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What is the maximum value of the force F...

What is the maximum value of the force F such that the block shown in the arrangement, does not move?

A

`20 N`

B

`10 N`

C

`12 N`

D

`15 N`

Text Solution

Verified by Experts

The correct Answer is:
a
The force acting on the block are shown .Since the block is not moving forward for the maximum force F applied

` F cos 60^(@) = f= mu N`…(i)
`and F sin 60^(@) + mg = N `….(ii)
From (i) and(ii) `F =cos 60^(@) = mu[F sin 60^(@) + mg]`

`rArr F = (mu mg)/(cos 60^(@) - mu sin 60^(@)) = ((1)/(2sqrt(3))xxsqrt(3)xx10)/((1)/(2)- (1)/(2sqrt(3))xx(sqrt(3))/(2))= (5)/((1)/(4))= 20N`
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