Two metal disks, one with radius R 1 = 2.48 cm and mass M 1 = 0.820 kg and the o

Question

Two metal disks, one with radius R1 = 2.48 cm and mass M1 = 0.820 kg and the other with radius R2 = 4.96 cm and mass M2 = 1.64 kg , are welded together and mounted on a frictionless axis through their common center. (Figure 1) .

Part A

What is the total moment of inertia of the two disks?

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Part B

A light string is wrapped around the edge of the smaller disk, and a 1.50-kg block, suspended from the free end of the string. If the block is released from rest at a distance of 1.96 m above the floor, what is its speed just before it strikes the floor?

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Part C

Repeat the calculation of part B, this time with the string wrapped around the edge of the larger disk.

Explanation / Answer

I = I1 + I2

I = 1/2 [ M1R1^2 + M2R^2]

I = 2.27 x 10^-3 kg.m^2

part b )

energy ramin constant

v = sqrt(2gh/(1+(I/mR1^2))

v = 3.33 m/s

part b )

v = sqrt(2gh/(1+(I/mR2^2))

v = 4.88 m/s

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