A fixed pulley has a moment of inertia of 0.689 kg m² and a radius of 0.165 m. A string, wrapped tightly around the pulley, has a block of mass 0.409 kg attached to its free end. VWith the string vertical and taut, the block is carefully released so it can descend under the influence of gravity. As the block falls, the string unwinds and causes the pulley to rotate, but does not slip on the pulley. What is the speed of the block in m/s after it has fallen through 0.66 m? Express your answer to 2 decimal places.

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A fixed pulley has a moment of inertia of 0.689 kg m² and a radius of 0.165 m. A string, wrapped tightly around
the pulley, has a block of mass 0.409 kg attached to its free end. With the string vertical and taut, the block is
carefully released so it can descend under the influence of gravity. As the block falls, the string unwinds and causes
the pulley to rotate, but does not slip on the pulley.
What is the speed of the block in m/s after it has fallen through 0.66 m?
Express your answer to 2 decimal places.
Transcribed Image Text:A fixed pulley has a moment of inertia of 0.689 kg m² and a radius of 0.165 m. A string, wrapped tightly around the pulley, has a block of mass 0.409 kg attached to its free end. With the string vertical and taut, the block is carefully released so it can descend under the influence of gravity. As the block falls, the string unwinds and causes the pulley to rotate, but does not slip on the pulley. What is the speed of the block in m/s after it has fallen through 0.66 m? Express your answer to 2 decimal places.
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