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General
Easy
Question
In the figure shown a ring A is initially rolling without sliding with a velocity v on the horizontal surface of the body B (of same mass as A). All surfaces are smooth. B has no initial velocity. What will be the maximum height reached by A on B.
The correct answer is:
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A small block of mass m is placed on a wedge of mass M as shown, which is initially at rest. All the surfaces are frictionless . The spring attached to the other end of wedge has force constant k. If a' is the acceleration of m relative to the wedge as it starts coming down and A is the acceleration acquired by the wedge as the block starts coming down, then
A small block of mass m is placed on a wedge of mass M as shown, which is initially at rest. All the surfaces are frictionless . The spring attached to the other end of wedge has force constant k. If a' is the acceleration of m relative to the wedge as it starts coming down and A is the acceleration acquired by the wedge as the block starts coming down, then
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In the figure shown a long cart moves on a smooth horizontal surface due to an external constant force of magnitude F. Initial mass of the cart is M0 and velocity is zero. At t = 0 sand starts falling kg/s and sticksmfrom a stationary hopper on to the cart with negligible velocity at constant rate to the cart.
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A bob of mass 10 M is suspended through an inextensible string of length l. When the bob is at rest at the equilibrium position, two particles of mass m each moving with velocity u making an angle 60° with the string strike and get simultaneously attached to the bob. What is the value of impulsive tension (l) in the string during the impact ?
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A small ball is dropped from a height h onto a rigid frictionless plate at B and rebounds. Find the maximum height reached after rebound if the coefficient of restitution between the ball and the plate is e = 0.75:
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An potential energy curve U(x) is shown in the figure. What value must the mechanical energy Emec of the particle not exceed, if the particle is to be trapped within the region shown in graph?
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Physics-General
