A small block is placed on the top of a smooth inverted hemispherical bowl of radius R.
(a) The bowl is given a sudden impulse so that it begins moving horizontally with speed V. Find minimum value of V so that the block immediately loses contact with the bowl as it begins to move. (b) The bowl is given a constant acceleration ‘a’ in horizontal direction. Find maximum value of ‘a’ so that the block does not lose contact with the bowl by the time it rotates through an angle `theta=1^(@)` relative to the bowl. You can make suitable mathematical approximations justified for small value of angle `theta`.
