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A 45N brick is suspended by a light string from a 2kg pulley.The brick is releas

ID: 2256902 • Letter: A

Question

A 45N brick is suspended by a light string from a 2kg pulley.The brick is released from rest and falls to the floor below as thepulley rotates through 5 rad. The pulley may be considered a soliddisk of radius 1.5 m. What is the angular speed of thepulley?

The answer is 7.3, please explain without skipping steps
Thank you!!!! A 45N brick is suspended by a light string from a 2kg pulley. The brick is released from rest and falls to the floor below as the pulley rotates through 5 rad. The pulley may be considered a solid disk of radius 1.5 m. What is the angular speed of the pulley?

Explanation / Answer

conservation of energy

mb *g h = 0.5I w*w + 0.5 mv*v

mb= mass of the block

w =v/r as no slipping

h= r*theta = 1.5*5

I =0.5*2*1.5*1.5

on substituting these in conservation equation we get

v=10.987m/s

w= v/r= 7.33 rad/s

     

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