A large ball (radius=0.75m) with an initial rotation speed of 36rad/s is rolling up an incline without slipping . If 54m up the incline it has slowed to a rotation rate of 12rad/s, what is its angular and linear deceleration? How far up the ramp will it go before starting to roll back down? How long will it take the ball to roll back down to its initial starting position?

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Centripetal Force

A particle, body, object or certain mass while travelling in a rotational path or semicircular path, experiences an inertia force. If that inertia force pulls the towards the inward of the imaginary circle in the rotation, it is termed as centripetal force.