Two blocks having different mass M1=2kg and M2=5kg are connected by string passi

Question

Two blocks having different mass M1=2kg and M2=5kg are connected by string passing over the pulley mass M=4 kg and radius of R= 5cm as shown in the figure below. The pulley has a moment of inertia of I=MR^2/2. The string does not slip on the pulley, and the system release from the rest.

b) Find the angular speed of the pulley at this time and the revelation per minute of the pulley.

please show all steps

3) Two block having different mass m1 2 kg and m2 5 kg are connecter by string passing over the pulley mass M 4 kg and radius of R 5 cm as shown in the figure below. The pulley has a moment of inertia of l M R2/2. The string does not slip on the pulley, and the system release from the rest. a) Find the translational speeds of the blocks after block 2 descends through a distance h 1.5 m b) Find the angular speed of the pulley at this time and the revelation per minute of pulley. 1.5 m

Explanation / Answer

Given that

mass m1=2 kg

mass m2=5 kg

pulley mass M=4 kg

radius r=5 cm

now we find the acceleration of the system

the acceleration =(m2-m1)g/(m1+m2+M/2)

=(5-2)*9.8/(2+5+4/2)

=3.27 m/s^2

now we find the translational speed

the translational speed V=[2*3.27*1.5]^1/2=3.1 m/s^2

now we find the angular speed

the angular speed W=V/r=3.13/0.05=62.6 rad/s=597.8 rad/min

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