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A spring/pulley/cylinder system is shown above. The motion is such that the spring always stretches in the vertical direction, while the pulley (a thin disc) is pinned at its center and the rope does not slip on the pulley. At the instant shown the spring is already stretched by a value of s = 0.15 m, and the angular velocity of the pulley is w = 2.0 rad/s. The other relative properties are listed below: R = 0.59 m pulley mass = 26.1 kg cylinder mass = 24.4 kg k = 120 N/m Using the given information, determine the angular velocity of the pulley after the cylinder falls d = 1.0 m from its current location.

A spring/pulley/cylinder system is shown above. The motion is such that the spring always stretches in the vertical direction, while the pulley (a thin disc) is pinned at its center and the rope does not slip on the pulley. At the instant shown the spring is already stretched by a value of s = 0.15 m, and the angular velocity of the pulley is w = 2.0 rad/s. The other relative properties are listed below: R = 0.59 m pulley mass = 26.1 kg cylinder mass = 24.4 kg k = 120 N/m Using the given information, determine the angular velocity of the pulley after the cylinder falls d = 1.0 m from its current location.

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www R = 0.59 m R A spring/pulley/cylinder system is shown above. The motion is such that the spring always stretches in the vertical direction, while the pulley (a thin disc) is pinned at its center and the rope does not slip on the pulley. At the instant shown the spring is already stretched by a value of s = 0.15 m, and the angular velocity of the pulley is w = 2.0 rad/s. The other relative properties are listed below: k k = 120 N/m pulley mass = 26.1 kg cylinder mass= 24.4 kg Using the given information, determine the angular velocity of the pulley after the cylinder falls d = 1.0 m from its current location.
Transcribed Image Text:www R = 0.59 m R A spring/pulley/cylinder system is shown above. The motion is such that the spring always stretches in the vertical direction, while the pulley (a thin disc) is pinned at its center and the rope does not slip on the pulley. At the instant shown the spring is already stretched by a value of s = 0.15 m, and the angular velocity of the pulley is w = 2.0 rad/s. The other relative properties are listed below: k k = 120 N/m pulley mass = 26.1 kg cylinder mass= 24.4 kg Using the given information, determine the angular velocity of the pulley after the cylinder falls d = 1.0 m from its current location.
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