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Question

A man weighing W stands on a horizontal beam (hinged on a wall) of negligible weight at point C and holds a massless rope passing over two smooth pulleys. The rope is attached to point B on the beam as shown. If the system is in equilibrium, then:
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A
If W=600 N , tension in string is 400 N
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B
If W= 600 N hinge force at A is 200 N
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C
Hinge force at A is always in vertically downward direction, irrespective of value of W
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D
Hinge force at A is always in vertically upward direction, irrespective of value of W
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Solution

The correct option is C Hinge force at A is always in vertically downward direction, irrespective of value of W
The system is in equilibrium , then
Hinge force at A is always in vertically downward direction irrespective of value of W.
Hence,
Option C is correct answer.

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