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Unformatted text preview: Tension in a String An object of mass m is suspended from a light string that is wound around the rim of a pulley wheel that has moment of inertia I and radius R . The wheel bearing is frictionless and the string does not slip on the rim. The wheel is released from rest. It starts to rotate as the object descends and the string unwinds. Find the tension in the string and the acceleration of the object. PICTURE The object descends with a downward acceleration a , while the wheel rotates with an angular acceleration ( Figure 9-25 ). We apply Newtons second law for rotation to the wheel to determine and Newtons second law to the object to obtain . Relate t and using the nonslip condition. SOLVE 1. Draw a free-body diagram of the pulley wheel, drawing each force vector with its tail at the point 1....
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