Question

A uniform solid disc of radius 1m and mass 3kg is subjected simultaneously to three external forces. Take the center of the disc as the origin of the x-y coordinate system. The first force ~ F1 = 3ˆy N is applied at ~r1 = −1ˆy m. The second force ~ F2 = 2(ˆ y−ˆ x),N is applied at ~r2 = 1ˆxm. The third force ~ F3 = −4ˆy N is applied at ~r3 = −1ˆxm. The moment of inertia of a disc is given by 0 .5Mr^2 Find (a) the torque on the disc resulting from each force, (b) the net external torque, and (c) the angular velocity of the disc after 4 seconds.

Answer 1