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Moment of Inertia Concepts

Total questions: 15

Worksheet time: 1hrs 23mins

Name
Class
Date
1.
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
2.
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.
3.
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
4.
Torque is the product of a force exerted on an object times the lever arm.
a)
True 
b)
False
5.
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
6.
The moment of inertia:
a)
is synonymous with mass
b)
does not depend on where the mass is located
c)
resistance to a change in rotational inertia
d)
more resistance to change = less inertia
7.
When an object is experiencing a net torque
a)
it is in dynamic equilibrium.
b)
it is in static equilibrium.
c)
it is rotating.
d)
it is translating.
8.
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.
9.
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
10.

The value of torque depends on the rotation axis and the _______________________

a)

magnitude of applied force.

b)

mass of object

c)

moment inertia of object

d)

shape of object

11.

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

12.
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
13.
How do you get the maximum torque?
a)
longer lever arm and less force at an acute angle
b)
shorter lever arm and less force perpendicularly
c)
shorter lever arm and more force perpendicularly
d)
longer lever arm and more force perpendicularly
14.
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
15.

1. Which of the following must be true for the system of two concentric massless pulleys and two masses shown in the picture for the system to be at equilibrium?

a)

m1 = m2

b)

m1R1 = m2R2

c)

m1R2 = m2R1

d)

m1R12 = m2R22