A uniform disc of mass M and radius R is mounted on an axle supported in frictionless bearings. A light cord is wrapped around the rim of the disc and a steady downward pull T is exerted on the cord. If we hang a body of mass m from the cord, the tangential acceleration of a point on rim of the disc is

Question

A uniform disc of mass M and radius R is mounted on an axle supported in frictionless bearings. A light cord is wrapped around the rim of the disc and a steady downward pull T is exerted on the cord. If we hang a body of mass m from the cord, the tangential acceleration of a point on rim of  the disc is

Infinity Learn · Accepted Answer

Tangential aceleration a $$=$$ rα $$=$$ R (2TMR) $$=$$ $$2TMT$$ $$=$$ $$Ma2Now$$ $$mg-T$$ $$=$$ ma or $$mg-Ma2$$ $$=$$ maor mg $$=$$ $$(m+M2)a$$ or a $$=$$ $$2mgM+2m$$

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