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A block of mass 200kg is being pulled by...

A block of mass 200kg is being pulled by mean on an inclined plane at angle of `45^(@)` as shown. The coefficient of static friction of 0.5. Each man can only apply a maximum force of 500N. The number of men required for the block to just start moving up the plane is `:`

A

10

B

15

C

5

D

3

Text Solution

Verified by Experts

The correct Answer is:
C

F = mg sin `theta + mu mg cos theta = 200 xx 10 [ (1)/(sqrt2) + 0.5 xx (1)/(sqrt2))`
No. of men required = `(200 xx 10 xx (1)/(sqrt2) (1.5))/(500)`
`= 2sqrt2 xx 1.5 = 4.25`
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