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Writer's picturekeshprad

Barron's 2nd Edition DT Q22


22) For this question, we need to use process of elimination to find the statement that is true above the situation represented above. Let's start with a free body diagram to help us understand the given situation.

where m is mass, N is normal force, f is frictional force, W is weight, and F is applied force

To make it simpler for us to solve the problem, we can break the applied force(F) into its x and y-components.

where m is mass, N is normal force, f is frictional force, W is weight, and F is applied force
 

Choice A & B: Both weight(W) and normal force(N) act in the vertical plane. To help us, we should look at the sum of the vertical forces.

Where N is normal force, F is applied force, and W is weight

The weight is equal to the sum of the normal force and the applied force, this tells us that the weight is greater than the normal force, thus eliminating choice A and B.


Choice C & D & E: Both the applied force and the frictional force have components that act in the horizontal plane. We can look at the sum of the horizontal forces to help us qualify the answer choices.

Where F is applied force and f is frictional force

This tries to trick you. The frictional force is not equal to the applied force. Rather, the frictional force is equal to the x-component of the applied force, which means the magnitude of the applied force must be greater than the frictional force. This means the answer will be D, which says the frictional force is lower in magnitude than the applied force.

 

Answer: D

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