Dynamics of uniform and non uniform circular motion
The over-bridge of a river is in the form of a circular arc of radius of curvature 10 m. If g = 10 ms-2. The highest speed (in m/s) at which a motor cyclist can cross the bridge without leaving the ground is
The motor cyclist can leave the ground only at the highest point on the bridge. At this point, the centripetal force is mv /R. He will not leave the ground if the centripetal force equals the weight mg.
Thus
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When a particle of mass m is suspended from a massless spring of natural length , the length of the spring becomes . When the same mass moves in conical pendulum as shown in figure, the length of the spring becomes L. The radius of the circle of conical pendulum is:
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