Question

Pivet Pivor Figure 1 Mech 3. orm disk of mass M and radius R is suspended vertically from a pivot on its edge so hment 0o with t to the vertical, as shown in Figure 2 above, and released from rest. The rotational inert Figure 2 A unifoarmction, as shown in Figure 1 above. The disk is raised to an initial angular displacemsia of dhe disk abo on its that it is free to swing respect of mass is l = MR2/2 Express all algebraic answers in terms of the givenquanttes its center constants, as appropriate. (a) Derive an expression for the rotational inertia of the disk about the pluot. angular displacement 8o with of the given quantities and fundamental (b) Derive an expression for the maximum angular velocity of the disk during its swing Using Newton's second law in either translational or rotational form, as appro equation that could be used to determine the angular displacement of the disk Do not solve the equation. priate, write a differential as a function of time t (c) GO ON TO THE NEXT P or reuse of rized of this page is illegal. -10-

Answer 1

CT-Cの0 ) Ivo Eningy -" (の 3 K 3p de dt 3 R