A system consists of three masses $$m1$$, $$m2$$ and $$m3$$ connected by a string passing over a pulley P. The mass m, hangs freely and $$m2$$ and $$m3are$$ on a rough horizontal table (the$$ coefficient of friction $$=$$ μ$$)The$$ pulley is frictionless and of negligible mass. The downward acceleration of mass $$m1$$ $$is(Assume$$ $$m1$$ $$=$$ $$m2$$ $$=$$ $$m3$$ $$=$$ $$m)

Question

A system consists of three masses $$m1$$, $$m2$$ and $$m3$$ connected by a string passing over a pulley P. The mass m, hangs freely and $$m2$$ and $$m3are$$ on a rough horizontal table (the$$ coefficient of friction $$=$$ μ$$)The$$ pulley is frictionless and of negligible mass. The downward acceleration of mass $$m1$$ $$is(Assume$$ $$m1$$ $$=$$ $$m2$$ $$=$$ $$m3$$ $$=$$ $$m)

Infinity Learn · Accepted Answer

a $$=$$ $$m1g-$$μ$$(m2+m3g)m1+m2+m3$$ $$=$$ m[$$g-2$$μg]$$3m$$    $$=$$ $$g3$$[$$1-2$$μ]

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