Problem Index
773
2.46 Pressure exerted by fire engine jet (inelastic collision with the wall).
2.47 Symmetric elastic scattering of one ball with another identical ball at rest.
2.48 Total time for a ball dropped from a height h on a fixed plane to come to rest.
2.49 In prob. (2.48) total distance travelled.
2.50 In prob. (2.48) the height to which the ball goes up in the nth rebound.
2.51 For inelastic collision energy that is wasted is proportional to the square of the
relative velocity of approach.
2.52 Magnitude of change in initial and final momentum in projectile’s motion.
2.53 Explosion of a shell into three fragments at the highest point of trajectory.
2.54 Hovering of a helicopter.
2.55 Firing of a machine gun.
2.56 Scale reading of a balance pan when particles fall from a height and make
elastic collisions with the pan.
2.57 In prob. (2.56) collisions are completely inelastic.
2.58 A partly elastic collision.
2.59 Acceleration of a car in a boat.
2.60 Minimum exhaust velocity for rocket to lift off immediately after firing.
2.61 Rate of fuel consumption to produce desired acceleration.
2.62 The rocket thrust, initial net acceleration, burn out velocity and time to reach
burn-out velocity for Centaur rocket.
2.63 Rate of ejection of gas to provide necessary thrust.
2.64 Equation of motion for sliding of a rope over the edge of a table and its solution.
2.65 Variable mass problem applied to a running open car on horizontal rail under
rain falling vertically down.
2.66 Pressure exerted by a falling chain on a table.
2.67 Velocity of rain drops.
Chapter 3
Rotational Kinematics
3.1 Given the parametric equations to find the path.
3.2 Given a = f (r, t) in a circular orbit, to find power.
3.3 To find v where r = 3 m, r = 5 m/s and ω = 4 rad/s.
3.4 A point moves along a circle of r = 40 cm. Time needed for a N = a t .
3.5 A point moves along a circle of r = 4 cm. Given x = 0.3t 3 , to find a N and a t
when v = 0.4 m/s.
3.6 (a) Expression for r in polar form and (b) a is directed towards centre of circular
motion.
3.7 ∝ of a wheel if a (total) of a point on the rim forms an angle of 30 ◦ with v in
t = 1.0 s.
3.8 A wheel rotates with constant acceleration α = 3 rad/s
2 . a(total) =
12
√
10 cm/s 2 , to find R.
773
2.46 Pressure exerted by fire engine jet (inelastic collision with the wall).
2.47 Symmetric elastic scattering of one ball with another identical ball at rest.
2.48 Total time for a ball dropped from a height h on a fixed plane to come to rest.
2.49 In prob. (2.48) total distance travelled.
2.50 In prob. (2.48) the height to which the ball goes up in the nth rebound.
2.51 For inelastic collision energy that is wasted is proportional to the square of the
relative velocity of approach.
2.52 Magnitude of change in initial and final momentum in projectile’s motion.
2.53 Explosion of a shell into three fragments at the highest point of trajectory.
2.54 Hovering of a helicopter.
2.55 Firing of a machine gun.
2.56 Scale reading of a balance pan when particles fall from a height and make
elastic collisions with the pan.
2.57 In prob. (2.56) collisions are completely inelastic.
2.58 A partly elastic collision.
2.59 Acceleration of a car in a boat.
2.60 Minimum exhaust velocity for rocket to lift off immediately after firing.
2.61 Rate of fuel consumption to produce desired acceleration.
2.62 The rocket thrust, initial net acceleration, burn out velocity and time to reach
burn-out velocity for Centaur rocket.
2.63 Rate of ejection of gas to provide necessary thrust.
2.64 Equation of motion for sliding of a rope over the edge of a table and its solution.
2.65 Variable mass problem applied to a running open car on horizontal rail under
rain falling vertically down.
2.66 Pressure exerted by a falling chain on a table.
2.67 Velocity of rain drops.
Chapter 3
Rotational Kinematics
3.1 Given the parametric equations to find the path.
3.2 Given a = f (r, t) in a circular orbit, to find power.
3.3 To find v where r = 3 m, r = 5 m/s and ω = 4 rad/s.
3.4 A point moves along a circle of r = 40 cm. Time needed for a N = a t .
3.5 A point moves along a circle of r = 4 cm. Given x = 0.3t 3 , to find a N and a t
when v = 0.4 m/s.
3.6 (a) Expression for r in polar form and (b) a is directed towards centre of circular
motion.
3.7 ∝ of a wheel if a (total) of a point on the rim forms an angle of 30 ◦ with v in
t = 1.0 s.
3.8 A wheel rotates with constant acceleration α = 3 rad/s
2 . a(total) =
12
√
10 cm/s 2 , to find R.