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In Fig. 12-30, trying to get his car out of mud, a man

Chapter , Problem 12

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QUESTION:

In Fig. 12-30, trying to get his car out of mud, a man ties one end of a rope around the front bumper and the other end tightly around a utility pole 18 m away. He then pushes sideways on the rope at its midpoint with a force of 550 N, displacing the center of the rope 0.30 m, but the car barely moves.What is the magnitude of the force on the car from the rope? (The rope stretches somewhat.)

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QUESTION:

In Fig. 12-30, trying to get his car out of mud, a man ties one end of a rope around the front bumper and the other end tightly around a utility pole 18 m away. He then pushes sideways on the rope at its midpoint with a force of 550 N, displacing the center of the rope 0.30 m, but the car barely moves.What is the magnitude of the force on the car from the rope? (The rope stretches somewhat.)

ANSWER:

Step 1 of 2

The length of each half of the rope is

 

The angle of each half of the rope measured from the dashed line is;

 

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