As shown in figure, smaller block m and larger block M move together under the influence of a horizontal force P. The larger block M moves on a frictionless horizontal surface. If coefficient of static friction between the blocks M and m is 0.5. Find minimum value of P. For which the smaller block will not move relative to the larger block.
Given m=1 kg, m=5 kg and $g = 10 m / s^{2}$

Question

As shown in figure, smaller block m and larger block M move together under the influence of a horizontal force P. The larger block M moves on a frictionless horizontal surface. If coefficient of static friction between the blocks M and m is 0.5. Find minimum value of P. For which the smaller block will not move relative to the larger block.

Given m=1 kg, m=5 kg and $g = 10 m / s^{2}$

Infinity Learn · Accepted Answer

For Pmin, accelaration   $$a=Pmin(5+1)=Pmin6m/s2Now$$ $$fmax=$$μ$$N=mg$$⇒ N $$=$$ $$1$$×$$100.5$$ $$=$$ $$20N$$ N $$=$$ ma $$=$$ $$20$$  ⇒ $$20$$ $$=$$ $$1$$×$$Pmin6$$ ⇒ Pmin $$=$$ $$120N$$

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