Vertical Circular Motion

Largely because of riding in cars, you are used to horizontal circular motion. Vertical circular motion would be a novelty. In this sample problem, such motion seems to defy the gravitational force. In a 1901 circus performance, Allo Dare Devil Diavolo introduced the stunt of riding a bicycle in a loop the loop. Assuming that the loop is a circle with radius R=2.7m, what is the least speed v that Diavolo and hisbicycle could have at the top of the loop to remain in contact with it there?

A observer standing in a cart which has acceleration g on horizontal road is observing vertical circular motion of a pendulum. One end of the pendulum string is at rest at O with respect to the cart. Choose the possible position of minimum speed for the pendulum with respect to car during complete vertical circular motion from the figure given below.

A cylinder of radius R is rotating about its horizontal axis with constant omega=sqrt((5g)/R) . A block of mass m is kept on the inner surface of the cylinder. Block is moving in vertical circular motion without slipping. co–efficient of friction between block and surface of cylinder is mu . If minimum value of mu for complete vertical circular motion of block is (2sqrt(6))/(3x) then find 'x'.

A particle tied to string of length 0.5m is given a velocity 3 m/s at its bottom point while undergoing vertical circular motion. What will be its speed when it makes an angle of 60^0 with lower vertical

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