Two objects are attached to ropes that are attached to wheels on a common axle as shown in Figure The total moment of inertia of the two wheels is 40 kgm 2 The radii of the wheels are R 1 1 2 m and R 2 0 4 m (a) If m 1 24 kg, find m 2 such that there is no angular acceleration of the wheels (b) If 12 kg is gently added to the top of m 1 , find the angular acceleration of the wheels and the tensions in the ropes R1 m2

Question: Two objects are attached to ropes that are attached to wheels on a common axle as shown in Figure. The total moment of inertia of

Two objects are attached to ropes that are attached to wheels on a common axle as shown in Figure. The total moment of inertia of the two wheels is 40 kg·m². The radii of the wheels are R₁ = 1.2 m and R₂ = 0.4 m.

(a) If m₁ = 24 kg, find m₂ such that there is no angular acceleration of the wheels.

(b) If 12 kg is gently added to the top of m₁, find the angular acceleration of the wheels and the tensions in the ropes.

R1 m2

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