Question

1) Consider a system consisting of your instructor sitting on a stool while holding weights in his hands. The stool can spin; it rotates at a rate of 26 RPM. The instructor holds masses in each hand. When his arms are fully extended, the total rotational inertia of the system is 4.5 kg · m2. He then moves his arms close to his body, reducing the total rotational inertia to 1.5 kg · m2. If there are no external torques, what is the new rotational velocity? ____ RPM

2)A thin hoop of radius 0.8 m and mass 0.4 kg is at rest initially. Then, a torque of 4 Nm is applied to make it rotate about its axis. The magnitude of its rotational acceleration will be ? _____rad/s^2

Answer 1

1) solar . Ii = 40569 me C Wiz 26 RPM offa rosto me. find The new rotational relou ty (wf) = ? since there is no external Torque aeting on the system therefore momentum of the system is conserred Li=lf » Li W; = ffuf fin we = o op > (41526 ) = 78 fup = 78 RPM solat 82008m &T=40m - maootleg . dan 7 'I=m82 = 0.47 10.82 I= 0.256 Kg me - T=txa ²a = 7 * d = 1 1.256) = (15.625 Vod/ sa

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