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PtichkaEL
1 month ago
10

A pulley in the shape of a solid cylinder of mass 1.50 kg and radius 0.240 m is free to rotate around a horizontal shaft along t

he axis of the pulley. There is friction between the pulley and this shaft. A light, nonstretching cable is wrapped around the pulley, and the free end is tied to a 2.00 kg textbook. You release the textbook from rest a distance 0.900 m above the floor. Just before the textbook hits the floor, the angular speed of the pulley is 10.0 rad/s. What is the speed of the textbook just before it hits the floor
Physics
1 answer:
serg [3.5K]1 month ago
6 0

Answer:

the speed the textbook reaches just before landing is 2.4 m/s

Explanation:

  Given the parameters in the question;

pulley mass = 1.50 kg

pulley radius = 0.240 m

textbook mass = 2.0 kg

height from which the textbook is released = 0.9 m

angular speed of the pulley = 10.0 rad/s

the speed of the textbook just before it touches the ground =?

the speed of the textbook v = angular speed of the pulley × radius of pulley

substituting gives us

v = 10.0 rad/s × 0.240 m

v = 2.4 m/s

Thus, the speed of the textbook upon impact with the floor is 2.4 m/s

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