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A minimum force F is applied to a block ...

A minimum force F is applied to a block of mass 102 kg to prevent it from sliding on a plane with an inclination angle `30^(@)` with the horizontal. If the coefficients of static and kinetic friction between the block and the plane are 0.4 and 0.3 respectively, then the force F is

A

157 N

B

224 N

C

315 N

D

zero

Text Solution

Verified by Experts

The correct Answer is:
A
(a) `mg sin theta=(102)(10) sin 30^(@)=510N`
`mu , mg cos theta =(0.4)(102)(10) cos 30^(@)`
=353 N
`F=510-353=157N`
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