WorksheetsPhysics | Chapter 8, Rotational Motion
Total questions: 29
Worksheet time: 16mins
When a rigid object rotates about a fixed axis, what is true about all the points in the object? (There could be more than one correct choice)
They all have the same angular speed.
They all have the same tangential speed.
They all have the same angular acceleration.
They all have the same tangential acceleration.
They all have the same radial acceleration.
Two children, Ahmed and Jacques, ride on a merry-go-round. Ahmed is at a greater distance from the axis of rotation than Jacques. Which of the following are true statements? (There could be more than one correct choice)
Jacques has a greater angular speed than Ahmed.
Jacques and Ahmed have the same angular speed.
Jacques has a smaller angular speed than Ahmed.
Jacques has a greater tangential speed than Jacques.
Jacques and Ahmed have the same tangential speed.
A car is traveling along a freeway at 65 mph. What is the linear speed, relative to the highway, of each of the following points on one of it's tires?
The highest point on the tire
The lowest point on the tire
The center of the tire
130, 0, 65
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 perpendicular to the plane of the drawing at point P?
A
B
C
D
Consider a uniform hoop of radius R and mass M rolling without slipping. Which is larger, its translational kinetic energy or its rotational kinetic energy?
Translational kinetic energy is larger
Rotational kinetic energy is larger
Both are equal
You need to know the speed of the hoop to tell
Consider a solid uniform sphere of a radius R and Mass M rolling without slipping. Which form of its kinetic energy is, translational or rotational
Translational kinetic energy is larger
Rotational kinetic energy is larger
Both are equal
You need to know the speed of the sphere to tell
A solid sphere and a solid cylinder, both uniform and of the same mass and radius, roll without slipping at the same forward speed. It is correct to say that the total kinetic energy of the solid sphere is...
more than the total kinetic energy of the cylinder
less than the total kinetic energy of the cylinder
equal to the total kinetic energy of the cylinder
A disk and a hoop of the same mass and radius are released at the same time at the top of an inclined plane. If both are uniform, which one reaches the bottom of the incline first if there is no slipping
The hoop
The disk
Both reach the bottom at the same time
Justin's Godly shaped ass
A solid sphere, solid cylinder, and a hollow pipe all have equal masses and radii. If the three of them are released simultaneously at the top of an inclined plane and do not slip, which one will reach the bottom first?
Sphere
Pipe
Cylinder
The pipe and cylinder arrive together before the sphere
They all reach the bottom at the same time
A disk, a hoop, and a solid sphere are released at the same time at the top of an inclined plane. They are all uniform and roll without slipping. In what order do they reach the bottom?
Disk, hoop, sphere
Hoop, sphere, disk
Sphere, disk, hoop
Sphere, hoop, disk
hoop, disk, sphere
A small uniform disk and a small uniform sphere are released simultaneously at the top of a high inclined plane, and they roll down without slipping. Which one will reach the bottom first?
The one of smallest diameter
The one of greatest mass
the disk
the sphere
they will reach the bottom at the same time
suppose a uniform solid sphere of mass M and radius R rolls without slipping down an inclined plane starting from rest. The linear velocity of the sphere at the bottom of the incline depends on
the mass of the sphere
the radius of the sphere
both the mass and radius of the sphere
neither the mass nor the radius of the sphere
Suppose a solid uniform sphere of mass M and radius R rolls without slipping down an inclined plane starting from rest. The angular velocity of the sphere at the bottom of the incline depends on
the mass of the sphere
the radius of the sphere
both the mass and radius of the sphere
neither the mass nor the radius of the sphere
A uniform ball is released from rest on a no-slip surface, as shown in the figure. After reaching its lowest point, the ball begins to rise again, this time on a frictionless surface. When the ball reaches its maximum height on the frictionless surface, it is
Higher than when it was released
lower than when it was released
at the same height from which it was released
it is impossible to tell without knowing the mass of the ball
it is impossible to tell without knowing the radius of the ball
Two uniform solid balls, one 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
Both reach the bottom at the same time
The large sphere arrives first
Two forces produce equal torques on a door about the door hinge. The first force is applied at the midpoint of the door; the second force is applied at doorknob. Both forces are applied perpendicular to the door. Which force has a greater magnitude?
The first force (at the midpoint)
the second force (at the doorknob)
the two forces are equal
Two equal-magnitude forces are applied to a door at the doorknob. The first force is applied perpendicular to the door, and the second force is applied at 30° to the plane of the door. Which force exerts the greater torque about the door hinge?
The first force (applied perpendicular to the door)
The second force (applied at an angle)
both forces exert equal non-zero toques
Both forces exert zero torque
As shown in the figure, a given force is applied to a rod in several different ways. In which case is the torque about the pivot P due to this force the greatest?
1
2
3
4
5
Five forces act on a rod that is free to pivot at point P, as shown in the figure. Which of these forces is producing a counter-clockwise torque about point P? (There could be more than one correct choice.)
force A
force B
force C
force D
force E
The rotating systems shown in the figure differ only in that the two identical movable masses are positioned a distance r from the axis of rotations (left), or a distance r.2 from the axis of rotation (right). If you release the hanging blocks simultaneously from rest...
the block at the left lands first
the block at the right lands first
both blocks land 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 decreases and her angular speed increases
her moment of inertia decreases and her angular speed decreases
her moment of inertia increases and her angular speed increases
her moment of inertia increases and her angular speed decreases
her moment of inertia increases and her angular speed remains the same
A merry-go-round spins freely when Diego moves quickly to the center along a radius of the merry-go-round. As he does this, it is true to say that
the moment of inertia of the system decreases and the angular speed increases
the moment of inertia of the system decreases and the angular speed decreases
the moment of inertia of the system decreases and the angular speed remains the same
the moment of inertia of the system increases and the angular speed increases
the moment of inertia of the system increases and the angular speed decreases
If the answer to your calculation has units of kg x m^2/s, what type of quantity could it be? (There could be more than one correct choice)
Force
Work
Angular momentum
Liner momentum
Power
If the answer to your calculation has units of kg x m^2/s^2, what type of quantity could it be? (there could be more than one choice)
Force
Work
Power
Torque
Rotational kinetic energy
A ballet dancer is spinning in the middle of a horizontal frictionless stage. Which of the following things could he change by moving parts of his body or his whole body? What is not the answer? (choose the wrong one)
His total kinetic energy
The horizontal component of his linear momentum
his translational kinetic energy
his angular momentum
his moment of inertia
A spinning ice skater on extremely smooth ice is able to control the rate at which she rotates by pulling in her arms. Which of the following statements are true about the skater during this process?
Her angular momentum remains constant
Her moment of inertia remains constant
Her kinetic energy remains constant
She is subject to a constant non-zero torque
When is the angular momentum of a system constant
Only when its total kinetic energy is constant
Only when no net external force acts on the system
Only when the linear momentum and the energy are constant
Only when no net external torque acts on the system
Only when the moment of inertia is constant
As you are leaving a building, the door opens outward. If the hinges on the door are on your right, what is the direction of angular velocity of the door as you open it?
up
down
to your left
to your right
forwards
When you ride a bicycle, in what direction is the angular velocity of the wheels?
To your left
To your right
Forwards
Backwards
Up
