A solid cylinder of mass $$50$$ kg and radius $$0$$ $$.5$$ m is free to rotate about its axis which is horizontal. A string is wound around the cylinder with one end attached to it and other hanging freely as shown in fig. (O). Thetension in the string required to produce an angular acceleration of $$2$$ $$rev/s2$$ in the cylinder is

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Infinity Learn · Accepted Answer

Here, torque τ$$=TR$$  or  Iα$$=TR$$∴ $$12MR2$$α$$=TR$$  or  $$T=12MR$$αSubstituting the given values, we $$getT=12(50)(0$$⋅$$5)(4$$π$$)=50$$×$$3$$⋅$$14=157N$$

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