Question

Please draw the forces acting on the free body diagram if necessary and answer the question clearly. Thank you.

Conservation of Angular Momentum 3.) A disk of mass M and radius R is rotating with angular speed o about an axis through the center of the disk normal to the plane of the disk. Now a small mass M/2 is gently placed on the disk a distance R/2 from the center. The mass sticks to the disk and the system rotates with a new angular speed o'. Show that w=w Exampie 12.t November 15, 2019

Answer 1

Initially moment of Inertia of elise To - I MR2 T Initial angular momentum, Li= Iow when small mass M is gently kept on large disk Momend of thextio of small mass = m (3) Total moment of hertial of system = I MR² + m² In - ŞMR? New ongular momemendim, y = In w'

by conserving momentum. La 4. I MR² = {{MR? w' (w'- vw