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CG, Torque & Rotational inertia

Total questions: 26

Worksheet time: 1hrs 3mins

Name
Class
Date
1.

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

a)

15 Nm

b)

1.5 Nm

c)

15.0 Nm

d)

16 Nm

2.

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

a)

torque

b)

tangential

c)

projectile

d)

inertia

3.
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
4.
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.
5.
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
6.

What direction is the torque acting with respect to post A?

a)

clockwise

b)

Counter clockwise

c)

It's in equilibrium

d)

It's parallel so there is no torque

7.
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
8.
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
9.
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.
10.
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
11.
Will the torque be increased by using the rope?
a)
A - Yes
b)
B - No
12.
Which will produce more torque to loosen the lug nut?
a)

A

b)

B

c)

They are the same

13.
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
14.
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
15.

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

16.
What is the Unit for Torque
a)
Nm
b)
N
c)
W
d)
J
17.
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
18.
A wrench is used to tighten a nut. A 15N perpendicular force is applied 50cm away from the axis of rotation, and moves a distance of 10 cm as it turns. What is the torque applied to the wrench?
a)
7.5 Nm
b)
1.5 Nm
c)
750 Nm
d)
150 Nm
19.

Why is the car on the right more stable?

a)

Its center of mass is higher

b)

it has a wider base

c)

it has more height

d)

all of the above

20.

The center of gravity of the bolt in the picture is in the center of the bolt at the level of the arrow. As it sits on the desk, it is in a(n) ___________________________ position with respect to its center of gravity.

a)

neutral

b)

stable

c)

unstable

d)

irreversible

21.

The center of gravity of the bolt in the picture is in the center of the bolt at the level of the arrow. As it sits on the desk, it is in a(n) ___________________________ position with respect to its center of gravity.

a)

neutral

b)

stable

c)

unstable

d)

irreversible

22.

Center of gravity is usually located where

a)

more weight is concentrated

b)

less weight is concentrated

c)

less mass is concentrated

d)

more mass is concentrated

23.

Where is the centre of gravity of a ball?

a)

On the outside edge of the ball

b)

A point not touching the ball

c)

The centre of the ball

d)

On the top of the ball

24.

A block with center of mass X touches the ground at point P. In which diagram will the block topple?

a)
b)
c)
d)
25.
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
26.

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.)

a)

Jacques has a greater angular speed than Ahmed.

b)

Jacques and Ahmed have the same angular speed.

c)

Jacques has a smaller angular speed than Ahmed.

d)

Ahmed has a greater tangential speed than Jacques.

e)

Jacques and Ahmed have the same tangential speed.

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