Chapter 8 – COM, Momentum and Collision
Two identical spheres P and Q lie on a smooth horizontal circular groove at opposite ends of a diameter. P is projected along the groove and at the end of time t, it impinges on Q . If e is the coefficient of restitution, the second impact will occur after a shortest time of
27
Nov
Two identical spheres P and Q lie on a smooth horizontal circular groove at opposite ends of a diameter. P is projected along the groove and at the end of time t, it impinges on Q . If e is the coefficient of restitution, the second impact will occur after a shortest time of it [...]
A spherical ball A of mass 4 kg, moving along a straight line strikes another spherical ball B of mass 1 kg at rest. After the collision, A and B move with velocities v1ms^−1 and v2ms^−1 respectively making angles of 30^∘ and 60^∘ with respect to the original direction of motion of A. The ratio v1/v2 will be
29
Oct
A spherical ball A of mass 4 kg, moving along a straight line strikes another spherical ball B of mass 1 kg at rest. After the collision, A and B move with velocities v1ms^−1 and v2ms^−1 respectively making angles of 30^∘ and 60^∘ with respect to the original direction of motion of A. The ratio [...]
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A and B move with velocities v1ms^−1 and v2ms^−1 respectively making angles of 30^∘ and 60^∘ with respect to the original direction of motion of A. The ratio v1/v2 will be ,
A spherical ball A of mass 4 kg ,
moving along a straight line strikes another spherical ball B of mass 1 kg at rest. After the collision ,
A particle strikes a horizontal frictionless floor with a speed u, at an angle θ to the vertical, and rebounds with a speed v, at an angle ϕ to the vertical. The coefficient of restitution between the particle and the floor is e. The angle ϕ is equal to
29
Oct
A particle strikes a horizontal frictionless floor with a speed u, at an angle θ to the vertical, and rebounds with a speed v, at an angle ϕ to the vertical. The coefficient of restitution between the particle and the floor is e. The angle ϕ is equal to A particle strikes a horizontal frictionless [...]
A ball collides with a fixed inclined plane of inclination θ after falling through a distance h. If it moves horizontally just after the impact, the coefficient of restitution is :
29
Oct
A ball collides with a fixed inclined plane of inclination θ after falling through a distance h. If it moves horizontally just after the impact, the coefficient of restitution is : A ball collides with a fixed inclined plane of inclination θ after falling through a distance h. If it moves horizontally just after the [...]
A ball is projected in a direction inclined to the vertical and bounces on a smooth horizontal plane. The range of one rebound is R. If the coefficient of restitution is e, then range of the next rebound is
29
Oct
A ball is projected in a direction inclined to the vertical and bounces on a smooth horizontal plane. The range of one rebound is R. If the coefficient of restitution is e, then range of the next rebound is A ball is projected in a direction inclined to the vertical and bounces on a smooth [...]
Two balls collide and bounce off each other as shown in figure the 1kg ball has a speed of 10 cm/s after collision. The velocity of the 0.5 kg ball will be
29
Oct
Two balls collide and bounce off each other as shown in figure the 1kg ball has a speed of 10 cm/s after collision. The velocity of the 0.5 kg ball will be Two balls collide and bounce off each other as shown in figure the 1kg ball has a speed of 10 cm/s after collision. [...]
Two small bodies of masses ‘m’ and ‘2m’ are placed in a fixed smooth horizontal circular hollow tube of mean radius’ as shown. The mass ‘m’ is moving with speed’ u and the mass 2m’ is stationary. After their first collision, the time elapsed for next collision is : coefficient of restitution e = 1/21.
29
Oct
Two small bodies of masses ‘m’ and ‘2m’ are placed in a fixed smooth horizontal circular hollow tube of mean radius’ as shown. The mass ‘m’ is moving with speed’ u and the mass 2m’ is stationary. After their first collision, the time elapsed for next collision is : coefficient of restitution e = 1/21. [...]
Two particles A and B of equal mass m are attached by a string of length 2l and initially placed over a smooth horizontal table in the position shown in Fig. Particle Q is projected across the table with speed u perpendicular to the line joining them. Find the velocities of each particle Q after the string becomes taut and the will be.
29
Oct
Two particles A and B of equal mass m are attached by a string of length 2l and initially placed over a smooth horizontal table in the position shown in Fig. Particle Q is projected across the table with speed u perpendicular to the line joining them. Find the velocities of each particle Q after [...]
Two small particles of equal masses start moving in opposite directions from a point A in a horizontal circular orbit. Their tangential velocities are v and 2v respectively, as shown in the figure. Between collisions, the particles move with constant speeds. After making how many elastic collisions, other than that at A, these two particles will again reach the point A?
29
Oct
Two small particles of equal masses start moving in opposite directions from a point A in a horizontal circular orbit. Their tangential velocities are v and 2v respectively, as shown in the figure. Between collisions, the particles move with constant speeds. After making how many elastic collisions, other than that at A, these two particles [...]
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as shown in the figure. Between collisions ,
other than that at A ,
the particles move with constant speeds. After making how many elastic collisions ,
these two particles will again reach the point A? ,
Two small particles of equal masses start moving in opposite directions from a point A in a horizontal circular orbit. Their tangential velocities are v and 2v respectively ,
A glass ball collides with a smooth horizontal surface (x – y) with a velocity V = ai − bj. If the coefficient of restitution of collision be e, the velocity of the ball just after the collision will be
29
Oct
A glass ball collides with a smooth horizontal surface (x – y) with a velocity V = ai − bj. If the coefficient of restitution of collision be e, the velocity of the ball just after the collision will be A glass ball collides with a smooth horizontal surface (x - y) with a velocity [...]