The drawing shows box 1 resting on a table, with box 2 resting on top of box 1.

Question

The drawing shows box 1 resting on a table, with box 2 resting on top of box 1. A massless rope passes over a massless, frictionless pulley. One end of the rope is connected to box 2, and the other end is connected to box 3. The weights of the three boxes are W_1 = 49.5 N, W_2 = 33.3 N, and W_3 = 25.4 N. Determine the magnitude of the normal force that the table exerts on box 1. A car is towing a boat on a trailer. The driver starts from rest and accelerates to a velocity of +17 m/s in a time of 25 s. The combined mass of the boat and trailer is 369 kg. The frictional force acting on the trailer can be ignored. What is the tension in the hitch that connects the trailer to the car?

Explanation / Answer

F = 0

at freebody of mass 3

F = 0

T - W3 = 0

T - 25.4 = 0

T = 25.4 Newtons


at freebody of mass 2

F = 0

T + N - W2 = 0

25. 4 + N - 33.3 = 0

N = 7.9 Newtons


at freebody of mass 1

F = 0

N' - N - W1 = 0

N' - 7.9 - 49.5 = 0

N' = 57.4 N

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