Two small balls are fixed at the ends of a light rigid rod of length $0.4\ m$.The system is released from height $h = 5\ m$ with rod horizontal. The balls collide with the horizontal surface and rebound . The coefficient of restitution between $A$ and ground is $0. 6$ and that between $B$ and ground is $0.4$ . Find angular speed (in $rad/s$) just after the collision. Taking acceleration of free fall $10\ m/s^2$
Two small balls are fixed at the ends of a light rigid rod of length $0.4\ m$.The system is released from height $h = 5\ m$ with rod horizontal. The balls collide with the horizontal surface and rebound . The coefficient of restitution between $A$ and ground is $0. 6$ and that between $B$ and ground is $0.4$ . Find angular speed (in $rad/s$) just after the collision. Taking acceleration of free fall $10\ m/s^2$
- A
$0$
- B
$2.5$
- C
$5$
- D
$9$
Similar Questions
A point mass of $1 \mathrm{~kg}$ collides elastically with a stationary point mass of $5 \mathrm{~kg}$. After their collision, the $1 \mathrm{~kg}$ mass reverses its direction and moves with a speed of $2 \mathrm{~ms}^{-1}$. Which of the following statement(s) is (are) correct for the system of these two masses?
$(A)$ Total momentum of the system is $3 \mathrm{~kg} \mathrm{~ms}^{-1}$
$(B)$ Momentum of $5 \mathrm{~kg}$ mass after collision is $4 \mathrm{~kg} \mathrm{~ms}^{-1}$
$(C)$ Kinetic energy of the centre of mass is $0.75 \mathrm{~J}$
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A point mass of $1 \mathrm{~kg}$ collides elastically with a stationary point mass of $5 \mathrm{~kg}$. After their collision, the $1 \mathrm{~kg}$ mass reverses its direction and moves with a speed of $2 \mathrm{~ms}^{-1}$. Which of the following statement(s) is (are) correct for the system of these two masses?
$(A)$ Total momentum of the system is $3 \mathrm{~kg} \mathrm{~ms}^{-1}$
$(B)$ Momentum of $5 \mathrm{~kg}$ mass after collision is $4 \mathrm{~kg} \mathrm{~ms}^{-1}$
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$(D)$ Total kinetic energy of the system is $4 \mathrm{~J}$
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