A small block of mass of 0.1 kg lies on a fixed inclined plane PQ which makes an angle θ with the horizontal. 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 / s 2 )

Question

A small block of mass of 0.1 kg lies on a fixed inclined plane PQ which makes an angle θ with the horizontal. 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 / s 2 ) (A) θ=45° (B) θ>45° and a frictional force acts on the block towards P. (C) θ>45° and a frictional force acts on the block towards Q. (D) θ<45° and a frictional force acts on the block towards Q.

Tardigrade Admin · Accepted Answer

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

Q. A small block of mass of $0.1 k g$ lies on a fixed inclined plane PQ which makes an angle $θ$ with the horizontal. 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 $g = 10 m / s^{2}$ )

$θ = 4 5^{\circ}$

$θ > 4 5^{\circ}$ and a frictional force acts on the block towards $P$ .

$θ > 4 5^{\circ}$ and a frictional force acts on the block towards $Q$ .

$θ < 4 5^{\circ}$ and a frictional force acts on the block towards $Q$ .

At $θ = 4 5^{\circ}, m g sin θ = 1 \times cos θ$
At $θ > 4 5^{\circ}, m g sin θ > 1 \times cos θ$ (friction acts upward)
At $θ < 4 5^{\circ}, m g sin θ < 1 \times cos θ$ (friction acts downward)

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

θ=45∘

θ>45∘ and a frictional force acts on the block towards P.

θ>45∘ and a frictional force acts on the block towards Q.

θ<45∘ and a frictional force acts on the block towards Q.