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Rotational Motion and Inertia Concepts

Total questions: 53

Worksheet time: 2hrs 39mins

Name
Class
Date
1.

if the same torque is applied on a hoop (I=MR2) and a solid disk (I=1/2MR2), after 5s which object will be moving faster?

a)

Hoop

b)

Solid Disk

2.

The object with more rotational inertia needs more torque to move than object with lower inertia?

a)

True

b)

False

3.

Explain why a ring is harder to spin than a solid disc (of same mass and radius)

a)

the ring has its mass further from the center (on average)

b)

the solid disc has its mass further from the center (on average)

c)

The ring has a smaller rotational inertia

d)

The ring has a larger rotational inertia

4.

Which symbol represents angular acceleration?

a)

b)

5.

What does the symbol represent?

a)

angular momentum

b)

increasing speed

c)

moment of inertia

d)

rotational momentum

6.

Which example is the only case that has all its mass the same distance from its axis?

a)

a solid sphere

b)

a disc

c)

a hoop

d)

an ellipse

7.
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)
A
b)
B
c)
C
d)
D
8.
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?
a)
cylinder
b)
pipe
c)
sphere
d)
They all reach the bottom at the same time.
9.
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?
a)
The small sphere arrives first.
b)
The large sphere arrives first.
c)
Both reach the bottom at the same time.
10.
Which has greater angular speed, a horse near the outside rail of a merry-go-round or a horse near the inside rail?
a)
The inside horse
b)
The outside horse
c)
Neither - they both have the same angular speed
11.

Calculate the torque produced by 75N perpendicular force at the end of a 0.20 m long wrench.

a)

15 Nm

b)

1.5 Nm

c)

150 Nm

d)

16 Nm

12.
What is the distance the masses on the right of the fulcrum need to be to balance with the two masses on the left?
a)
.65 m
b)
.56 m
c)
.79 m
d)
.39 m
13.

The object with more rotational inertia needs more torque to move than object with lower inertia?

a)

True

b)

False

14.

Multiplying any angular measurement by the radius will change the measurement to:

a)

torque

b)

tangential

c)

projectile

d)

inertia

15.
In the diagram above, two masses, one with mass m, the other with mass M = 2m are resting on a uniform plank of length L that pivots at its midpoint. If the mass m is at the far end of the plank, how far away from the pivot should the mass M be to balance the plank in a horizontal position shown?
a)
L/2
b)
L/3
c)
L/4
d)
L/6
16.
A 15-kg child is sitting on a playground teeter-totter, 1.5 m from the pivot. What is the magnitude of the minimum force, applied 0.30 m on the other side of the pivot, that is needed to make the child lift off the ground?
a)
66 N
b)
740 N
c)
23 N
d)
44 N
17.
A person sits on a freely spinning lab stool that has no friction in its axle. When this person extends her arms,
a)
her moment of inertia increases and her angular speed decreases.
b)
her moment of inertia decreases and her angular speed increases.
c)
her moment of inertia increases and her angular speed increases.
d)
her moment of inertia increases and her angular speed remains the same.
18.
Which will produce more torque to loosen the lug nut?
a)

A

b)

B

c)

They are the same

19.
To provide a torque, an applied force must have a component:
a)
parallel to the lever arm
b)
perpendicular to the lever arm
c)
perpendicular to the pivot point
d)
none of the above
20.
Which has greater linear speed, a horse near the outside rail of a merry-go-round or a horse near the inside rail?
a)
the inside horse
b)
the outside horse
c)
Neither
21.

Objects that have most of their mass near their axis of radiation have a ______ affect on the torque

a)

small rotational inertia

b)

large rotational inertia

c)

inertia only affects the linear force not the Torque

22.
What is the Unit for Torque
a)
Nm
b)
N
c)
W
d)
J
23.
The easiest way to open a heavy door  is by applying the force
a)
Near the hinges
b)
In the middle of the door
c)
At the edge of the door far from the hinges
d)
At the top of the door
24.
What does the rotational inertia describe? 
a)
The average position of mass in an extended object.
b)
How the mass of an object is distributed 
c)
How a force can rotate an object.
d)
The tendency of an object to move in a straight line.
25.

What is in place of force for Newton's second law when rotation is involved?

a)

momentum

b)

inertia

c)

angular velocity

d)

torque

26.

What does the slope of a ω\omega  vs t graph represent?

a)

The angular acceleration ( α\alpha  )

b)

The angular velocity ( ω\omega  )

c)

The angular displacement ( Δθ\Delta\theta  )

d)

The torque ( τ\tau  )

27.

What does the area of a ω\omega  vs t graph represent?

a)

The angular acceleration ( α\alpha  )

b)

The angular velocity ( ω\omega  )

c)

The angular displacement ( Δθ\Delta\theta  )

d)

The torque ( τ\tau  )

28.

Stars originate as large bodies of slowly rotating gas.  Because of gravity, these clumps of gas slowly decrease in size.  What happens to the angular speed of the star as it shrinks?

a)
It rotates faster.
b)
It rotates slower.
c)
It starts to accelerate in the forward direction.
d)
The rotation rate stays the same.
29.

What happens to Chaz Michael Michael's rotational inertia when he brings in his arms?

a)

Increase his rotational inertia

b)

Decrease his rotational inertia

c)

has no affect

30.
Does a bridge anchored resting on two pillars have any torque?
a)
No, it isn't moving
b)
Yes, but it is at equilibrium
c)
Yes, but it will soon break because of the torque
d)
No, Bridges can't have torque
31.

Objects A, B, and C all have the same mass, all have the same outer dimension, and are all uniform. Rank these objects in order of their moment of inertia about an axis through its center (shown in blue), from largest to smallest.

a)

BCA

b)

ABC

c)

CAB

d)

BAC

32.
The rotational equivalent to d (distance), v (velocity) and a (acceleration) are?
a)
m, m/s, m/s2
b)
θ, ω, α
c)
x, x/t, alphaα
d)
μ, Σ, τ
33.
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)
A
b)
B
c)
C
d)
D
34.
In order to do a lot of flips an Olympic diver would want:
a)
A high rotational inertia
b)
A low rotational inertia
c)
A low linear acceleration
d)
A low angular velocity
35.
Suppose you are designing an engineless car for a downhill coasting race.  What type of wheels would be the best?
a)
Solid disks.
b)
Hoops.
c)
Hollow cylinders.
d)
Diamond encrusted triangles.
36.
An object completes 1.5 circular orbits in half a minute. What is its approximate angular velocity?
a)
0.05 rad/s
b)
0.30 rad/s
c)
0.5 rad/s
d)
3 rad/s
37.
An object completes 1.5 circular orbits in half a minute. It orbits with a radius of 2 m. What is the object's tangential speed?
a)
0.15 m/s
b)
0.60 m/s
c)
1.6 m/s
d)
6 m/s
38.

Which of the following is NOT a unit of rotational speed?

a)

Meters per second

b)

Revolutions per minute

c)

Revolutions per second

d)

Rotations per second

39.
A tin can whirled on the end of a string moves in a circle because 
a)
the can continually pulls on the string.
b)
once the can starts moving, that is its natural tendency.
c)
there is a force on the can pulling it outward.
d)
there is an inward force acting on the can.
40.
Where is the center of gravity of a softball bat located?
a)
Exactly halfway along the bat
b)
In the thin handle
c)
In the more massive end of the bat
41.
A bug on a turning phonograph record will make more turns per minute if it is located toward the center of the record.
a)
True
b)
False
42.

A possible unit for angular acceleration is:

a)

rad/s2

b)

rad/s

c)

N*m

d)

Kg*m2

43.
In order for a seesaw to be in rotational equilibrium, the sum of the torques acting on it need not be balanced if one person sits closer to the fulcrum than the other person.
a)
True
b)
False
44.

When evaluating the rotational inertia of a uniform long, thin, solid rod, which type of DENSITY do you need to consider?

a)

Volume Density (M/V)

b)

Surface Area Density

c)

Linear Density (M/L)

45.

When the axis of rotation for a long, thin rod is shifted AWAY from its center of mass (indicated by "dm"), the rotational inertia increases because...

a)

more mass is farther from the axis of rotation

b)

more mass is closer to the axis of rotation

c)

the torque on the rod decreased when the lever arm increased

d)

the potential energy of the rod decreased

46.

You are asked to calculate the rotational inertia (aka, "moment of inertia") of a rotating system (a rod with equal masses on each end) when its axis of rotation is shifted from the center to one end of the rod. All other components remain the same. Which concept might make this calculation easier?

a)

Parallel Axis Theorem

b)

Relationship between linear and tangential variables is "r"

c)

Rotational inertia depends on mass and mass distribution

d)

Solid objects have less rotational inertia than hollow objects with the same mass

47.

What does Icm stand for?

a)

Rotational inertia about the center of mass

b)

Rotational inertia measured in centimeters

c)

Rotational inertia when an object is a long thin rod

d)

Rotational inertia when an object is a hollow sphere

48.
Centripetal acceleration always points
a)
in the direction of the object's motion
b)
in the opposite direction of the object's motion
c)
towards the center of the circle
d)
towards the outside of the circle
49.

Which of the following are equations for angular momentum?

a)

L=Iω

b)

L=mvr

c)

L=mr2

d)

L=mv2

50.

When an ice skater brings their arms in, they get ________ due to conservation of _______ and ________ rotational inertia.

a)

faster...Kinetic Energy...increase in

b)

faster....angular momentum...decrease in

c)

slower...Kinetic Energy...increase in

d)

slower...angular momentum...decrease in

51.
a)

A

b)

B

c)

C

d)

D

52.
a)

A

b)

B

c)

C

d)

D

53.
a)

A

b)

B

c)

C

d)

D

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