Free Printable Moments and Centroid

1.

What is the centroid representing?

a)

The object's center point.

b)

The object's dimensions.

c)

The object's X and Y.

d)

The object's shape.

2.

What is the centroid of the following object?

a)

X=2 in, Y=1 in

b)

X=1 in, Y=2 in

c)

X=4 in, Y=2 in

d)

X=2 in, Y=4 in

3.

What is the centroid of the following object?

a)

X=1 in, Y=2 in

b)

X=3 in, Y=1.5 in

c)

X=2 in, Y=1 in

d)

X=1.5 in, Y=3 in

4.

What is the centroid of the following object?

a)

X=2.5 in, Y=2.5 in

b)

X=5 in, Y=5 in

c)

X=1.06 in, Y=2.5 in

d)

X=1.67 in, Y=1.67 in

5.

What is the centroid of the following object?

a)

X=0.17 in, Y=0.33 in

b)

X=0.33 in, Y=0.17 in

c)

X=0.25 in, Y=0.5 in

d)

X=0.5 in, Y=0.25 in

6.

What is the centroid of the following object?

a)

X=1.27 in, Y=3 in

b)

X=3 in, Y=1.27 in

c)

X=3 in, Y=3 in

d)

X=2.55 in, Y=3 in

7.

What is the anticlockwise moment acting on this crane?

a)

80,000Nm

b)

100,000Nm

c)

120,000Nm

d)

140,000Nm

8.

What is the moment acting on the seesaw?

a)

1.6Nm

b)

15Nm

c)

16N

d)

4Nm

9.

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.

10.

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

11.

Two masses of mass 10.0 and 6.0 kg are hung from massless strings at the end of a light rod. The rod is virtually weightless. A pivot (fulcrum) is placed off center and the system is free to rotate. If the 6.0 kg mass is 4.0 m away from the pivot, how far away is the 10.0 kg mass if the system is not rotating?

a)

0.42 m

b)

2.4 m

c)

4.8 m

d)

4.2 m

12.

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

13.

Assuming the system is in equilibrium, calculate the missing distance d

a)

3.4 m

b)

2.8 m

c)

4.4 m

d)

1.6 m

14.

A nut can be loosened more easily with

a)

a short spanner because a larger turning effect can be produced.

b)

a long spanner because a larger turning effect can be produced.

c)

a long spanner because a larger force can be produced.

d)

a short spanner because a larger force can be produced.

15.

A boy of weight 600N sits on the see-saw as shown at a distance of 1.5m from the pivot. What is the force F required at the other end to balance the see-saw?

a)

450 N

b)

350 N

c)

4.5 N

d)

200 N

16.

What to we call forces applied to anything that turns?

a)

Minute

b)

Moment

c)

Minimum

d)

Monument

17.

What is the value of the moment shown by the black arrow?

a)

30 Nm

b)

36 Nm

c)

40 Nm

d)

60 Nm

18.

The centroid in X for the figure is

a)

$\frac{b}{3}$

b)

$\frac{h}{3}$

c)

$\frac{2b}{3}$

d)

$\frac{2h}{3}$

19.

The centroid in Y for the figure is

a)

$\frac{b}{3}$

b)

$\frac{h}{3}$

c)

$\frac{2b}{3}$

d)

$\frac{2h}{3}$

20.

The centroid in Y for the figure is

a)

$\frac{b}{3}$

b)

$\frac{h}{3}$

c)

$\frac{2b}{3}$

d)

$\frac{2h}{3}$

21.

The centroid in X for the figure is

a)

$\frac{b}{3}$

b)

$\frac{h}{3}$

c)

$\frac{2b}{3}$

d)

$\frac{2h}{3}$

22.

The centroid for X for the figure shown is

a)

$\frac{d}{2}$

b)

$\frac{d}{3}$

c)

$\frac{2d}{3\pi}$

d)

$\frac{4d}{3\pi}$

23.

The centroid for Y for the figure shown is

a)

$\frac{d}{2}$

b)

$\frac{d}{3}$

c)

$\frac{2d}{3\pi}$

d)

$\frac{4d}{3\pi}$

24.

The centroid of X for the figure shown is

a)

$\frac{R}{2}$

b)

$\frac{4R}{3\pi}$

c)

$R-\frac{4R}{3\pi}$

d)

$\frac{3R}{4\pi}$

25.

The centroid of Y for the figure shown is

a)

$\frac{R}{2}$

b)

$\frac{4R}{3\pi}$

c)

$R-\frac{4R}{3\pi}$

d)

$\frac{3R}{4\pi}$

Moments and Centroid

Total questions: 25

Worksheet time: 54mins

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