In the figure shown in the text, if the block is a cube of side `a`
find
(a). `omega` just after impact
(b). Loss of mechanical enegy during impact
(c) minimum value of v so as the block overcomes the obstacle and does not turn back.

In the situation discussed above, find (a) velocity of combined mass just after collision at the bottommost point (or u) . (b) loss of mechanical energy during collision. (c) minimum value of v_0 so that the combined mass completes the vertical circular motion.

A block is rotating in contact with vertical wall (rotor) as shown. Find the minimum value of omega so that the block does not slide down.

In the shown figure, the mass in sticks to the string just after it strikes it. Then the minimum value of h, so that the lower mass bounce off the ground during 'its rebound is:

Consider the figure shown here of a moving cart C. if the coefficient of friction between the block A and the cart is mu , then calculate the minimum acceleration a of the cart C so that the block A does not fall.

Consider the figure shown here of a moving cart C. if the coefficient of friction between the block A and the cart is mu , then calculate the minimum acceleration a of the cart C so that the block A does not fall.

Consider the figure shown here of a moving cart C. if the coefficient of friction between the block A and the cart is mu , then calculate the minimum acceleration a of the cart C so that the block A does not fall.

A block has a L shaped stand fixed to it. Mass of the block with the stand is M. At the free end of the stand there is a spring which carries a ball of mass m. With the spring in its natural length, the ball is released. It begins to oscillate and the stand is tall enough so that the ball does not hit the block. (a) Find maximum value of mass (m) of the ball for which the block will not lose contact with the ground? (b) If the stand is not tall enough and the ball makes elastic impact with the block, will your answer to part (a) change?

A small block of mass 2m initially rests at the bottom of a fixed circular, vertical track, which has a radius of R . The contact surface between the mass and the loop is frictionless. A bullet of mass m strikes the block horizontally with initial speed v_(0) and remain embedded in the block as the block and the bullect circle the loop. Determine each of the following in terms of m,R and g . (a) The speed of the masses immediately after the impact. (b) The minimum initial speed of the bullet if the block and the bullet are to successfully execute a complete ride on the loop

A solid cube of side 'a' is shown in the figure. Find maximum value of 100 b/a for which the block does not topple before sliding.

A solid cube of side 'a' is shown in the figure. Find maximum value of 100 b/a for which the block does not topple before sliding.