Question

Each ball has a negligible size and a mass of 14.5 kg and is attached to the end of a rod whose mass may be neglected. The rod is subjected to a torque Part A M (t2 2) N.m, where t is in seconds. Each bal has a speed v 2 m/s when t 0. (Figure 1) Determine the speed of each ball when t-3 s Express your answer to three significant figures and include the appropriate units. LA Figure 1of 1 U= 16.14 M-2) N 0 Submit Previous Answers Request Answer X Incorrect; Try Again 0.5 mi Provide Feedback

Answer 1

Angular momentum for 3 sec

$= L_{ t=0} + \int_{0}^{3} (t^2+2) dt$

= 14.5*2 + 15 =44 kg *m/s

moment of inertia = 2*m*l^2 = 2*14.5 *0.5^2 = 7.25 kg*m^2

omega = L/I

= 44/7.25 =  6.06896552 rad/s

the speed pf each ball = 6.06896552*0.5 =3.03448276 m/s answer

let me know in a comment if there is any problem or doubts