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
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)
Trending now
This is a popular solution!
Step by step
Solved in 4 steps
