( 20 Problem 3: A yoyo is constructed by attaching three uniform, solid disks %)
ID: 2037076 • Letter: #
Question
( 20 Problem 3: A yoyo is constructed by attaching three uniform, solid disks %) along their central axes as shown. The two outer disks are identical, each with mass M-22 g. radius R - 2.1 cm, and moment of inertia 1/2MR2. The central, smaller disk has mass M/2 and radius R/2. A light, flexible string of negligible mass is wrapped counterclockwise around the central disk of the yoyo. The yoyo is then R placed on a horizontal tabletop and the string is gently pulled with a constant force F -6 N. The tension in the string is not sufficient to cause the yoyo to leave the tabletop. In this problem consider the two cases show. In Case 1 the string is pulled straight up, perpendicular to the tabletop. In Case 2 the string is pulled horizontally parallel to the tabletop. In both cases the yoyo rolls without slipping. Ctheexpertta.com w ? 25% Part (a) what is the moment of inertia ICM about the central axis (ie. the axis perpendicular to the circular face) of the yoyo. In kg-m2 ? 25% Part (b) In both cases shown, what is the magnitude of the torque r exerted by the string about the contact point of the yo table, in N m? the 25% Part (c) What is the moment ofinertia of the yo-yo about the contact point win the table, in kg-m2? 25% Part (d) what is the magnitude of the linear acceleration ofthe center ofmass of the yoyo the moment the string becomes taut,in m/s- Grade Summary Deductions Potentia 10% 90% ???Explanation / Answer
d) The magnitude of linear accleration is
acm = (torque * R) / Icm
you are calculate Torque and Icm.
Enter that value in Formula and solve
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