The figure shows an elaborate pulley consisting of four small spheres and a uniform disk, all of which rotate together. Each sphere has a mass m = 3.44 kg, is held a distance of 0.27 m from the pulley's center by a massless spoke, and is small enough that it can be considered a point mass. When a block of mass M=11.6 kg is attached as shown and released from rest, the ideal rope turns the pulley without slipping as the block descends. Calculate the block's speed v after falling a distance of 0.51 m, if the pulley's mass and radius are mp = 3.99 kg and R = 0.12 m.

College Physics
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Chapter1: Units, Trigonometry. And Vectors
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The figure shows an elaborate pulley consisting of four small spheres and a uniform
disk, all of which rotate together. Each sphere has a mass m = 3.44 kg, is held a
distance of 0.27 m from the pulley's center by a massless spoke, and is small enough
that it can be considered a point mass. When a block of mass M =11.6 kg is
attached as shown and released from rest, the ideal rope turns the pulley without
slipping as the block descends.
Calculate the block's speed v after falling a distance of 0.51 m, if the pulley's mass
and radius are mp = 3.99 kg and R = 0.12 m.
m
V=
mp
M
__m/s
Transcribed Image Text:The figure shows an elaborate pulley consisting of four small spheres and a uniform disk, all of which rotate together. Each sphere has a mass m = 3.44 kg, is held a distance of 0.27 m from the pulley's center by a massless spoke, and is small enough that it can be considered a point mass. When a block of mass M =11.6 kg is attached as shown and released from rest, the ideal rope turns the pulley without slipping as the block descends. Calculate the block's speed v after falling a distance of 0.51 m, if the pulley's mass and radius are mp = 3.99 kg and R = 0.12 m. m V= mp M __m/s
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