(I) A box weighing 77.0 N rests on a table. A rope tied to the box runs vertically

Chapter 4, Problem 19P

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QUESTION:

(I) A box weighing 77.0 N rests on a table. A rope tied to the box runs vertically upward over a pulley and a weight is hung from the other end (Fig. 4–40). Determine the force that the table exerts on the box if the weight hanging on the other side of the pulley weighs (a) 30.0 N, (b) 60.0 N, and (c) 90.0 N.

Figure 4-40

Questions & Answers

QUESTION:

(I) A box weighing 77.0 N rests on a table. A rope tied to the box runs vertically upward over a pulley and a weight is hung from the other end (Fig. 4–40). Determine the force that the table exerts on the box if the weight hanging on the other side of the pulley weighs (a) 30.0 N, (b) 60.0 N, and (c) 90.0 N.

Figure 4-40

ANSWER:

Solution

Step 1 of 3

The free body diagram of the box and the weight is shown below.

                

  1. We need to determine the force that the table exerts on the box if the weight hanging on the other side of the pulley weighs .

We can write,

                        

Implies,

        

        The tension of the string is the weight of the weight.

                        

        Weight of the box,         

Now put the values,

        


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