A dics is rotating in a room. A boy standing near the rim of the disc of radius `R` finds the water droplet falling from the ceiling is always falling on his head. As one drop hits his head, other one starts from the ceiling. If height of the roof above his head is `H` , then angular velocity of the disc is

If water drops are falling at regular time intervals from ceiling of height H, then position of drop from the ceiling is (when n^(th) drop falling from the ceiling and r^(th) drop is in its way)

In the figure (i) a disc of mass M(kg) and radius R(m) is rotating smoothly about a fixed vertical axis AB with angular speed 26 rad//s A rod rod CD of length (R)/(2)(m) and mass M(kg) is hinged at one end at point 'D' on the disc. The rod remains in vertical position and rotates along with the disc about axis AB . At some moment the rod CD gets a very smal impulse at point 'C' due to air due to which the rod falls on the disc along one radius and sticks to the disc as shown in figure (ii) . Now find the angular velocity of the disc in rad//s .

In the figure (i) a disc of mass M(kg) and radius R(m) is rotating smoothly about a fixed vertical axis AB with angular speed 26 rad//s A rod rod CD of length (R)/(2)(m) and mass M(kg) is hinged at one end at point 'D' on the disc. The rod remains in vertical position and rotates along with the disc about axis AB . At some moment the rod CD gets a very smal impulse at point 'C' due to air due to which the rod falls on the disc along one radius and sticks to the disc as shown in figure (ii) . Now find the angular velocity of the disc in rad//s .

Water drops are falling from a tip at regular time intervals. When the fifth drop is near to fall from tap the first drop is at ground. If the top is fixed at height H from ground then find out (i) the height of the second drop from ground (ii) distance between the second and third drop (iii) velocity of third drop