A mass m is supported by a massless string wound around a uniform hollow cylinder of mass m and radius R. If the string does not slip on the cylinder, with what acceleration will the mass fall on rele

Question

A mass m is supported by a massless string wound around a uniform hollow cylinder of mass m and radius R. If the string does not slip on the cylinder, with what acceleration will the mass fall on release?

TestHub · Accepted Answer

mg - T = ma ----- 1 TR = Iα TR = mR 2 α ​ ∴ T = mR α ----2 For no slippping a = Rα ---3 putting (3) in (2) T = ma ---4 Adding 1 and 4 mg = 2ma ∴ a = g 2

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