Motion of a Block with Three Forces Solution(Mastering Physics Chapter 04: Force and Motion)

Throughout the problem, use g for the magnitude of the acceleration due to gravity. In the hints, use F_f for the magnitude of the friction force between the board and the box.

Part A

Find F_min, the constant force with the least magnitude that must be applied to the board in order to pull the board out from under the the box (which will then fall off of the opposite end of the board).

Express your answer in terms of some or all of the variables μ_s, m₁, m₂, g, and L. Do not include F_f in your answer.

Solutions

Expert Solution

Part A Answer

The friction force is downwards, but the surface is frictionless- the only friction is between the box and the board. So it’s just a matter of solving using the basic formula for static friction:

F_min = μ_sg(m₁ + m₂)

Dr. OWL answered 3 years ago

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