?A block-and-tackle pulley hoist is suspended in a warehouse by ropes of lengths 2 m and

Chapter 11, Problem 35

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QUESTION:

A block-and-tackle pulley hoist is suspended in a warehouse by ropes of lengths 2 m and 3 m. The hoist weighs 350 N. The ropes, fastened at different heights, make angles of 50° and 38° with the horizontal. Find the tension in each rope and the magnitude of each tension.

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QUESTION:

A block-and-tackle pulley hoist is suspended in a warehouse by ropes of lengths 2 m and 3 m. The hoist weighs 350 N. The ropes, fastened at different heights, make angles of 50° and 38° with the horizontal. Find the tension in each rope and the magnitude of each tension.

ANSWER:

Step 1 of 4

Let the tensions in ropes of length 2m be  and in that of length m be  . We will express  

And  in terms of their horizontal and vertical components. Such that

 ….. (1)

 ….. (2)

The required diagram is shown below.

                                         

 

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