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A ball of mass 1kg is suspended by an inextensible string 1m long attached to a point O of a smooth horizontal bar resting on fixed smooth supports A and B. The ball is released from rest from the position when the string makes an angle 30^@ with the vertical. The mass of the bar is 4kg . The displacement of bar when ball reaches the other extreme position (in m) is

A particle of mass m is released in a smooth hemispherical bowl from shown position A. Find work done by gravity as it reaches the lowest point B.

A ball is rolling without slipping in a spherical shallow bowl (radius R) as shown in the figure and is executing simple harmonic motion. If the radius of the ball is doubled, the period of oscillation

A cricket ball of mass 0.15 kg is thrown vertically up by a bowling machine so that it rises to a maximum height of 20 m after leaving the machine. If the part pushing the ball applies a constat force F on the ball and moves horizontally a distance of 0.2 m while launching the ball, the value of F (in N) is (g = 10 ms^(-2)) __________.

Which of the following examples examples represent (nearly) simple harmonic motion and which represent periodic but not simple harmonic motion? (a) The rotation of earth about its axis. (b) Motion of an oscillating mercury column in a U tube, (c) Motion of a ball bearing inside a smooth curved bowl, when released from a point slightly above the lower most position. (d) General vibrations of a polyatomic molecule about its equilibrium position.

A solid spherical ball of mass m is released from the topmost point of the shown semi - spherical shell. The track is sufficiently rough to enablle to enable pure rolling motion. The normal force between the ball and the shell at the lowest position is

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