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AP Torque and Equilibrium

Total questions: 20

Worksheet time: 45mins

Name
Class
Date
1.
A state of equilibrium is also seen below. Each of the cars weighs the same  9800 N. Despite the fact that there is only one car on the left-hand side that is 9 m from the fulcrum, the torques balance because, the car on the left-hand side, is ____meters from the fulcrum, compared to the cars on the right-hand side.
a)
4.5 m
b)
3 m
c)
1 m
d)
2 m
2.
A seesaw is unbalanced with two people of different masses sitting equal distances from the center. Which of the following will result in equilibrium?
a)
The larger person moving further away from the center.
b)
Moving the smaller person closer to the center.
c)
Moving the smaller person further from the center.
d)
Making the larger person do nothing.
3.
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
4.
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
5.
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.
6.
What force does not cause any torque?
a)
Force perpendicular to the fulcrum, and not on the fulcrum
b)
Force parallel to the fulcrum, and not on the fulcrum
c)
Force perpendicular to the fulcrum, and slightly off center of the fulcrum
d)
Forces at a 45 degree angle to the fulcrum, and not on the fulcrum
7.
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
8.
The center of mass is:
a)
the exact middle
b)
the heaviest part
c)
the point at which you can balance with one finger
d)
the idea that mass is concentrated throughout
9.

The figure above shows a uniform meterstick that is set on a fulcrum at its center. A force of magnitude F toward the bottom of the page is exerted on the meterstick at the position shown. At which of the labeled positions must an upward force of magnitude 2F be exerted on the meterstick to keep the meterstick in equilibrium?

a)

A

b)

B

c)

C

d)

D

10.
What is the center of mass?
a)
An imaginary point
b)
The average location of all of the mass in an object
c)
The balancing point of an object
d)
All of these!
11.
The torque of the right side of this broom is ---- the left side.
a)
more than
b)
less than
c)
equal to
d)
None of the above
12.
the mass of the right side is ------ compared to the left side.
a)
more
b)
less
c)
equal
d)
None of the above
13.
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
14.
What direction is the torque acting with respect to post A?
a)
clockwise
b)
Counter clockwise
c)
Neither Direction
d)
Depends on the mass of the diver
15.

"A point at which entire weight of object concentrated toward the earth".


Identify the concept explained in the statement above.

a)

Free body diagram

b)

Concurrent forces

c)

Centre of gravity

d)

Rigid body

16.
If the center of gravity of an object is above the area of support, the object will remain upright. 
a)
True
b)
False
17.
A mobile is shown in the figure. The horizontal supports have negligible mass. Assume that all the numbers given in the figure are accurate to two significant figures. What mass M is required to balance the mobile?
a)
36 g
b)
90 g
c)
18 g
d)
60 g
18.
A uniform rod weighs 40 N and is 1.0 m long. It is hinged to a wall at the left end, and held in a horizontal position at the right end by a vertical string of negligible weight, as shown in the figure. What is the magnitude of the torque due to the string about a horizontal axis that passes through the hinge and is perpendicular to the rod? The hinge is very small with negligible friction.
a)
5.0 N ∙ m
b)
20 N ∙ m
c)
10 N ∙ m
d)
40 N ∙ m
19.
To determine the location of the center of mass (or center of gravity) of a car, the car is driven over a scale on a horizontal floor. When the front wheels are over the scale, the weight recorded by the scale is 5800 N, and when the rear wheels are over the scale, the scale reads 6500 N. The distance between the front and rear wheels is measured to be 3.20 m. How far behind the front wheels is the center of mass located?
a)
1.69 m
b)
0.845 m
c)
1.72 m
d)
1.50 m
20.
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