The two trees in Fig. 9–58 are 7.6 m apart. A back-packer is trying to lift his pack out

Chapter 9, Problem 24P

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QUESTION:

The two trees in Fig. 9–58 are 7.6 m apart. A back-packer is trying to lift his pack out of the reach of bears. Calculate the magnitude of the force  that he must exert downward to hold a 19-kg backpack so that the rope sags at its midpoint by (a) 1.5 m, (b) 0.15 m.

                

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QUESTION:

The two trees in Fig. 9–58 are 7.6 m apart. A back-packer is trying to lift his pack out of the reach of bears. Calculate the magnitude of the force  that he must exert downward to hold a 19-kg backpack so that the rope sags at its midpoint by (a) 1.5 m, (b) 0.15 m.

                

ANSWER:

Solution 24P

Step 1 of 2

Part a

We are required to calculate the magnitude of force  when the rope sags by 1.5 m.

Let us have a look at the following figure.

The weight of the pack N

N

From the figure, 

And,

N

N

Therefore, the required force is N.

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