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A ball with radius r and mass m with angel 30 with horizon and with velocity V, according to figure, enters to a semispherical shell with radius R and the coefficient of friction between semispherical shell and ball is µ . This semispherical shell is in the Car moving at the circular path with radius a .assume that the semispherical shell is without any linear or lateral movement on the car:

A: assume that the velocity of car and the semispherical shell is zero, and determine the path of the Ball’s movement.

B: assume that the semispherical shell rotate about its z-axe with constant angular velocity of w1 and determine the path of the Ball’s movement.

C: assume that the semispherical shell rotate about its z-axe with angular velocity of w1, and the car moves in circular path with constant angular velocity of w2. Determine the path of the Ball’s movement.

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