A solid cylinder of mass $$50$$ kg and radius $$0.5$$ m is free to rotate about the horizontal axis. A massless string is wound round the cylinder with one end attached to it and other hanging freely. Tension in the string required to produce an angular acceleration of $$2$$ rev $$s-2$$ is

Question

A solid cylinder of mass $$50$$ kg and radius $$0.5$$ m is free to rotate about the horizontal axis. A massless string is wound round the cylinder with one end attached to it and other hanging freely. Tension in the string required to produce an angular acceleration of $$2$$ rev $$s-2$$ is

Infinity Learn · Accepted Answer

Tr $$=$$ IαApplying torque equation about center of cylinderτ $$=$$ Iαα is the angular acceleration of cylinder and it is givenα $$=$$ $$2$$ $$revolution/s2$$ $$=$$ $$2$$×$$2$$π $$=$$ $$4$$π $$rad/s2T$$ $$=$$ Iαr $$=$$ $$mr22$$×αr $$=$$ mrα$$2$$ $$=$$ $$50$$×$$0.5$$×$$4$$$$π$$$$2N$$ $$=$$ $$157$$ N

A solid cylinder of mass 50 kg and radius 0.5 m is free to rotate about the horizontal axis. A massless string is wound round the cylinder with one end attached to it and other hanging freely. Tension in the string required to produce an angular acceleration of 2 rev $s^{- 2}$ is

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A solid cylinder of mass 50 kg and radius 0.5 m is free to rotate about the horizontal axis. A massless string is wound round the cylinder with one end attached to it and other hanging freely. Tension in the string required to produce an angular acceleration of 2 rev s-2 is

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A solid cylinder of mass 50 kg and radius 0.5 m is free to rotate about the horizontal axis. A massless string is wound round the cylinder with one end attached to it and other hanging freely. Tension in the string required to produce an angular acceleration of 2 rev $s^{- 2}$ is