A system consists of three masses $$m1$$ ,$$m2$$ and $$m3$$ connected by a string passing over a pulley P. The mass ml hangs freely and $$m2$$ and $$m3$$ are on a rough horizontal table (the$$ coefficient of fiction $$=$$ μ $$). The pulley is frictionless and of negligible mass. The downward acceleration of mass $$m1$$ is : (Assume$$ $$m1$$ $$=$$ $$m2$$ $$=$$ $$m)

Question

A system consists of three masses $$m1$$ ,$$m2$$ and $$m3$$ connected by a string passing over a pulley P. The mass ml hangs freely and $$m2$$ and $$m3$$ are on a rough horizontal table (the$$ coefficient of fiction $$=$$ μ $$). The pulley is frictionless and of negligible mass. The downward acceleration of mass $$m1$$ is : (Assume$$ $$m1$$ $$=$$ $$m2$$ $$=$$ $$m)

Infinity Learn · Accepted Answer

Acceleration $$=$$ Net force in the direction of motion  Total mass of system $$=m1g$$−μ$$m2+m3gm1+m2+m3=g3(1$$−$$2$$μ$$)$$

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