FrictionHard

Question

A small block of mass of 0.1 kg lies on a fixed inclined plane PQ which makes an angle θ with thehorizontal. A horizontal force of 1 N acts on the block through its centre of mass as shown in the figure.The block remains stationary if (take g = 10 m/s2)
               

Options

A.θ = 45o
B.θ > 45o and a frictional force acts on the block towards P.
C.θ > 45o and a frictional force acts on the block towards Q.
D.θ < 45o and a frictional force acts on the block towards Q.

Solution

At θ = 45o, mg sin θ = 1 × cos θ
At θ > 45o, mg sin θ > 1 × cos θ (friction acts upward)
At θ < 45o, mg sin θ < 1 × cos θ(friction acts downward)

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