772
Problem Index
2.15 Motion of two blocks connected by a string passing over a pulley on the top
of two smooth inclines hinged together back to back.
2.16 Motion of two blocks connected by a string over a pulley on top of a double
incline.
2.17 Atwood machine.
2.18 Coefficient of friction by the time of descent on a rough and smooth incline.
2.19 Angle of incline if the normal reaction is twice the resultant force, given
μ = 0.5.
2.20 Acceleration of the centre of mass in Atwood machine.
2.21 Two blocks in vertical arrangement connected by a string over a pulley. To find
acceleration of the lower block under the application of a horizontal force.
2.22 Work done by constant forces F 1 and F 2 for displacement from r 1 to r 2 .
2.23 Given U (x) = 5x 2 − 4x 3 , to find (a) F(x) and (b) equilibrium positions and
to determine whether they are stable or not.
2.24 To find μ if 70% of the initial potential energy is dissipated during the descent
on a 30 ◦ incline.
2.25 A smooth object slides down a frictionless ramp of height h. To find the distance necessary to stop the object if the coefficient of friction is μ.
2.26 Collision of a crate with a fixed spring.
2.27 Kinematics of an elastic collision.
2.28 An off-centre elastic scattering of two objects of equal mass.
2.29 Impact of a ball on a spring attached to a block placed on a smooth table.
2.30 A sphere of mass m is placed in between and collinear with two other spheres
each of mass 9 m. If the small sphere moves in line with the centres of other
two, to find number of collisions that will occur if the spheres are perfectly
elastic.
2.31 An elastic head-on collision between two particles.
2.32 An inelastic oblique collision.
2.33 A glancing elastic collision of two identical particles.
2.34 Decay of 14 C nucleus at rest.
2.35 Relation between scattering angle and recoil angle in elastic collision.
2.36 Velocity of the target particle in a glancing elastic collision.
2.37 An inelastic collision between a nucleus of mass 2 m with stationary nucleus
of mass 10 m.
2.38 Fraction of neutron’s kinetic energy in elastic head-on collision with carbon
nucleus.
2.39 In an elastic collision between a very heavy body and a very light body at rest,
the lighter body has twice the initial velocity of the heavy body.
2.40 Half of kinetic energy is lost in completely inelastic collision of one body with
one identical body at rest.
2.41 Speed of a bullet from its collision with a wooden block resting on a table.
2.42 The ratio M/m, V c , KE in CMS in elastic collision.
2.43 In an elastic collision between M and m at rest (M > m), sin θ m = m/M.
2.44 The ballistic pendulum.
2.45 Pressure exerted by fire engine jet (elastic collision with the wall).
Problem Index
2.15 Motion of two blocks connected by a string passing over a pulley on the top
of two smooth inclines hinged together back to back.
2.16 Motion of two blocks connected by a string over a pulley on top of a double
incline.
2.17 Atwood machine.
2.18 Coefficient of friction by the time of descent on a rough and smooth incline.
2.19 Angle of incline if the normal reaction is twice the resultant force, given
μ = 0.5.
2.20 Acceleration of the centre of mass in Atwood machine.
2.21 Two blocks in vertical arrangement connected by a string over a pulley. To find
acceleration of the lower block under the application of a horizontal force.
2.22 Work done by constant forces F 1 and F 2 for displacement from r 1 to r 2 .
2.23 Given U (x) = 5x 2 − 4x 3 , to find (a) F(x) and (b) equilibrium positions and
to determine whether they are stable or not.
2.24 To find μ if 70% of the initial potential energy is dissipated during the descent
on a 30 ◦ incline.
2.25 A smooth object slides down a frictionless ramp of height h. To find the distance necessary to stop the object if the coefficient of friction is μ.
2.26 Collision of a crate with a fixed spring.
2.27 Kinematics of an elastic collision.
2.28 An off-centre elastic scattering of two objects of equal mass.
2.29 Impact of a ball on a spring attached to a block placed on a smooth table.
2.30 A sphere of mass m is placed in between and collinear with two other spheres
each of mass 9 m. If the small sphere moves in line with the centres of other
two, to find number of collisions that will occur if the spheres are perfectly
elastic.
2.31 An elastic head-on collision between two particles.
2.32 An inelastic oblique collision.
2.33 A glancing elastic collision of two identical particles.
2.34 Decay of 14 C nucleus at rest.
2.35 Relation between scattering angle and recoil angle in elastic collision.
2.36 Velocity of the target particle in a glancing elastic collision.
2.37 An inelastic collision between a nucleus of mass 2 m with stationary nucleus
of mass 10 m.
2.38 Fraction of neutron’s kinetic energy in elastic head-on collision with carbon
nucleus.
2.39 In an elastic collision between a very heavy body and a very light body at rest,
the lighter body has twice the initial velocity of the heavy body.
2.40 Half of kinetic energy is lost in completely inelastic collision of one body with
one identical body at rest.
2.41 Speed of a bullet from its collision with a wooden block resting on a table.
2.42 The ratio M/m, V c , KE in CMS in elastic collision.
2.43 In an elastic collision between M and m at rest (M > m), sin θ m = m/M.
2.44 The ballistic pendulum.
2.45 Pressure exerted by fire engine jet (elastic collision with the wall).