Question

The minimum force required to move a body up an inclined plane is three times the minimum force required to prevent it from sliding down the plane. If
coefficient of friction between the body and inclined plane the angle of inclined plane is
​

Answer 1

Answer:

To hold body stationary, force required: F

1

=mgsinθ−μmgcosθ

The force required to body move up is given by, F

2

=mg(sinθ+μcosθ)

F

2

=3×F

1

⇒θ=30

o

⇒mg(sinθ+μcosθ)=3mg(sinθ−μcosθ)

⇒2mgsinθ=4mgμcosθ

⇒tanθ=2μ=

3

1

⇒θ=30

0