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1)

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=10m/s2)

24112021631_m4.PNG


A) θ=450

B) θ > 450 and a frictional force acts on the block towards P

C) θ> 450 and a frictional force acts on the block towards Q

D) θ < 450

Answer:

Option A,C

Explanation:

W=mg=0.1 x10=1N

9112021299_k4.PNG

 F1= component of weight

 =1.sinθ=sinθ

 F2= component of applied force

 =1.cosθ=cosθ

 now,  at θ=450 :F1=F2  and biock remains stationary without the help of friction.

 For  θ>450 ; F2>F1,  so friction will act

towards Q.

 For θ<450 , F2>F1 ,

and friction will act towards P.