The force of magnitude f acts along the edge of the triangular plate. Determine the moment of f about point o. Find the general result and then evaluate your answer if f = 100 n, b = 480 mm, and h = 220 mm. The moment is positive if counterclockwise, negative if clockwise
Answers
We have a triangular plate ABC with point O at the bottom left corner. The force of magnitude f acts along the edge of the triangular plate. Our aim is to find the moment of f about point O. Let's determine the general result and then evaluate the answer for f = 100 n, b = 480 mm, and h = 220 mm.
The formula for the moment of force is given by the product of force and perpendicular distance from the point to the line of action of force. So, the moment of force f about point O can be given by;Moment (M) = f x dWhere, f is the force acting along the edge of the plate. And d is the perpendicular distance from point O to the line of action of force f.As per the given figure, let's take d as the distance from point O to the line containing point C. Using similar triangles, we can find d.
We have;d/h = (b-d)/b ⇒ db = h (b-d) ⇒ db = hb - hd ⇒ d = (hb/db)Since the moment is positive if counterclockwise, negative if clockwise, we have to determine the direction of moment before plugging in the values of given variables. As the force is acting in a clockwise direction, the moment of force will be negative (as per the right-hand thumb rule).So, substituting the values of f, b, and h in the formula, we get;M = -100 × (220/480) = -45.83 NmTherefore, the moment of force about point O is -45.83 Nm.
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Related Questions
Vector A has a magnitude of 27 m and
points in a direction 32° above the positive x axis. Vec-
tor B has a magnitude of 35 m and points in a direction
55° below the positive x axis. Sketch the vectors A, B,
and C = A + B. Estimate the magnitude and the
direction angle of from
your
sketch.
Answers
Answer:
The magnitude of the resultant is 55.0 m
The angle of resultant is 18.4° below the x axis
Explanation:
Given that,
Magnitude of vector A = 27 m
Angle = 32° above the x axis
Magnitude of vector B = 35 m
Angle = 35° blow the x axis
We need to calculate the angle between the vectors
Using given angle
\(\theta=32-(-55)\)
ptex]\theta=87^{\circ}\)
We need to calculate the sum of vector A and B
Using formula of sum of vector
\(C=\sqrt{A^2+B^2+2AB\cos\theta}\)
Put the value into the formula
\(C=\sqrt{27^2+35^2+2\times27\times35\cos87}\)
\(C=55.0\ m\)
We need to calculate the direction angle
Using formula of angle
\(\tan\theta=\dfrac{B\sin\theta}{A+B\cos\theta}\)
Put the value into the formula
\(\tan\theta=\dfrac{35\sin87}{27+35\cos87}\)
\(\tan\theta=1.21\)
\(\theta=\tan^{-1}(1.21)\)
\(\theta=50.4\)
We need to calculate the angle of the resultant vector makes with vector A
Using formula of angle
\(\phi=32-50.4\)
\(\phi=-18.4^{\circ}\)
Negative sign shows that the direction of resultant is below the x axis
Hence, The magnitude of the resultant is 55.0 m
The angle of resultant is 18.4° below the x axis
The magnitude of the sum of the vectors, C, can be obtained using the
parallelogram method.
The magnitude of the resultant vector, C, is approximately 45.3 meters.The direction of the resultant vector, C, is approximately 18.6° below the horizontal.Reasons:
The given parameters are;
Magnitude of vector A = 27 m
The direction of vector A = 32° above the horizontal
Magnitude of vector B = 35 m
The direction of vector B = 55° above the horizontal
By drawing, using the parallelogram resolution of vectors on MS Word, and
taking extension of the resultant in the x and y-direction, we have;
C = A + B = 42.92·i - 14.48·j
The magnitude of the resultant vector is therefore;
|C| = √((42.92 m)² + (14.48 m)²) ≈ 45.3 m
The direction is given as follows;
\(\theta = arctan \left(-\dfrac{14.48}{42.92} \right) \approx -18.6^{\circ}\)
Verifying, we get;
Vector A = 27×cos(32°)·i + 27×sin(32°)·j ≈ 22.9·i + 14.31·j
Vector B = 35×cos(-55°)·i + 35×sin(-55°)·j ≈ 20·08·i - 28.67·j
C = A + B = ( 22.9·i + 14.31·j) + (20·08·i - 28.67·j) = 42.98·i - 14.36·j
Therefore, the vector obtained by sketch is correct approximately.
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I'll give brainiest.
Approximate how many times greater Saturn's mass is than Mercury's.
Answers
Mass of the saturn = 5.683 × 10^26 Mass of the mercury = 3.285 × 10^23
Answer:
Planet Mass (in kilograms)
Saturn 5.685 · 1026
Planet Mass (in milligrams)
Saturn 5.685 · 1032
Explanation:
multiple choice
15) A coiled spring used to help a door close has ________ ________energy when the door is open.
16) After braking, a bicycle's tires increase in temperature as friction causes some of the
mechanical energy to transfer to ________ energy.
Answers
According to conservation of energy, the energy of interacting bodies in a closed system remains constant. The total energy of an isolated system remains constant; it is said to be conserved over a period of time.
Elastic energy is the mechanical implicit energy stored in the configuration of a material or physical system as it's subjected to elastic distortion by work performed upon it. Elastic energy occurs when objects are impermanently compressed, stretched or generally misshaped in any manner.
The mechanical energy is never lost forever , rather it gets converted to thermal energy because of the friction .
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what does the term energy density tell us about the difference between this model and the energy interaction model
Answers
The term energy density tells us that the difference between the particle model and the energy interaction model lies in how the energy is distributed or spread out within a system.What is Energy Density?The amount of energy per unit volume that a substance or system contains is known as energy density.
Energy density is a measure of how much energy is stored in a given volume or mass of a substance or system. It is a vital physical property that affects how a system behaves and how much energy can be extracted from it.Particle Model Vs. Energy Interaction Model The particle model of matter refers to the view of matter as being composed of tiny, indivisible particles that are in constant motion and have kinetic energy. In this model, the behavior of matter is primarily determined by the interactions between these particles.The energy interaction model, on the other hand, views matter as being composed of different forms of energy that can be transferred or transformed from one form to another.
In this model, the behavior of matter is primarily determined by the interactions between different forms of energy.The primary difference between these two models lies in how they distribute or spread out energy within a system. In the particle model, energy is primarily distributed among the particles, while in the energy interaction model, energy is primarily distributed among the different forms of energy that are present in the system. This difference in energy distribution can have significant implications for how a system behaves and how much energy can be extracted from it.
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a car, moving at 30 m/s toward you, blows its horn at 500 Hz. if you are standing stil what frequency do you hear?
Answers
Answer:
If the engine is making sound, then the passer (like you) will be dead
ANYWAYS
but if it was silent you can hear it softly because since speed of light (the car) is lower than the speed of sound ( horn )
Explanation:
since the car is going in Miles per second if you convert it to Speed of sound that is what is equals to
c=√K^s / ρ
Question 8 of 20
You heat a pot of water on a gas stove. Not all the energy from the
combustion of the gas is transformed into thermal energy. What happens to
the rest of the energy released when the gas burns?
OA. It is transformed into light energy.
OB. It is transformed into chemical energy.
C. It is transformed into electrical energy.
OD. It is transformed into nuclear energy.
SUBMIT
Answers
Answer:
None of the choices you provided are correct. When a gas burns, it releases energy in the form of heat and light. Some of this energy is transferred to the pot of water, increasing its temperature, but some of the energy is also released as light. However, the rest of the energy is not transformed into chemical, electrical, or nuclear energy. Instead, it is lost to the environment in the form of waste heat. This is why gas stoves can become hot to the touch - they are releasing excess energy in the form of heat that is not being used to heat the pot of water.
Explanation:
a pendulum wiht a cord length of 1 m swings in a vertical plane, when the pendulum is in the two horizontal ositions 90 and 270 its speed is 5 m/s what is the magnitude of the radial accelertaion
Answers
The magnitude of the radial acceleration of pendulum is 25 rad/s²
What is acceleration?Acceleration can be defined as the rate change of velocity with time.
acceleration a = (Δv) / (Δt)
The centripetal acceleration or radial acceleration for the pendulum is given by
a = v²/r
Given is the radius = cord length of pendulum =1m and the velocity v = 5m/s, then the acceleration will be
a = (5)² /1
a = 25 rad/s²
Thus, the radial acceleration is 25 rad/s²
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Once the object hits the water, the forces are balanced and the object will stop. Support your answer with reasoning.
Answers
S.E.A.L Certified Answer ↓↓↓
FALSE...
Explanation:
Once the box hits the water, the forces are balanced (50 N down and 50 N up). However, an object in motion (such as the box) will continue in motion at the same speed and in the same direction. When the box strikes the water, it stops accelerating; yet it does not stop moving
Because:
Once the object hits the water, the forces are balanced and the object will stop. Support your answer with reasoning.
↑↑↑ FALSE ↑↑↑BRAINLIEST PLS... :)
if a car travels 270 meters in 30 seconds then what is its average speed
Answers
Answer:
the answer is 32,400
Explanation:
I looked it up for you
The average speed denotes the average rate of speed over the extent of a trip. The average speed of a car which travels 270 meters in 30 seconds is 9m/s.
What is average speed?The average speed can be defined as the ratio of the total distance travelled by an object to the total time taken. It is a scalar quantity. It is represented by the magnitude and does not have direction. Its SI unit is m/s.
The average speed of an object help us to calculate the rate of travel time and the distance. The average speed of an object when it covers the same distance at two different speed, X and Y is:
Average speed = 2XY/ X+Y
The equation used here to calculate the average speed is:
Average speed = Total distance / Total time
Average speed = 270 m / 30 s = 9 m/s
Thus the average speed is 9 m/s.
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please elp! will mark BRAINLIEST
Answers
Answer:
Help with what
Explanation:
which trip would require the greatest energy expenditure? a trip from the moon's surface to a colony at the l5 lagrange point a trip from a colony at the l5 lagrange point to low earth orbit (leo) a trip from the moon's surface to low lunar orbit (llo) a trip from the earth's surface to low earth orbit (leo)
Answers
a trip from the Earth's surface to Low Earth Orbit (LEO) is the trip that would require the greatest energy expenditure.
The Webster's Medical Dictionary defines basal metabolism, the major source of total energy expenditure that accounts for 60–70% of it, as "the turnover of energy in a fasting and resting organism using energy solely to maintain vital cellular activity, respiration, and circulation as measured by the basal metabolic rate" (BMR).You could be seeking for easy strategies to burn more energy if you feel like you are sitting more and moving less. Fortunately, there are a variety of non-workout methods to increase your total daily energy expenditure (TDEE). Your TDEE may be increased by just moving around more, walking the dog more, or even cleaning the bathtub.
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23 and 24 only please help!
Answers
Answer:
23: Acceleration 24:1m/s^2
Explanation:
\(a = (v_f - v_i) /delta(t)\\a=(16-10)/6\\a=6/6\\a=1m/s^2\)
Please help me with 17 and 18!!!!!! (It's related to 16) It's due today!!!!! NO LINK PLEASE!!!!!!!!
Answers
Answer:17: A wave can be defined as follows: It is important to realize that a wave is quite a different object than a particle. A baseball thrown though a window transfers energy from one point to another, but this involves the movement of a material object between two points.
Explanation:
18: In this way, we classify waves into electromagnetic and mechanical waves. The main difference between mechanical and electromagnetic waves is that electromagnetic waves do not require a medium to propagate whereas mechanical waves require a medium in order to propagate.
ACTIVITY 4
Applying the equation learned, answer the following problems:
1. A bowling ball whose mass is 4.0 kg is rolling at a rate of 2.5 m/s. What is its momentum? p = m/s. What Is Its Momentum?
Given:
Find:
Formula:
Solution:
2. A skateboard is rolling at a velocity of 3.0 m/s with a momentum of 6.0 kg-m/s. What is its mass?
Given:
Find:
Formula:
Solution:
3. A pitcher throws a baseball with a mass of 0.5 kg and a momentum of 10 kg-m/s. What is its velocity?
Given:
Find:
Formula:
Solution:
Subject Is Science
Good Perfect Complete=Brainlist
Copy Wrong Incomplete=Report
Good Luck Answer Brainly Users:-)
Answers
Answer:
1) 10 kg-m/s
2) 2 kg
3) 20 m/s
Explanation:
The momentum of an object can be calculated using the equation:
\(\large\boxed{p=mv}\)
where:
p is momentum (measured in kilogram meters per second).m is mass (measured in kilograms).v is the velocity (measured in meters per second).\(\hrulefill\)
Question 1For this question we need to find the momentum of a bowling ball whose mass is 4.0 kg is rolling at a rate of 2.5 m/s.
Given values:
m = 4.0 kgv = 2.5 m/sSubstitute the given values into the momentum formula and solve for p:
\(p=4.0\;\text{kg} \cdot 2.5\;\text{m/s}\)
\(p=10\;\text{kg m/s}\)
Therefore, the momentum of the bowling ball is 10 kg-m/s.
\(\hrulefill\)
Question 2For this question we need to find the mass of a skateboard rolling at a velocity of 3.0 m/s with a momentum of 6.0 kg-m/s.
Given values:
p = 6.0 kg-m/sv = 3.0 m/sAs we want to find mass, rearrange the momentum formula to isolate m:
\(\large\boxed{m=\dfrac{p}{v}}\)
Substitute the given values into the formula and solve for m:
\(m=\dfrac{6.0\; \text{kg m/s}}{3.0\; \text{m/s}}\)
\(m=2\;\text{kg}\)
Therefore, the mass of the skateboard is 2 kg.
\(\hrulefill\)
Question 3For this question we need to find the velocity of a baseball with a mass of 0.5 kg and a momentum of 10 kg-m/s.
Given values:
p = 10 kg-m/sm = 0.5 kgAs we want to find velocity, rearrange the momentum formula to isolate v:
\(\large\boxed{v=\dfrac{p}{m}}\)
Substitute the given values into the formula and solve for v:
\(v=\dfrac{10\; \text{kg m/s}}{0.5\; \text{kg}}\)
\(v=20\;\text{m/s}\)
Therefore, the velocity of the baseball is 20 m/s.
A rectangular block of copper metal weighs 1896 g. The dimensions of the block are 8.4 cm by 5.5 cm by 4.6 cm. From this data, what is the density of copper? (hint: find the volume of a block first)
Answers
Answer:
8.9 g/cm^3
Explanation:
density = mass/volume
volume = length * width * height
volume = (8.4 cm)(5.5 cm)(4.6 cm)
volume = 212.52 cm^3
mass = 1896 g
density = (1896 g)/(212.52 cm^3)
density = 8.9 g/cm^3
Many smoke detectors use americium-241to detect very small particulates in the air. This is done by using a stream of radioactive particles that can be stopped by the small smoke particulate. Which type of radiation is MOST LIKELY used in a smoke detector, as it can be stopped by something this small?
a
neutrons
b
beta particles
c
alpha particles
d
gamma radiation
Answers
Answer: C.) Alpha Particles
Explanation: Just took it <3
which of the following is an explanation for the apparebtbincrease in the rate that the universe is expanding?
a. hadrons
b. dark energy
c. CMB radiation
d. dark matter
Answers
An explanation for the apparent increase in the rate at which the universe is expanding is dark energy. The correct option is b.
What is dark energy?A hypothesized energy known as "dark energy" acts in opposition to gravity by exerting a repellent, negative pressure. It has been proposed to explain the observable characteristics of far-off type Ia supernovae, which reveal the universe is expanding at a faster rate than usual.
We would first need to locate dark energy before scientists could even consider whether it could be possible to use it as a source of electricity.
Therefore, the correct option is b. dark energy.
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the light-year is defined to be the a. time it takes for light to travel from the nearest star to the earth b. time it takes light to travel from the sun to the earth c. average distance between the earth and the nearest star d. distance light travels in one year in space
Answers
The light year is defined as the amount of distance travelled by the light in one year.
When we talk about very large units of distance we come across the word light year.
Let us say that we took a light source and we allowed the light coming out from it to move in a straight direction. Now the amount of distance that this light will cover in the duration of one year called as the light year.
Light year is a very very large unit of measuring the distances this is why it is only used when we talk about astronomical objects like the distance between sun and earth or the distance between sun and moon at 17.
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a horizontal meter stick has a mass of 213 g.213 g. three weights ride on the meter stick: 259 g259 g at 41.3 cm,41.3 cm, 193 g193 g at 75.5 cm,75.5 cm, and 207 g207 g at 90.3 cm.90.3 cm. at what location on the meter stick would the system be in balance if it were suspended there?
Answers
To find about the suspended, learn suspended and suspended particles.
What is suspension?
A heterogeneous mixture called a suspension is one in which the solid components are dispersed throughout the liquid without actually dissolving in it. A homogeneous mixture of particles with a diameter greater than 1000 nm and that are visible to the unaided eye is referred to as a suspension.
What is suspended particle?
Finely divided solids or liquids, known as suspended particulate matter (SPM), may be released into the atmosphere as a result of industrial processes, natural processes, or human activity.
Xcm= mini/mi
⇒ (259)(41.3)+(193)(75.5)+(207)(90.3)/259+193+207
⇒10696.7+14571.15+18692.1/659
⇒Xcm=66.707 cm
Therefore, the suspended balance is 66.707 cm.
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What is the equation: If F=10 N, a=5 m/s², m=?
Answers
Answer:
2 kg
Explanation:
Remember:
F = m * a re-arrange to
F/a = m substitute in the given values
10 / 5 = 2 kg
At resonance, a driven RLC circuit has VC = 5.0 V , VR = 8.0 V , and VL = 5.0 V . What is peak voltage across the circuit?
Answers
Answer:
V = 18v
Explanation:
total voltage= VC + VR + VL
total voltage= 5 + 8 + 5
total voltage= 18v
Suppose you film the car from the side. In one trial, the camera is
moving at the same speed in the same direction as the car. In
another trial, the camera is moving at the same speed in the
opposite direction. If the car's speed is 0.3 m/s relative to its
surroundings, what will its apparent speed relative to the camera be
in each trial?
Answers
Answer:
you have to in goggle not here
The apparent speed relative to the camera on the first trial would be 0 m/s and the apparent speed relative to the camera on the first trial would be 0.6 m/s
What is speed?
The total distance covered by any object per unit of time is known as speed. It depends only on the magnitude of the moving object. The unit of speed is meter/second. The generally considered unit for speed is a meter per second.
As given in the problem suppose you film the car from the side. In one trial, the camera is moving at the same speed in the same direction as the car. In another trial, the camera is moving at the same speed in the
opposite direction. If the car's speed is 0.3 m/s relative to its surroundings
While moving in the same direction with the same speed the car seems to be static as compared to the camera, as the apparent speed of the camera is 0 m/s
While moving at the same speed as a car in the opposite direction the apparent speed of the camera would be 0.6 m/s
Thus, the apparent speed would be 0 m/s and 0.6 m/s in the successive trails
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If you throw a baseball straight up,What is its velocity at the highest point?
Answers
Answer: 52.
Explanation: Critical Thinking When a ball is thrown vertically up, it keeps going up until it hits a certain position, and then falls down. At the maximum point, the velocity is instantaneously zero.
I may or may not be a nerd lol.
Hope This Helps!!! : )
What happens to the water vapor in the air when the air temperature cools?
Answers
Answer:
it becomes a liquid. it becomes water
Calculate the mass of ice that requires 240000 J to change its state to water ? Water Latent Heat of fusion 2.66 x 10 +^5 (10 raised to the power of 5 )
Answers
Answer:
Explanation: 1.108
What does an element's group number tell you about an element's chemical and physical properties ?
Answers
for example; the group 15 ( nitrogen family ),
The valence shell ( outermost shell ) electronic configuration of is ns2np3 , which clearly shows that all the elements have the tendency to make same kind if bonds with a common element.
That is, consider the hydrates of the group, it is NH3 ( ammonia ),PH3 (phosphine ), AsH3 (arsine ) , SbH3 ( stibine ) etc. They are having the same chemical formula and same type of bond (covalent bond )
The physical properties include melting point, boiling point, density etc.
Here for the same nitrogen family, all elements except nitrogen are solids in room temperature whereas nitrogen is gas.
If a feather takes 2.5 seconds to drop 200cm, what is the speed of this feather
Answers
Answer:
80cm per second
Explanation:
El monoxido de carbono reacciona con el hidrogeno gaseoso para producir metanol (ch3oh) calcule el reactivo limite y el reactivo en exceso si la reaccion inicia con 2,0 g de cada reactivo calcule cuantos gramos de metanol se obtiene
Answers
Answer:
Se obtienen 2,27 gramos de metanol.
Explanation:
La reacción entre monóxido de carbono e hidrógeno para producir metanol es la siguiente:
CO + 2H₂ → CH₃OH
Para encontrar el reactivo limitante y el reactivo en exceso, debemos calcular el número de moles de CO y H₂:
\(\eta_{CO} = \frac{m}{M} \)
En donde:
m: es la masa
M: es el peso molecular
\(\eta_{CO} = \frac{m}{M_{CO}} = \frac{2,0 g}{28,01 g/mol} = 0,071 moles \)
\(\eta_{H_{2}} = \frac{2,0 g}{2,02 g/mol} = 0,99 moles \)
Dado que la relación estequiométrica entre CO y H₂ es 1:2, el número de moles de hidrógeno gaseoso que reaccionan con el monóxido de carbono es:
\( \eta_{H_{2}} = \frac{2}{1}*0,071 = 0,142 moles \)
Entonces, se necesitan 0,142 moles de H₂ para reaccionar con 0,071 moles de CO y debido a que se tienen más moles de H₂ (0,99 moles) entonces el reactivo limitante es CO y el reactivo en exceso es H₂.
Ahora podemos encontar la masa de metanol obtenida usando el reactivo limitante (CO) y sabiendo que la realcion estequiométrica entre CO y CH₃OH es 1:1.
\( \eta_{CH_{3}OH} = \eta_{CO} = 0,071 moles \)
\( m = 0,071 moles*32,04 g/mol = 2,27 g \)
Por lo tanto, se obtienen 2,27 gramos de metanol.
Espero que te sea de utilidad!
A top-fuel dragster accelerates from rest to a velocity of 100 m/s in 8 s. What is the acceleration?
Answers
Answer:
100 m/s ÷ 8 = 12.5 m/s
Explanation:
You must put multiply (÷)
What value of resistor R gives the circuit in the figure a time constant of 22 μs ?
Answers
The value of resistor R that gives the circuit in the figure a time constant of 22 μs is 220 Ω.
The circuit that is in the figure is shown below:Given that time constant (RC) = 22 μs. To find the value of resistor R, we need to use the formula for the time constant:
RC = τ, where R is the resistance and C is the capacitance of the circuit.
Rearranging the above formula, we get:R = τ / C
Where τ is the time constant and C is the capacitance of the circuit.
From the figure, the capacitance is given as 0.1 μF
.Substituting the values of τ and C in the above formula, we get:
R = (22 × 10⁻⁶ s) / (0.1 × 10⁻⁶ F)
R = 220 Ω
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