How to Calculate the Angle of Shifting for a Rotating Disc with Removed Portion?

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SUMMARY

The discussion focuses on calculating the angle of shifting for a rotating disc with a removed portion. A uniform circular disc with a radius of 2 centimeters has a circular portion of radius 1 centimeter removed, resulting in a maximum shift in the center of mass. When the disc is rotated about its center of mass 'O' through an angle, the new center of mass is displaced by 1/square root of 3 centimeters. The calculated angle of shifting is definitively 120 degrees.

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This discussion is beneficial for physics students, educators, and anyone interested in understanding the dynamics of rotating bodies and the implications of mass distribution on motion.

d_vsuresh
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Homework Statement



From a uniform circular disc of radius 2 centimeter( its centre of mass is at 'O') , a circular portion of radius 1 cm is removed such that shift in centre of mass is maximum.The disc is now rotated about about 'O' perpendicular to the plane through an angle then the magnitude of displacement of new centre of mass is 1/square root of 3 centimeter. Then the angle of shifting is how much ?

Answer given as 120 degree.

Homework Equations


The Attempt at a Solution

 
Last edited:
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Hi d_vsuresh! :wink:

Show us what you've tried, and where you're stuck, and then we'll know how to help! :smile:
 

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