = 3.10 years = 3.10×365×24×3600 seconds = 9.7×10^8

s = 2.61×10^8× 9.7×10^8

s = 25.31×10^16 m

Need help with my homework assignment. Thank you!

Need help with my homework assignment. Thank you!

Answers

According to research, development is always towards complexity.

What is the meaning of research?

The term research has to do with the process that we have to go through to obtain new knowledge or to confirm a piece of information. Let us say that we have some disconnected pieces of evidence that tend to point towards a particular fact, we would need to use the process of research to establish the truth in the research.

Now we can see that there is a movement towards the complexity of organisms at each particular level in the developmental process. We can then conclude that according to research, development is always towards complexity.

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what consist of a body wave​

Answers

A body wave is a seismic wave that moves through the interior of the earth, as opposed to surface waves that travel near the earth's surface.

What is the difference between molecules and
compounds?

Answers

Answer:

All compounds can be classified as molecules, but not all molecules can be called compounds. Molecules are formed by two or more atoms that are bonded by chemical bonding's. Compounds are constructed by two or more elements where the elements are mixed in fixed ratios.

Answer:

Molecules are formed by two or more atoms that are bonded by chemical bondings.
Compounds are constructed by two or more elements where the elements are mixed in fixed ratios

*All compounds can be classified as molecules, but not all molecules can be called compounds.

Explanation:

 pls brainliest if you don't mind

anyway i hope this helped have an awesome day bye byee

Two stones are separated by a vertical distance y (in meters) from each other. One stone is thrown down with an initial velocity v01 = -23 m/s and the other is thrown up from the ground with an initial v02 = 5 m/s at the same time the other is thrown.
How far, in meters, must they be separated so they hit the ground at the same time?

Answers

The formula y = - 1 2 g t 2 y = - frac 1 2 g t 2 y=-21gt2 describes the vertical distance from the ground, where g is the acceleration of gravity and h is a height.

When you throw two stones of an equal sizes do they hit the ground at the same time why?It took both stones two hours and twenty minutes to fall to the ground. As a result, since height is constant for both particles, time is solely dependent on height. Both will fall to the ground simultaneously since the forces and height are equal.Things with various masses will nevertheless strike the ground at the same time if they are dropped from the same height because Earth provides them the exact same acceleration.The formula t=g2h provides the free fall time. Both stones hit the ground at the same time because t is independent of mass and h and g are equal.

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A diver jumps from a 3.0 m board with an initial upward velocity of 5.5 m/s. What is the time the diver was in the air?

Answers

The answer is that the time the diver was in the air is 1.13 seconds.

To determine the time the diver was in the air, we can use the kinematic equation:

Δy = viΔt + 1/2at²,

where Δy is the displacement, vi is the initial velocity, a is the acceleration due to gravity (g), and t is the time.The initial velocity, vi, is given as 5.5 m/s, and since the diver jumps upwards, the displacement, Δy, is equal to the height of the board, which is 3.0 m. The acceleration due to gravity, a, is -9.8 m/s² (negative because it acts downwards).Substituting the known values into the equation:3.0

m = (5.5 m/s)t + 1/2(-9.8 m/s²)t²

Simplifying, we get:

4.9t² + 5.5t - 3.0 = 0

We can solve for t using the quadratic formula:

t = (-5.5 ± √(5.5² - 4(4.9)(-3.0))) / (2(4.9))= (-5.5 ± 1.59) / 9.8= -0.47 s or 1.13 s

Since time cannot be negative, the time the diver was in the air is 1.13 seconds.

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Shanti is riding on a train that is moving at a speed of 90 km/h. He is carrying a power cord for his phone that is 1.2 m long.

Which describes the length of the power cord when Shanti gets off the train?

cannot be determined
less than 1.2 m
more than 1.2 m
equal to 1.2 m

Answers

Answer:

D. equal to 1.2

Explanation:

on edg

The length of the power cord will be equal to 1.2 m.

Describe about the length of power cord? The train is moving at a speed of 90 km /hr. Train was moving but the person in the train can be considered to be at rest. Shanti is the person travelling on the train. Her cord can be used only by her and the cord length of the phone will be 1.2 m.The length can be measured through the distance.The unit of length is meter.As we know the concept of motion and rest, there only the train in motion, shanti was at rest and shanti's power cord were also in the rest. Power cord length will be determined only at the time of manufacturing.If the power cord length to be change then the crimping process.So, the length will not change suddenly.

The length of the power cord when shanti gets off the train is equal to 1.2 m.

The Correct answer is Option D.

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Name:.
Date:
Homework: Writing an Argument About
Australia's Skin Cancer Rate
G
4
You now have enough evidence to explain why Australia's skin cancer rate is so high. Review your
argument from Chapter 2 and think about how you will convince the AHA that both Claim 2 and
Claim 3 are accurate. You will use your completed Reasoning Tool from Activity 3 to revise and add to
your argument.
Question: Why is the skin cancer rate in Australia so high?

Answers

Three cars are driving at 29.0 m/s along the road shown in the figure (Figure 1). Car B is at the bottom of the hill and car C is at the top. Suppose each car suddenly brakes hard and starts to skid. Assume μk=1.00. What is the x-component of the tangential acceleration (i.e., the acceleration parallel to the road) of car A?

Answers

Since the car masses are unknown, we are unable to calculate the numerical value of the x-component of Car A's tangential acceleration.

How do kinetic and potential energy compare?

The energy that is held in any object or system as a function of its position or component arrangement is known as potential energy. The object or system is unaffected by external factors like air pressure or altitude. Kinetic energy, on the other hand, describes the power of moving particles within a system or an object.

They are being affected by the kinetic frictional force, which is caused by:

f = μk * N

Therefore,

fB = μk * N = μk * mB * g

Car C is at its highest point at the top of the hill, where the normal force acting on it is equal to the force of gravity. Therefore,

fC = μk * N = μk * mC * g

where mC is the mass of Car C.

For Car A, the x-component of the tangential acceleration is given by:

aA = (fB - fC) / mA

where mA is the mass of Car A.

We can substitute the following values and simplify by assuming that the mass of each of the three automobiles is the same:

aA = (μk * mB * g - μk * mC * g) / mA

aA = μk * g * (mB - mC) / mA

Since μk = 1.00 and g = 9.81 m/s², we can plug in the values and get:

aA = (mB - mC) * 9.81 / mA

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Three cars are driving at 29.0 m/s along the road shown in the figure (Figure 1). Car B is at the bottom

no i dont have one soory

Answers

Answer:

u dont have a question

Explanation:

?? bc i would gladly help u

can the average speed ever be zero explain​

Answers

Explanation : The average speed of a moving body can never be zero but the average velocity of a moving body can be zero.

describe how moral relativism was influenced by einstein theories of relativity and subsequently the trend toward the idea there are no absolutes?

Answers

The special and general theories of relativity and Albert Einstein's audacious theory that light is a particle are his most famous works as a physicist and Nobel winner. The most well-known scientist of the 20th century is perhaps him.

In March 1879, he was born in Ulm, Württemberg. He had a great interest in nature and the capacity to comprehend challenging mathematical ideas even as a young man in Munich. He had an unremarkable high school experience, doing exceptionally well in arithmetic but completely failing the classics, which were then thought to be crucial for anybody planning to attend college. He detested school's dreary regimentation and uncreative atmosphere.

The second study established a lot of information regarding the nature of molecules and explained Brownian motion, which is the random jostling of molecules floating in a fluid. 16 years later, this study helped him win the physics Nobel Prize.

However, his third work, "On the Electrodynamics of Moving Bodies," was left out of the award's wording. The third article was the one that would have the biggest impact on contemporary physics. It included Einstein's Special Theory of Relativity, which greatly simplified how we think about how radiation, like light, interacts with matter. Speaking about one body moving and another being motionless has no real significance, according to Einstein. Only in connection to one other can bodies be conceived of as moving;

This specifically implies that, regardless of the frame of reference, electromagnetic radiation's (such as light's) speed remains constant. Even well-known scientists struggled to comprehend this theory because of Einstein's insightful and audacious viewpoint. But over time, when the predictions made by his theory were repeatedly verified, the Special Theory of Relativity finally transformed how scientists thought about matter, space, time, and everything that interacts with them.

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explain why the ray does not bend when it enters the semi circular glass block

Answers

The ray does not bend when it enters the semi circular glass block - Light ray incident on semicircular block at 90 degrees, therefore there is no change in the direction of ray at P.

Electromagnetic radiation that falls within the region of the electromagnetic spectrum that the human eye can see is known as light or visible light.

Light is electromagnetic radiation that the human eye can perceive. From radio waves with wavelengths measured in meters to gamma rays with wavelengths shorter than around 1 1011 meters, electromagnetic radiation occurs throughout an incredibly broad range of wavelengths.

Light governs our sleep-wake cycle and is crucial to our health and wellbeing. In actuality, "light" that is visible is a type of radiation, which is just energy that moves in the form of electromagnetic waves. It can alternatively be explained as a flow of "wave-packets," or particles, known as photons.

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A 6.35 kg bowling ball moving 8.49 m/s strikes
a 1.59 kg bowling pin at rest. After, the pin moves 20.1 m/s at a -77.0° angle. What is
the x and y component of the ball's final velocity?

Answers

The x and y component of the ball's final velocity are respectively 7.35 m/s and  4.90 m/s.

What is velocity?

The rate at which a body's displacement changes in relation to time is known as its velocity. Velocity is a vector quantity with both magnitude and direction. SI unit of velocity is meter/second.

Given that:

Mass of the ball: M = 6.35 kg.

Initial velocity of ball: U = 8.49 m/s.

Mass of the pin at rest: m = 1.59 kg.

Final velocity of pin: v = 20.1 m/s at a -77.0° angle.

Let the x and y component of the ball's final velocity are respectively V₁ m/s and  V₂ m/s.

Appling conservation of momentum along x axis:

MU + m.0 = MV₁ + mvcos(-77.0°)

⇒ V₁ = u - (m/M) v cos(-77.0°)

After putting the values we get:

V₁ = 7.35 m/s.

Appling conservation of momentum along y-axis:

M.0 + m.0 = MV₂ + mvsin(-77.0°)

⇒ V₂ = - (m/M) vsin(-77.0°)

After putting the values we get:

V₂ = 4.90 m/s.

Hence, the x and y component of the ball's final velocity are respectively 7.35 m/s and  4.90 m/s.

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6. Two forces of 50 N and 30 N, respectively, are acting on an object. Find the net force (in N) on the object if … a. the forces are acting in the same direction b. the forces are acting in opposite directions.

Answers

Answer: So, if the forces are in the same direction, it'll be 50N+30N= 80N!

If the forces are in opprsite direction it'll be 50N-30N= 20N (or visa-versa)

Explanation: This is because if the forces are in the same direction, like 2 people are pushing a body with 0 mass (I know, weird but imagine it) and both the people are applying the force in the same direction, let's say East, so the total fore exerted on the body will add up to become 50N+30N=80N.

And if the forces are phusing the body in oposite direction, then, let's say the bigger guy is pushing on the West Direction with 50N  of force and the weaker guy is pushing on the opposite direction with 30N of force, so this time their forces cancel out and it becomes 50N-30N= 20N (or 30N-50N= -20N).

How do you get c and d?

A positive charge of magnitude Q1 = 0.85 nC is located at the origin. A negative charge Q2 = −7.5 nC is located on the positive x-axis at = 15.5 cm from the origin. The point P is located at = 6.5 cm above the charge Q2.

a) Sketch the directions of Q1, Q2, and on the figure. Make sure to label your arrows.

b) Determine the magnitudes of E1 and E2 at point P.

c) Determine the x and y components of E1 at point P.

d) Determine the x and y components of E2 at point P.

e) Determine the magnitude and direction of the net electric field at point P due to the two charges.

How do you get c and d?A positive charge of magnitude Q1 = 0.85 nC is located at the origin. A negative

Answers

Answer:

of the net electric field at point P due to the two charges.

Explanation:

help huhuhuhuhuhuhuhu​

help huhuhuhuhuhuhuhu

Answers

Is this past due? I think it is A

A thin infinite nonconducting sheet with uniform surface charge density σ = 11.0·10-6 C/m2 lies in the y-z plane. A charge Q = 6.50 μC is located on the x axis at a distance x= 30.00 cm from the sheet as shown.
What work must be done against the electric forces in order to move the charge Q from the position x= 30.00 cm to the position x= 20.00 cm on the x axis?

Answers

The work that must be done against the electric forces in order to move the charge Q from the position x= 30.00 cm to the position x= 20.00 cm on the x-axis is -1.09·10-5 J.

What is work done?

Work done is described as the multiplication of the magnitude of displacement d and the component of the force that is in the direction of displacement.

Work done = ΔU = qΔV

where V = σ/2ε₀ * |x|

At x = 30.00 cm, the potential is:

V₁ = σ/2ε₀ * |x1| = (11.0·10-6 C/m2)/(2 * 8.85·10-12 C2/N·m2) * 0.3 m

V₁ = 5.01 V

At x = 20.00 cm, the potential is:

V₂ = σ/2ε₀ * |x2| = (11.0·10-6 C/m2)/(2 * 8.85·10-12 C2/N·m2) * 0.2 m

V₂ = 3.34 V

ΔV = V₂ - V₁

ΔV = 3.34 V - 5.01 V

ΔV  = -1.67 V

We then calculate the work required as:

Work done = qΔV = (6.50·10-6 C)(-1.67 V)

Work done = -1.09·10-5 J

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find the rms speed of a sample of oxygen at 30° C and having a molar mass of 16 g/mol.​

Answers

At 30°C, the rms speed of a sample of oxygen with a molar mass of 16 g/mol is approximately 482.34 m/s.

The root mean square (rms) speed of a gas molecule is a measure of the average speed of the gas particles in a sample. It can be calculated using the formula:

vrms = √(3kT/m)

Where:

vrms is the rms speed

k is the Boltzmann constant (1.38 x 10^-23 J/K)

T is the temperature in Kelvin

m is the molar mass of the gas in kilograms

To calculate the rms speed of oxygen at 30°C (303 Kelvin) with a molar mass of 16 g/mol, we need to convert the molar mass to kilograms by dividing it by 1000:

m = 16 g/mol = 0.016 kg/mol

Substituting the values into the formula, we have:

vrms = √((3 * 1.38 x 10^-23 J/K * 303 K) / (0.016 kg/mol))

Calculating this expression yields the rms speed of the oxygen sample:

vrms ≈ 482.34 m/s

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What is the economic term for the act of sacrificing one good or service to purchase or produce another?

Answers

Answer:

Trade-off. sacrificing one good or service to purchase or produce another.

A car (1200kg) going 15m/s [E60°S] collides with another car (1000kg)
going at 6.0m/s [W]. What is the final velocity of the cars if they stick
together?

Answers

The final velocity of the cars if they stick together is 1.36 m/s.

What is the final velocity of the cars if they stick together?

The final velocity of the cars if they  stick together is calculated by applying the principle of conservation of linear momentum as follows;

m₁u₁ + m₂u₂ = v(m₁ + m₂)

where;

m₁ is the mass of the first carm₂ is the mass of the second caru₁ and u₂ are the initial velocity of the carsv is the final velocity of the cars

1200(15 cos60) - 1000(6 x cos0) = v (1200 + 1000)

3000 = 2200v

v = 3000/2200

v = 1.36 m/s East of south.

Thus, The final velocity of the cars if they  stick together is 1.36 m/s.

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Batman shoots a grappling hook
34.6 m/s at an 80.2° angle. What is the magnitude only (no direction) of the velocity of the hook 1.09 s later?

(Unit = m/s)

Answers

Answer:

24.132 m/s

Explanation:

Note

\(U\) = Initial Velocity

\(U_x\) = Initial Horizontal Velocity

\(U_y\) = Initial Vertical Velocity

\(V\) = Final Velocity

\(V_x\) = Final Horizontal Velocity

\(V_y\) = Final Vertical Velocity

\(B\) = launch angle

\(g\) = gravity

\(t\) = time

\(U_x=U*cos(B)\)

\(U_y=U*sin(B)\)

The horizontal component of the velocity is constant throughout the flight. So \(U_x=V_x\) It can be defined as

\(V_x=U*cos(B)\)

We can use the kinematics equation

\(V=U+at\)

Gravity is acting downwards; gravity would be negative

\(V_y=U_y-gt\)

The magnitude of the velocity can be defined as

\(V=\sqrt{V_x^2+V_y^2}\)

Inserting some of the other equations gives us an equation at a given time (t).

\(V=\sqrt{(U*cos(B))^2+(U*sin(B)-gt)^2}\)

\(V=\sqrt{(UcosB)^2+(UsinB)^2+(gt)^2-2gtU*sinB\)

\(V=\sqrt{U^2+g^2*t^2-2*t*g*U*sinB}\)

\(V(t)=\sqrt{U^2+g^2t^2-2tgUsinB}\)

We are given

\(U=34.6\)

\(B=80.2\)

\(t=1.09\)

\(g=9.81\)

\(V(1.09)=\sqrt{34.6^2+9.81^2*1.09^2-2*1.09*9.81*34.6*sin80.2}\)

\(V(1.09)=\sqrt{34.6^2+114.338-2*1.09*9.81*34.6*sin80.2}\)

\(V(1.09)=\sqrt{34.6^2+114.338-739.94868*sin80.2}\)

\(V(1.09)=\sqrt{34.6^2+114.338-729.151}\)

\(V(1.09)=\sqrt{1197.16+114.338-729.151}\)

\(V(1.09)=\sqrt{582.347}\)

\(V(1.09)=24.132\)

A rating/review would be much appreciated. Hope this helps!

Let me know if you have any questions about my work

Give me the real answer

Answers

Answer: 12,339

Explanation:

circular saw blade of diameter 0.190 m starts from rest. In a time interval of 5.80 s it accelerates with constant angular acceleration to an angular velocity of 145 rad/s. Part A Find the angular acceleration. Express your answer in radians per second squared. α = nothing rad/s2 Request Answer Part B Find the angle through which the blade has turned. Express your answer in radians. θ = nothing rad Request Answer Provide Feedback

Answers

Answer:

Explanation:

We shall apply newton's law equation valid for rotational motion .

ωt = ω₀ + α t where ωt  is angular velocity after time t , ω₀ is angular velocity at t= 0 and α is angular acceleration

145 = 0 + α x 5.8

α = 25 rad / s²

B )

θ = ω₀ t +  1/2 α t²

= 0 + .5 x 25 x 5.8 x 5.8

= 420.5 rad .

True or false? The mass number represents the sum of protons and neutrons in the nucleus of an atom (isotope).

Answers

Answer:

True

Explanation:

I looked it up for you it's true

A 39.4 kg beam is attached to a wall with a link and its far end is supported by a cable such that the angle between the beam and the cable is 90 degrees. If the beam is inclined at an angle of theta = 33.1 degrees with respect to horizontal, what is the magnitude of the horizontal component of the force exerted by the link on the beam?

Answers

Answer:

192.6N

Explanation:

Let's consider the forces acting on the beam:

Weight of the beam (W): It acts vertically downward and has a magnitude of W = mass * gravitational acceleration = 39.4 kg * 9.8 m/s^2.

Force exerted by the link on the beam (F_link): It acts at an angle of 90 degrees with respect to the beam and has two components: the vertical component and the horizontal component.

Tension in the cable (T): It supports the far end of the beam and acts at an angle of 90 degrees with respect to the beam. Since the angle between the beam and the cable is 90 degrees, the tension in the cable only has a vertical component.

Let's break down the forces acting on the beam:

Vertical forces:

W (weight of the beam) - T (vertical component of tension) = 0

T = W

Horizontal forces:

F_link (horizontal component of the force exerted by the link) = ?

To find the magnitude of the horizontal component of the force exerted by the link on the beam (F_link), we need to consider the equilibrium of forces in the horizontal direction.

Since the beam is inclined at an angle of θ = 33.1 degrees with respect to the horizontal, the horizontal equilibrium equation can be written as:

F_link = W * sin(θ)

Let's substitute the given values:

W = 39.4 kg * 9.8 m/s^2

θ = 33.1 degrees

F_link ≈ (39.4 kg * 9.8 m/s^2) * sin(33.1 degrees)

Using a calculator, we find that the magnitude of the horizontal component of the force exerted by the link on the beam (F_link) is approximately 192.6 N.

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