An m 10.8 kg mass is attached to a cord that is wrapped around a wheel of radius

Question

An m 10.8 kg mass is attached to a cord that is wrapped around a wheel of radius r11.0 cm (see the figure below). The acceleration of the mass down the frictionless incline is measured to be a 1.88 m/s2. Assuming the axle of the wheel to be frictionless, and the angle to be ? = 36.20 determine the tension in the rope. Submit Answer Tries 0/8 Determine the moment of inertia of the wheel Submit Answer Tries o/8 Determine angular speed of the wheel 1.96 s after it begins rotating, starting from rest. Submit Answer Tries 0/8

Explanation / Answer

a) T = m g sin theta - ma

= (10.8 * 9.8 * sin 36.2) - (10.8 * 1.88)

Tension = 42.2 N

b) T r = I at / r

I = T r2 / at = (42.2 * 0.112) / (1.88)

moment of inertia = 0.272 kg.m2

c) angular speed = a t / r

= 1.88 * 1.96 / 0.11

= 33.5 rad/s

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