ionary. Then, the pulley is allowed to rotate as the block falls. Assum

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A block (mass = 3.0kg) is hanging from a mass-less string that is wrapped around a pulley. The string is 120cm long. Initially the string was wrapped fully and the pulley is prevented from rotating and the block is stationary. Then, the pulley is allowed to rotate as the block falls. Assume that the radius of the cord around the pulley remains constant at a value of 0.050m during the block's descent. The mass rolls from rest down to the end of the string.

 

A block (mass =3.0 kg) is hanging from a mass-less string that is wrapped around a
pulley (moment of inertia 1.3x10 3 kg.m2 ). The string is 120 cm long. Initially the string was wrapped fully and the pulley is prevented from rotating and the block is
stationary. Then, the pulley is allowed to rotate as the block falls. The string does not slip relative to the pulley as the block falls. Assume that the radius of the cord
around the pulley remains constant at a value of 0.050 m during the block's descent. The mass rolls from rest down to the end of the string.
(a) What is the magnitude of its linear acceleration?
(b) How long does it take to reach the end of the string?
As it reaches the end of the string, what are its
(c) linear speed
(d) transnational kinetic energy
(e) rotational kinetic energy,
(f) angular speed
(g) angular momentum
Transcribed Image Text:A block (mass =3.0 kg) is hanging from a mass-less string that is wrapped around a pulley (moment of inertia 1.3x10 3 kg.m2 ). The string is 120 cm long. Initially the string was wrapped fully and the pulley is prevented from rotating and the block is stationary. Then, the pulley is allowed to rotate as the block falls. The string does not slip relative to the pulley as the block falls. Assume that the radius of the cord around the pulley remains constant at a value of 0.050 m during the block's descent. The mass rolls from rest down to the end of the string. (a) What is the magnitude of its linear acceleration? (b) How long does it take to reach the end of the string? As it reaches the end of the string, what are its (c) linear speed (d) transnational kinetic energy (e) rotational kinetic energy, (f) angular speed (g) angular momentum
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