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19. assignment (rotational dynamics)

A wheel of radius r1 = 0.8 m and hub of radius r2 = 0.4 m is shown in the diagram. Two masses are hung from the wheel-hub system. The mass m2, on the left, is hung from the hub. The mass m1 is hung from the wheel. The system is in equilibrium. The moment of inertia for the disk-hub system is I = 1.34 kg m2.

1. Which of the following statements are true:

a. m1 = m2

b. m1 < m2

c. m1 > m2

2. The mass m2 = 1.6 kg. What is the mass of m1?

3. If m1 = 0.88 kg is large enough for the system to rotate, when m2 = 1.6 kg, what is the magnitude of the

acceleration of the mass m2?
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