Question

A large wooden turntable in the shape of a flat uniform disk has a radius of 2.00 in and a total mass of 1.40 x 102 kg. The turntable is initially rotating at 3.10 rad/s about a vertical axis through its center. Suddenly, a 70.0 kg parachutist makes a soft landing on the turntable at a point near the outer edge. Part A Find the angular speed of the turntable after the parachutist lands. (Assume that you can treat the parachutist as a particle.) Express your answer in radians per second. 10 AED ? rad/s Submit Request Answer Part B Compute the kinetic energy of the system before the parachutist lands. Express your answer with the appropriate units. TEMA ? K = Value Units

Answer 1

Mass of para chutist M= 70kg Mass Disc to m= 1.40000 kg W, 3.10 rad) see Radius 21oom (A) To find Wf=? from conservation momentum of If I Disk = 1 mR? Li .Lf I Wp + Iz W f = (I, + I) Wf I 2 = MR² = 7684 = 280 3 kqm? I, Wi I wi Wf to = = (IIHI) Wf » Wf= (11t12) x 1.4x1024x 3.1 01.55 rad/sec [ 5 x1.4 X 1024+ 280] wf = 0.55 rad/sec ne Wf = 1.55 rad/see B) Now Kinetic Energy, when Parachutist didn't londed, Ik 8) = 1.5, 0.74 Lax me*]* 3.431 (KF); = 1.4x102x 4x 3.173.1 4 13.4548102 Joule o After parachutis come, (38) = (1,41,760p = (280+226] x W? ICK EDF 672.7 Joule Thus, (CE)