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23 Nov 2019
A massless spring (spring constant k) is attached to the periphery of a solid disk of mas M and radius R(right, top) that can rotate about its center without friction. The spring is initially unstretched. The disk is rotated by exactly 1/4 turn (right, bottom), stretching the spring, and then released. In terms of the above parameters, give expressions for the disk's (a) angular acceleration at moment of release, and (b) angular velocity when the spring returns to its unstretched length.
A massless spring (spring constant k) is attached to the periphery of a solid disk of mas M and radius R(right, top) that can rotate about its center without friction. The spring is initially unstretched. The disk is rotated by exactly 1/4 turn (right, bottom), stretching the spring, and then released. In terms of the above parameters, give expressions for the disk's (a) angular acceleration at moment of release, and (b) angular velocity when the spring returns to its unstretched length.