Consider the four free body diagrams. Free-body diagrams are diagrams used to show the relative magnitude and direction of all forces acting upon an object in a given situation. Do any of the free body diagrams indicate motion? If yes, which one(s). Explain.

A

No. In each case, the forces are balanced.

B

Yes. In B the book is slowing down because of the friction force opposing motion.

C

You cannot tell if there is any motion. You can only determine how much force is acting on the objects.

D

Yes. In B and D. In both cases, there is a net force.

In B, there is a net force to the left; in D there is a net force upward.

If you look closely at each of the four diagrams you would be able to conclude that

D)
Yes. In B and D. In both cases, there is a net force.
In B, there is a net force to the left; in D there is a net force upward.

In A and C, the forces are in equilibrium both in the horizontal and vertical direction.

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fichoh fichoh · Answer 2 · 2021-10-23T03:38:55-04:00

When the net force acting on a body is not equal to zero, then the body will be in a state of motion in the direction of the greater magnitude of force. Hence, diagrams B and D indicate motion. Hence, option D is correct.

Calculating the net force in each scenario :

Diagram A :

Fgrav - Fnorm = 3 - 3 = 0

Ffric - Fapp = 5 - 5 = 0

Net force = 0 (No motion)

Diagram B :

Fgrav - Fnorm = 3 - 3 = 0

Ffric - Fapp = 5 - 0 = 5

Net force = 5N (in the direction of the frictional force)

Diagram C:

Fgrav - Fnorm = 20 - 20 = 0

Ffric - Fapp = 0

Net force = 0 (No motion)

Diagram D:

Fair - Fgrav = 40 - 25 = 15N

Ffric - Fapp = 0

Net force = 15 N (in the upward direction)

Therefore, the diagrams B and D exhibits motion.

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