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A small ball rolls around a horizontal circle at height y inside a frictionless hemispherical bowl of radius R. Find an expression for the ball's...

A small ball rolls around a horizontal circle at height y inside a frictionless hemispherical bowl of radius R. Find an expression for the ball's angular velocity in terms of R, y and g.

Q1) Find an express for the ball's angular velocity in terms of R,y and g.

Q2) What is the minimum value of w for which the ball can move in a circle?

Q3) What is w of R = 20 cm and the ball is halfway up?

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