Centre of Mass
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365706 Two balls are thrown simultaneously in air. The acceleration of the centre of mass of the two balls while in air

1 Is equal to \(g\)
2 Is equal to \(g / 2\)
3 Depends on the masses of the two balls
4 Depends on the direction of motion of the two balls
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365707 A system consists of two identical particles. One particle is at rest and other particle has an acceleration \(a\). The centre of mass of the system has an acceleration of

1 \(2 a\)
2 \(a / 2\)
3 \(a\)
4 \(2 a / 3\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365708 If \(M\) is the mass of a system and \(\bar{a}_{c m}\) be the acceleration of its centre of mass the incorrect equations

1 \(M \vec{a}_{c m}=\Sigma \vec{F}_{e x t}+\sum \vec{F}_{\text {int }}\)
2 \(M \vec{a}_{c m}=\Sigma \vec{F}_{\text {ext }}-\Sigma \vec{F}_{\text {int }}\)
3 \(M \vec{a}_{c m}=\Sigma \vec{F}_{e x t}\)
4 \(M \vec{a}_{c m}=\Sigma \vec{F}_{\text {int }}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365709 Two blocks \(A\) and \(B\) each of equal masses \(m\) are released from the top of a smooth fixed wedge as shown in the figure. Find the magnitude of the acceleration of the centre of mass of the two blocks. Take \(g=10 {~m} / {s}^{2}\)
supporting img

1 \(5.0\,m/{s^2}\)
2 \(1.0\,m/{s^2}\)
3 \(8.0\,m/{s^2}\)
4 \(3.0\,m/{s^2}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365710 Two particles of masses \(4\,kg\) and \(6\,kg\) are approaching towards each other with accelerations of \({2 {~m} / {s}^{2}}\) and \({3 {~m} / {s}^{2}}\) respectively, on a smooth horizontal surface. Find the magnitude of acceleration of centre of mass of the system.

1 \({1 {~m} / {s}^{2}}\)
2 \({2 {~m} / {s}^{2}}\)
3 \({3 m / s^{2}}\)
4 \({4 {~m} / {s}^{2}}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365706 Two balls are thrown simultaneously in air. The acceleration of the centre of mass of the two balls while in air

1 Is equal to \(g\)
2 Is equal to \(g / 2\)
3 Depends on the masses of the two balls
4 Depends on the direction of motion of the two balls
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365707 A system consists of two identical particles. One particle is at rest and other particle has an acceleration \(a\). The centre of mass of the system has an acceleration of

1 \(2 a\)
2 \(a / 2\)
3 \(a\)
4 \(2 a / 3\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365708 If \(M\) is the mass of a system and \(\bar{a}_{c m}\) be the acceleration of its centre of mass the incorrect equations

1 \(M \vec{a}_{c m}=\Sigma \vec{F}_{e x t}+\sum \vec{F}_{\text {int }}\)
2 \(M \vec{a}_{c m}=\Sigma \vec{F}_{\text {ext }}-\Sigma \vec{F}_{\text {int }}\)
3 \(M \vec{a}_{c m}=\Sigma \vec{F}_{e x t}\)
4 \(M \vec{a}_{c m}=\Sigma \vec{F}_{\text {int }}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365709 Two blocks \(A\) and \(B\) each of equal masses \(m\) are released from the top of a smooth fixed wedge as shown in the figure. Find the magnitude of the acceleration of the centre of mass of the two blocks. Take \(g=10 {~m} / {s}^{2}\)
supporting img

1 \(5.0\,m/{s^2}\)
2 \(1.0\,m/{s^2}\)
3 \(8.0\,m/{s^2}\)
4 \(3.0\,m/{s^2}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365710 Two particles of masses \(4\,kg\) and \(6\,kg\) are approaching towards each other with accelerations of \({2 {~m} / {s}^{2}}\) and \({3 {~m} / {s}^{2}}\) respectively, on a smooth horizontal surface. Find the magnitude of acceleration of centre of mass of the system.

1 \({1 {~m} / {s}^{2}}\)
2 \({2 {~m} / {s}^{2}}\)
3 \({3 m / s^{2}}\)
4 \({4 {~m} / {s}^{2}}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365706 Two balls are thrown simultaneously in air. The acceleration of the centre of mass of the two balls while in air

1 Is equal to \(g\)
2 Is equal to \(g / 2\)
3 Depends on the masses of the two balls
4 Depends on the direction of motion of the two balls
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365707 A system consists of two identical particles. One particle is at rest and other particle has an acceleration \(a\). The centre of mass of the system has an acceleration of

1 \(2 a\)
2 \(a / 2\)
3 \(a\)
4 \(2 a / 3\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365708 If \(M\) is the mass of a system and \(\bar{a}_{c m}\) be the acceleration of its centre of mass the incorrect equations

1 \(M \vec{a}_{c m}=\Sigma \vec{F}_{e x t}+\sum \vec{F}_{\text {int }}\)
2 \(M \vec{a}_{c m}=\Sigma \vec{F}_{\text {ext }}-\Sigma \vec{F}_{\text {int }}\)
3 \(M \vec{a}_{c m}=\Sigma \vec{F}_{e x t}\)
4 \(M \vec{a}_{c m}=\Sigma \vec{F}_{\text {int }}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365709 Two blocks \(A\) and \(B\) each of equal masses \(m\) are released from the top of a smooth fixed wedge as shown in the figure. Find the magnitude of the acceleration of the centre of mass of the two blocks. Take \(g=10 {~m} / {s}^{2}\)
supporting img

1 \(5.0\,m/{s^2}\)
2 \(1.0\,m/{s^2}\)
3 \(8.0\,m/{s^2}\)
4 \(3.0\,m/{s^2}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365710 Two particles of masses \(4\,kg\) and \(6\,kg\) are approaching towards each other with accelerations of \({2 {~m} / {s}^{2}}\) and \({3 {~m} / {s}^{2}}\) respectively, on a smooth horizontal surface. Find the magnitude of acceleration of centre of mass of the system.

1 \({1 {~m} / {s}^{2}}\)
2 \({2 {~m} / {s}^{2}}\)
3 \({3 m / s^{2}}\)
4 \({4 {~m} / {s}^{2}}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365706 Two balls are thrown simultaneously in air. The acceleration of the centre of mass of the two balls while in air

1 Is equal to \(g\)
2 Is equal to \(g / 2\)
3 Depends on the masses of the two balls
4 Depends on the direction of motion of the two balls
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365707 A system consists of two identical particles. One particle is at rest and other particle has an acceleration \(a\). The centre of mass of the system has an acceleration of

1 \(2 a\)
2 \(a / 2\)
3 \(a\)
4 \(2 a / 3\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365708 If \(M\) is the mass of a system and \(\bar{a}_{c m}\) be the acceleration of its centre of mass the incorrect equations

1 \(M \vec{a}_{c m}=\Sigma \vec{F}_{e x t}+\sum \vec{F}_{\text {int }}\)
2 \(M \vec{a}_{c m}=\Sigma \vec{F}_{\text {ext }}-\Sigma \vec{F}_{\text {int }}\)
3 \(M \vec{a}_{c m}=\Sigma \vec{F}_{e x t}\)
4 \(M \vec{a}_{c m}=\Sigma \vec{F}_{\text {int }}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365709 Two blocks \(A\) and \(B\) each of equal masses \(m\) are released from the top of a smooth fixed wedge as shown in the figure. Find the magnitude of the acceleration of the centre of mass of the two blocks. Take \(g=10 {~m} / {s}^{2}\)
supporting img

1 \(5.0\,m/{s^2}\)
2 \(1.0\,m/{s^2}\)
3 \(8.0\,m/{s^2}\)
4 \(3.0\,m/{s^2}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365710 Two particles of masses \(4\,kg\) and \(6\,kg\) are approaching towards each other with accelerations of \({2 {~m} / {s}^{2}}\) and \({3 {~m} / {s}^{2}}\) respectively, on a smooth horizontal surface. Find the magnitude of acceleration of centre of mass of the system.

1 \({1 {~m} / {s}^{2}}\)
2 \({2 {~m} / {s}^{2}}\)
3 \({3 m / s^{2}}\)
4 \({4 {~m} / {s}^{2}}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365706 Two balls are thrown simultaneously in air. The acceleration of the centre of mass of the two balls while in air

1 Is equal to \(g\)
2 Is equal to \(g / 2\)
3 Depends on the masses of the two balls
4 Depends on the direction of motion of the two balls
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365707 A system consists of two identical particles. One particle is at rest and other particle has an acceleration \(a\). The centre of mass of the system has an acceleration of

1 \(2 a\)
2 \(a / 2\)
3 \(a\)
4 \(2 a / 3\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365708 If \(M\) is the mass of a system and \(\bar{a}_{c m}\) be the acceleration of its centre of mass the incorrect equations

1 \(M \vec{a}_{c m}=\Sigma \vec{F}_{e x t}+\sum \vec{F}_{\text {int }}\)
2 \(M \vec{a}_{c m}=\Sigma \vec{F}_{\text {ext }}-\Sigma \vec{F}_{\text {int }}\)
3 \(M \vec{a}_{c m}=\Sigma \vec{F}_{e x t}\)
4 \(M \vec{a}_{c m}=\Sigma \vec{F}_{\text {int }}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365709 Two blocks \(A\) and \(B\) each of equal masses \(m\) are released from the top of a smooth fixed wedge as shown in the figure. Find the magnitude of the acceleration of the centre of mass of the two blocks. Take \(g=10 {~m} / {s}^{2}\)
supporting img

1 \(5.0\,m/{s^2}\)
2 \(1.0\,m/{s^2}\)
3 \(8.0\,m/{s^2}\)
4 \(3.0\,m/{s^2}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365710 Two particles of masses \(4\,kg\) and \(6\,kg\) are approaching towards each other with accelerations of \({2 {~m} / {s}^{2}}\) and \({3 {~m} / {s}^{2}}\) respectively, on a smooth horizontal surface. Find the magnitude of acceleration of centre of mass of the system.

1 \({1 {~m} / {s}^{2}}\)
2 \({2 {~m} / {s}^{2}}\)
3 \({3 m / s^{2}}\)
4 \({4 {~m} / {s}^{2}}\)