Please note that middle equation should be Tr = alpha. The r was from the expres

Question

Please note that middle equation should be Tr = alpha. The r was from the expression. The figure shows two disks. A and B, together, that are rotating with angular acceleration alpha. The radius of the small disk B is 2/3 the radius of the larger disk. Calculate the ratio of the velocity of a point on the rim of disk A to the velocity of a point on the rim of disk B. If the two disks in problem 4 have an angular velocity of omega, calculate the ratio of the k of disk A to the kinetic energy of disk B. Assume that each disk has mass M.

Explanation / Answer

problem-3: rB / rA = (2/3) vA / vB = rA / rB   [ since v = r ]               = 3/2 Ans: 3:2 problem-4: Angular velocity = Moment of inertia of the disk A, I1 = M rA^2 / 2 Moment of inertia of the disk B, I2 = M rB^2 / 2 Kinetic energy, KE = (1/2) I ^2 So, EA / EB = I1 / I2                      = (rA / rB)^2                       = (3/2)^2                       = 9/4 Ans: 9:4

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