A box, mass m, = 0.250 kg is tied to a rope wrapped around a pulley as shown on the right. The pulley is essentially a disk with mass m, =1.00 kg and radius 4.00 cm. As the box falls, the rope unwinds without slipping and spins the pulley. a) Draw a free-body diagram for the pulley and box. m b) Write down Newton's second law appropriate for the pulley and box. c) Find the acceleration of the block. d) Find the tension in the rope.

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A box, mass m, = 0.250 kg is tied to a rope wrapped around a pulley as shown on
the right. The pulley is essentially a disk with mass m, =1.00 kg and radius 4.00 cm.
As the box falls, the rope unwinds without slipping and spins the pulley.
a) Draw a free-body diagram for the pulley and box.
m
b) Write down Newton's second law appropriate for the pulley and box.
c) Find the acceleration of the block.
d) Find the tension in the rope.
Transcribed Image Text:A box, mass m, = 0.250 kg is tied to a rope wrapped around a pulley as shown on the right. The pulley is essentially a disk with mass m, =1.00 kg and radius 4.00 cm. As the box falls, the rope unwinds without slipping and spins the pulley. a) Draw a free-body diagram for the pulley and box. m b) Write down Newton's second law appropriate for the pulley and box. c) Find the acceleration of the block. d) Find the tension in the rope.
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