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

AI Thread Summary
To calculate the angle of shifting for a rotating disc with a removed portion, the problem involves a uniform circular disc of 2 cm radius with a 1 cm circular portion removed. The maximum shift in the center of mass occurs when the disc is rotated about its center, resulting in a new center of mass displacement of 1/sqrt(3) cm. The solution indicates that the angle of shifting is 120 degrees. Understanding the relationship between the displacement and the angle is crucial for solving similar problems in physics.
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

 
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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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