# 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