Circular MotionHardBloom L3
Question
In the shown figure inside a fixed hollow cylinder with vertical axis a pendulum is moving conically with its axis same as that of the cylinder with uniform angular velocity. Radius of cylinder is 30 cm, length of string is 50 cm and mass of bob is 400 gm. The bob makes contact with the inner frictionless wall of the cylinder while moving :
Options
A.The minimum value of angular velocity of the bob so that it does not leave contact is 5 rad/s
B.Tension in the string is 5N for all values of angular velocity
C.For angular velocity of 10 rad/s the bob pushes the cylinder with a force of 9N
D.For angular velocity of 10 rad/s, tension in the string is 20N
Solution
Sol. 
Tcosθ = mg ....(i)
N + Tsinθ = $\frac{mv^{2}}{r}$ ....(ii)
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