2.99
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An object of mass M = 12.0 kg is attached to a cord that is wrapped around a wheel of radius r = 10.0 cm (Fig. P8.78). The acceleration of the object down the frictionless incline is measured to be a = 2.00 m/s2 and the incline makes an angle θ = 37.0° with the horizontal. Assuming the axle of the wheel to be frictionless, determine

(a) The tension in the rope,

(b) The moment of inertia of the wheel, and

(c) The angular speed of the wheel 2.00 s after it begins rotating, starting from rest.

Figure P8.78: