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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 figure does not move?

A

(a)20 N

B

(b)10 N

C

(c)12 N along OE

D

(d)15 N

Text Solution

Verified by Experts

The correct Answer is:
a
The forces acting on the block are shown. Since the block is not moving forward for the maximum force F applied
`f cos 60^(@)=f=muN`
and `F sin 60^(f@) + mg =N`
form (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=20 N`
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