A large wooden turntable in the shape of a flat uniform disk has a radius of 2.4

Question

A large wooden turntable in the shape of a flat uniform disk has a radius of 2.45 m and a total mass of 110 kg. The turntable is initially rotating at 3.25 rad/s about a vertical axis through its center. Suddenly, a 74.5-kg parachutist makes a soft landing on the turntable at a point near the outer edge. (a) Find the angular speed of the turntable after the parachutist lands. (Assume that you can treat the parachutist as a particle.) 2.25 rad/s (b) Compute the kinetic energy of the system before and after the parachutist lands. KE_befor = J KE_after = J

Explanation / Answer

I1 = ½Mt*R² = 330.14 kgm²

I2 = I1+Mp*R² = 330.14 + 74.5*2.45² = 777.33 kgm²

w2 = [I1/I2]*w1 = [330.14/777.33]*3.25 = 1.380 rad/sec

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