What will happen to the torque and speed of gear B?

Increased torque, decreased speed

Increased torque, increased speed

Decreased torque, decreased speed

Decreased torque, increased speed

You are making a circular turn in your car on a horizontal road when you hit a big patch of ice, causing the force of friction between the tires and the road to become zero. While the car is on the ice, it

A) moves along a straight-line path in its original direction.

A) moves along a straight-line path away from the center of the circle.

A) moves along a straight-line path toward the center of the circle.

A) continues to follow a circular path, but with a radius larger than the original radius.

A system consists of a disk rotating on a frictionless axle and a piece of clay moving toward it, as shown in the figure above. The outside edge of the disk is moving at a linear speed v, and the clay is moving at speed v/2. The clay sticks to the outside edge of the disk. How does the angular momentum of the system after the clay sticks compare to the angular momentum of the system before the clay sticks, and what is an explanation for the comparison?

It is the same because there is no external torque acting on the system

It is greater because the rotating mass increases, which increases the rotational inertia.

It is less because the speed of the disk decreases when the clay sticks to it.

It is less because the angular momentum if the clay opposes that of the disk.

A long rod is suspended by a frictionless bearing near its top. A lump of clay is projected from the right, collides with the block and sticks to it. Which one of the following statements is correct about the clay and rod system for this collision?

The linear momentum and the angular momentum remain constant but the mechanical energy changes.

The mechanical energy, linear momentum and angular momentum remain constant.

Only the angular momentum remains constant.

None of the quantities of mechanical energy, linear momentum, or angular momentum remain constant.

Two uniform solid balls, one of radius R and mass M, the other of radius 2R and mass 8M, roll down a high incline. They start together from rest at the top of the incline. Which one will reach the bottom of the incline first?

The small sphere arrives first.

The large sphere arrives first.

Both reach the bottom at the same time.

A person sits on a freely spinning lab stool that has no friction in its axle. When this person extends her arms,

her moment of inertia increases and her angular speed decreases.

her moment of inertia decreases and her angular speed increases.

her moment of inertia increases and her angular speed increases.

her moment of inertia increases and her angular speed remains the same.

Rotational Motion

Quiz

•

Physics

•

11th Grade - University

•

Practice Problem

•

Hard

•

NGSS

HS-PS2-1, HS-ETS1-3, HS-PS3-1

+3

Standards-aligned

Charles Martinez

FREE Resource

35 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

A solid metal bar is at rest on a horizontal frictionless surface. It is free to rotate about a vertical axis at the left end. The figures show forces of different magnitudes that are exerted on the bar at different locations. In which case does the bar's angular speed about the axis increase at the fastest rate?

A

B

C

D

Two equal forces do W Joules of work on cylinder (I=¹/₂mr²) and a hoop (I=mr²) of the same radius and same mass. What is the ratio of the total kinetic energy of the cylinder to the total kinetic energy of the hoop after this work has been done?

1:1

1:2

2:1

1:4

3.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

A cylinder (I=¹/₂mr²) and a hoop (I=mr²) of the same radius and same mass are traveling at the same angular velocity (ω). What is the ratio of the angular momentum of the cylinder to the angular momentum of the hoop?

1:1

1:2

2:1

1:4

4.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

A cylinder (I=¹/₂mr²) of mass M and radius r rolls with a linear velocity v. What is its angular momentum?

Mv

Mv/r

Mrv/2

Mrv

5.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

When a rigid object rotates about a fixed axis, what is true about all the points in the object?

They all have the same tangential acceleration.

They all have the same angular speed.

They all have the same tangential speed.

They all have the same radial acceleration.

6.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

The figure shows scale drawings of four objects, each of the same mass and uniform thickness, with the mass distributed uniformly. Which one has the greatest moment of inertia when rotated about an axis through point P?

A

B

C

D

7.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Which has greater linear speed, a horse near the outside rail of a merry-go-round or a horse near the inside rail?

the inside horse

the outside horse

Neither

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Rotational Motion

35 questions

Two equal forces do W Joules of work on cylinder (I=¹/₂mr²) and a hoop (I=mr²) of the same radius and same mass. What is the ratio of the total kinetic energy of the cylinder to the total kinetic energy of the hoop after this work has been done?

A cylinder (I=¹/₂mr²) and a hoop (I=mr²) of the same radius and same mass are traveling at the same angular velocity (ω). What is the ratio of the angular momentum of the cylinder to the angular momentum of the hoop?

A cylinder (I=¹/₂mr²) of mass M and radius r rolls with a linear velocity v. What is its angular momentum?

When a rigid object rotates about a fixed axis, what is true about all the points in the object?

The figure shows scale drawings of four objects, each of the same mass and uniform thickness, with the mass distributed uniformly. Which one has the greatest moment of inertia when rotated about an axis through point P?

Which has greater linear speed, a horse near the outside rail of a merry-go-round or a horse near the inside rail?

Which has greater angular speed, a horse near the outside rail of a merry-go-round or a horse near the inside rail?

Suppose you are designing an engineless car for a downhill coasting race. What type of wheels would be the best?

As global warming occurs over the next century, the polar ice caps will start to melt ant the water will be distributed closer to the equator. How will this change the Earth's moment of inertia?

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Rotational Motion

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Two equal forces do W Joules of work on cylinder (I=1/2mr2) and a hoop (I=mr2) of the same radius and same mass. What is the ratio of the total kinetic energy of the cylinder to the total kinetic energy of the hoop after this work has been done?

A cylinder (I=1/2mr2) and a hoop (I=mr2) of the same radius and same mass are traveling at the same angular velocity (ω). What is the ratio of the angular momentum of the cylinder to the angular momentum of the hoop?

A cylinder (I=1/2mr2) of mass M and radius r rolls with a linear velocity v. What is its angular momentum?

When a rigid object rotates about a fixed axis, what is true about all the points in the object?

The figure shows scale drawings of four objects, each of the same mass and uniform thickness, with the mass distributed uniformly. Which one has the greatest moment of inertia when rotated about an axis through point P?

Which has greater linear speed, a horse near the outside rail of a merry-go-round or a horse near the inside rail?

Which has greater angular speed, a horse near the outside rail of a merry-go-round or a horse near the inside rail?

Suppose you are designing an engineless car for a downhill coasting race. What type of wheels would be the best?

As global warming occurs over the next century, the polar ice caps will start to melt ant the water will be distributed closer to the equator. How will this change the Earth's moment of inertia?

Access all questions and much more by creating a free account

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Discover more resources for Physics

Two equal forces do W Joules of work on cylinder (I=¹/₂mr²) and a hoop (I=mr²) of the same radius and same mass. What is the ratio of the total kinetic energy of the cylinder to the total kinetic energy of the hoop after this work has been done?

A cylinder (I=¹/₂mr²) and a hoop (I=mr²) of the same radius and same mass are traveling at the same angular velocity (ω). What is the ratio of the angular momentum of the cylinder to the angular momentum of the hoop?

A cylinder (I=¹/₂mr²) of mass M and radius r rolls with a linear velocity v. What is its angular momentum?