A body of M.I. 3 kg m2 rotating with an angular velocity 2 rad/s has the same K.E. as a mass of 12 kg moving with a velocity of
(a) 1 m/s (b) 2 m/s
(c) 4 m/s (d) 8 m/s

Question

A body of M.I. 3 kg m2 rotating with an angular velocity 2 rad/s has the same K.E. as a mass of 12 kg moving with a velocity of (a) 1 m/s (b) 2 m/s (c) 4 m/s (d) 8 m/s

Vikas TU · Answer

Rotation of the body = 3 kg-m² (Given) Angular velocity of the body = 3 rad/s (Given) Weight of the mass = 27kg (Given) Using the equation of motion - 1/2Iω² = 1/2mv² Therefore, 1/2.3kgm². 3²rad/s = 1/2.27kgv² = 1/2.3kgm². 9rad/s = 1/2.27kgv² Thus v² = 1

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A body of M.I. 3 kg m2 rotating with an angular velocity 2 rad/s has the same K.E. as a mass of 12 kg moving with a velocity of (a) 1 m/s (b) 2 m/s (c) 4 m/s (d) 8 m/s

A body of M.I. 3 kg m2 rotating with an angular velocity 2 rad/s has the same K.E. as a mass of 12 kg moving with a velocity of
(a) 1 m/s (b) 2 m/s
(c) 4 m/s (d) 8 m/s

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A body of M.I. 3 kg m2 rotating with an angular velocity 2 rad/s has the same K.E. as a mass of 12 kg moving with a velocity of (a) 1 m/s (b) 2 m/s (c) 4 m/s (d) 8 m/s

A body of M.I. 3 kg m2 rotating with an angular velocity 2 rad/s has the same K.E. as a mass of 12 kg moving with a velocity of (a) 1 m/s (b) 2 m/s (c) 4 m/s (d) 8 m/s

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A body of M.I. 3 kg m2 rotating with an angular velocity 2 rad/s has the same K.E. as a mass of 12 kg moving with a velocity of
(a) 1 m/s (b) 2 m/s
(c) 4 m/s (d) 8 m/s