Can This Thing Ever Happen?

Classical Mechanics Level 4

A Uniform Disc Of Radius R And Mass m Is Projected Onto A Horizontal Floor With A Backward Spin Such That Its Centre Of Mass Speed Is v and Angular Velocity Is w . What Must Be The Minimum Value Of w So That The Disc Eventually Returns Back.

Details And Assumptions

Take Acceleration Due To Gravity = 10 SI Units

v = 10 m/sec

R = 5 m

The Ground Is Rough

If You Think That Situation Is Not Possible Then Give Your Answer As 0 .

Initial velocity of centre of mass is in forward direction


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