A solid cylinder of mass 3.0 kg and radius 0.2 m starts from rest at the top of a ramp,inclined 15 $\degree$,and rolls to the bottom without slipping.(For a cylinder I = 0.5MR2)The upper end of the ramp is 1.2 m higher than the lower end.Find the linear speed of the cylinder when it reaches the bottom of the ramp.(g = 9.8 m/s2)

A) 4.7 m/s B) 4.3 m/s C) 4.0 m/s D) 2.4 m/s A) 4.7 m/s B) 4.3 m/s C) 4.0 m/s D) 2.4 m/s

A bucket of water with total mass 23 kg is attached to a rope,which in turn is wound around a 0.050-m radius cylinder,with crank,at the top of a well.The moment of inertia of the cylinder and crank is 0.12 kg*m2.The bucket is raised to the top of the well and released to fall back into the well.What is the kinetic energy of the cylinder and crank at the instant the bucket is moving with a speed of 8.0 m/s?

A) 2.1 x 103 J B) 1.5 x 103 J C) 0.70 x 103 J D) 0.40 x 103 J A) 2.1 x 103 J B) 1.5 x 103 J C) 0.70 x 103 J D) 0.40 x 103 J

A bowling ball has a mass of 7.0 kg,a moment of inertia of 2.8 ´ 10-2 kg*m2 and a radius of 0.10 m.If it rolls down the lane without slipping at a linear speed of 4.0 m/s,what is its angular speed?

A) 0.80 rad/s B) 10 rad/s C) 0.050 rad/s D) 40 rad/s A) 0.80 rad/s B) 10 rad/s C) 0.050 rad/s D) 40 rad/s

Exam 8: Rotational Equilibrium and Rotational Dynamics

A rotating flywheel can be used as a method to store energy.If it is required that such a device be able to store up to a maximum of 1.00 ´ 10⁶ J when rotating at 400 rad/s,what moment of inertia is required?

(Multiple Choice)

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Question 41

According to Newton's second law,the angular acceleration experienced by an object is directly proportional to:

(Multiple Choice)

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Question 42

An object with mass m and moment of inertia I is spinning with an angular momentum L.Its kinetic energy is:

(Multiple Choice)

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Question 43

A uniform meter stick balances on a fulcrum placed at the 40 cm mark when a weight W is placed at the 30 cm mark.What is the weight of the meter stick?

(Multiple Choice)

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Question 44

A 40-kg boy is standing on the edge of a stationary 30-kg platform that is free to rotate.The boy tries to walk around the platform in a counterclockwise direction.As he does:

(Multiple Choice)

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Question 45

A bus is designed to draw its power from a rotating flywheel that is brought up to its maximum speed (3 000 rpm)by an electric motor.The flywheel is a solid cylinder of mass 500 kg and radius 0.500 m (I_cylinder = MR²/2).If the bus requires an average power of 10.0 kW,how long will the flywheel rotate?

(Multiple Choice)

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Question 46

The Earth's gravity exerts no torque on a satellite orbiting the Earth in an elliptical orbit.Compare the motion at the point nearest the Earth (perigee)to the motion at the point farthest from the Earth (apogee).At the point closest to the Earth:

(Multiple Choice)

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Question 47

A rotating flywheel can be used as a method to store energy.If it has 1.0 ´ 10⁶ J of kinetic energy when rotating at 400 rad/s,and if a frictional torque of 4.0 N*m acts on the system,in what interval of time would the flywheel come to rest?

(Multiple Choice)

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Question 48

Two spheres,one with the center core up to r = R/2 hollow and the other solid,have the same mass M and same outer radius R.If they are both rolling at the same linear speed,which one has the greater kinetic energy?

(Multiple Choice)

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Question 49

The total kinetic energy of a baseball thrown with a spinning motion is a function of:

(Multiple Choice)

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Question 50

The Earth's gravity exerts no torque on a satellite orbiting the Earth in an elliptical orbit.Compare the motion of the satellite at the point nearest the Earth (perigee)to the motion at the point farthest from the Earth (apogee).At these two points:

(Multiple Choice)

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Question 51

A 4.0-kg mass is placed at (3.0,4.0)m,and a 6.0-kg mass is placed at (3.0,-4.0)m.What is the moment of inertia of this system of masses about the z-axis?

(Multiple Choice)

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Question 52

A solid cylinder of mass 3.0 kg and radius 0.2 m starts from rest at the top of a ramp,inclined 15 $\degree$ ,and rolls to the bottom without slipping.(For a cylinder I = 0.5MR²)The upper end of the ramp is 1.2 m higher than the lower end.Find the linear speed of the cylinder when it reaches the bottom of the ramp.(g = 9.8 m/s²)

(Multiple Choice)

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Question 53

A turntable has a moment of inertia of 3.0 x 10^-2 kg*m² and spins freely on a frictionless bearing at 25 rev/min.A 0.30-kg ball of putty is dropped vertically on the turntable and sticks at a point 0.10 m from the center.By what factor does the kinetic energy of the system change after the putty is dropped onto the turntable?

(Multiple Choice)

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Question 54

A figure skater with arms initially extended starts spinning on the ice at 3 rad/s.She then pulls her arms in close to her body.Which of the following results?

(Multiple Choice)

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Question 55

The Earth moves about the Sun in an elliptical orbit.As the Earth moves closer to the Sun,which of the following best describes the Earth-Sun system's moment of inertia?

(Multiple Choice)

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Question 56

A bucket of water with total mass 23 kg is attached to a rope,which in turn is wound around a 0.050-m radius cylinder,with crank,at the top of a well.The moment of inertia of the cylinder and crank is 0.12 kg*m².The bucket is raised to the top of the well and released to fall back into the well.What is the kinetic energy of the cylinder and crank at the instant the bucket is moving with a speed of 8.0 m/s?

(Multiple Choice)

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(36)

Question 57

An 80-kg man is one fourth of the way up a 10-m ladder that is resting against a smooth,frictionless wall.If the ladder has a mass of 20 kg and it makes an angle of 60 $\degree$ with the ground,find the force of friction of the ground on the foot of the ladder.

(Multiple Choice)

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Question 58

A bowling ball has a mass of 7.0 kg,a moment of inertia of 2.8 ´ 10^-2 kg*m² and a radius of 0.10 m.If it rolls down the lane without slipping at a linear speed of 4.0 m/s,what is its angular speed?

(Multiple Choice)

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Question 59

Tasha has mass 20 kg and wants to use a 4.0-m board of mass 10 kg as a seesaw.Her friends are busy,so Tasha seesaws by herself by putting the support at the system's center of gravity when she sits on one end of the board.How far is she from the support point?

(Multiple Choice)

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Question 60

Showing 41 - 60 of 86

Exam 8: Rotational Equilibrium and Rotational Dynamics

A rotating flywheel can be used as a method to store energy.If it is required that such a device be able to store up to a maximum of 1.00 ´ 106 J when rotating at 400 rad/s,what moment of inertia is required?

According to Newton's second law,the angular acceleration experienced by an object is directly proportional to:

An object with mass m and moment of inertia I is spinning with an angular momentum L.Its kinetic energy is:

A uniform meter stick balances on a fulcrum placed at the 40 cm mark when a weight W is placed at the 30 cm mark.What is the weight of the meter stick?

A 40-kg boy is standing on the edge of a stationary 30-kg platform that is free to rotate.The boy tries to walk around the platform in a counterclockwise direction.As he does:

The Earth's gravity exerts no torque on a satellite orbiting the Earth in an elliptical orbit.Compare the motion at the point nearest the Earth (perigee)to the motion at the point farthest from the Earth (apogee).At the point closest to the Earth:

A rotating flywheel can be used as a method to store energy.If it has 1.0 ´ 106 J of kinetic energy when rotating at 400 rad/s,and if a frictional torque of 4.0 N*m acts on the system,in what interval of time would the flywheel come to rest?

Two spheres,one with the center core up to r = R/2 hollow and the other solid,have the same mass M and same outer radius R.If they are both rolling at the same linear speed,which one has the greater kinetic energy?

The total kinetic energy of a baseball thrown with a spinning motion is a function of:

The Earth's gravity exerts no torque on a satellite orbiting the Earth in an elliptical orbit.Compare the motion of the satellite at the point nearest the Earth (perigee)to the motion at the point farthest from the Earth (apogee).At these two points:

A 4.0-kg mass is placed at (3.0,4.0)m,and a 6.0-kg mass is placed at (3.0,-4.0)m.What is the moment of inertia of this system of masses about the z-axis?

A figure skater with arms initially extended starts spinning on the ice at 3 rad/s.She then pulls her arms in close to her body.Which of the following results?

The Earth moves about the Sun in an elliptical orbit.As the Earth moves closer to the Sun,which of the following best describes the Earth-Sun system's moment of inertia?

An 80-kg man is one fourth of the way up a 10-m ladder that is resting against a smooth,frictionless wall.If the ladder has a mass of 20 kg and it makes an angle of 60 °\degree° with the ground,find the force of friction of the ground on the foot of the ladder.

A bowling ball has a mass of 7.0 kg,a moment of inertia of 2.8 ´ 10-2 kg*m2 and a radius of 0.10 m.If it rolls down the lane without slipping at a linear speed of 4.0 m/s,what is its angular speed?

Tasha has mass 20 kg and wants to use a 4.0-m board of mass 10 kg as a seesaw.Her friends are busy,so Tasha seesaws by herself by putting the support at the system's center of gravity when she sits on one end of the board.How far is she from the support point?

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A rotating flywheel can be used as a method to store energy.If it is required that such a device be able to store up to a maximum of 1.00 ´ 10⁶ J when rotating at 400 rad/s,what moment of inertia is required?

A rotating flywheel can be used as a method to store energy.If it has 1.0 ´ 10⁶ J of kinetic energy when rotating at 400 rad/s,and if a frictional torque of 4.0 N*m acts on the system,in what interval of time would the flywheel come to rest?

An 80-kg man is one fourth of the way up a 10-m ladder that is resting against a smooth,frictionless wall.If the ladder has a mass of 20 kg and it makes an angle of 60 $\degree$ with the ground,find the force of friction of the ground on the foot of the ladder.

A bowling ball has a mass of 7.0 kg,a moment of inertia of 2.8 ´ 10^-2 kg*m² and a radius of 0.10 m.If it rolls down the lane without slipping at a linear speed of 4.0 m/s,what is its angular speed?