Finding the speed of the cylinder's point of mass

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To find the speed of a cylinder's point of mass, it's essential to calculate the torques involved. The discussion highlights uncertainty about summing torques in a specific case and the challenge of determining the appropriate pivot point for torque calculations. Using the cylinder's center of mass as a pivot point is suggested as a potential solution. The need for guidance on applying integrals to find the pivot point is emphasized. Understanding these concepts is crucial for accurately solving the problem.
Alif Yasa
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Homework Statement
In the picture
Relevant Equations
Force Equilibrium and Torque Equilibrium
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I already got the answer for the case a
but at the case b, i don't know how to sum all of the torques.
I'm thinking of using integral, but i don't know where to put the pivot point for the torque.
I don't know how to search for the pivot point.
Can anybody give me hints so i could find the pivot point ?
 
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Alif Yasa said:
I'm thinking of using integral, but i don't know where to put the pivot point for the torque.
take cylinder's center of mass for a pivot point for example
 
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