365711 Two masses \({m_1} = 1\;kg\) and \({m_2} = 2\;kg\) are connected by a light inextensible string and suspended by means of a weightless pulley as shown in the figure. Assuming that both the masses start from rest, the distance travelled by the centre of mass in two seconds is (Take \(\left. {g = 10\,m{s^{ - 2}}} \right)\)

365712 Two particles of equal masses have velocity \(\overrightarrow {{v_1}} = 2\hat i\;m/s\) and \(\overrightarrow {{v_1}} = 2\hat i\;m/s\). The first particle has an acceleration \(\overrightarrow {{a_1}} = (3\hat i + 3\hat j)m/{s^2}\) while the acceleration of the other particle is zero. The centre of mass of the two particles moves in a:

365713 The velocity of the \(CM\) of a system changes from \(\overrightarrow {{v_1}} = 4\hat i\;\,m/s\) to \(\overrightarrow {{v_2}} = 3\hat j\;\,m/s\) during time \(\Delta t=2 s\). If the mass of the system is \(m = 10\;kg\), the constant force acting on the system is:

365714 Hundred balls of different masses are thrown at different instants up against gravity. While all balls are in air, the centre of mass of the system of balls has an acceleration

365711 Two masses \({m_1} = 1\;kg\) and \({m_2} = 2\;kg\) are connected by a light inextensible string and suspended by means of a weightless pulley as shown in the figure. Assuming that both the masses start from rest, the distance travelled by the centre of mass in two seconds is (Take \(\left. {g = 10\,m{s^{ - 2}}} \right)\)

365712 Two particles of equal masses have velocity \(\overrightarrow {{v_1}} = 2\hat i\;m/s\) and \(\overrightarrow {{v_1}} = 2\hat i\;m/s\). The first particle has an acceleration \(\overrightarrow {{a_1}} = (3\hat i + 3\hat j)m/{s^2}\) while the acceleration of the other particle is zero. The centre of mass of the two particles moves in a:

365713 The velocity of the \(CM\) of a system changes from \(\overrightarrow {{v_1}} = 4\hat i\;\,m/s\) to \(\overrightarrow {{v_2}} = 3\hat j\;\,m/s\) during time \(\Delta t=2 s\). If the mass of the system is \(m = 10\;kg\), the constant force acting on the system is:

365714 Hundred balls of different masses are thrown at different instants up against gravity. While all balls are in air, the centre of mass of the system of balls has an acceleration

365711 Two masses \({m_1} = 1\;kg\) and \({m_2} = 2\;kg\) are connected by a light inextensible string and suspended by means of a weightless pulley as shown in the figure. Assuming that both the masses start from rest, the distance travelled by the centre of mass in two seconds is (Take \(\left. {g = 10\,m{s^{ - 2}}} \right)\)

365712 Two particles of equal masses have velocity \(\overrightarrow {{v_1}} = 2\hat i\;m/s\) and \(\overrightarrow {{v_1}} = 2\hat i\;m/s\). The first particle has an acceleration \(\overrightarrow {{a_1}} = (3\hat i + 3\hat j)m/{s^2}\) while the acceleration of the other particle is zero. The centre of mass of the two particles moves in a:

365713 The velocity of the \(CM\) of a system changes from \(\overrightarrow {{v_1}} = 4\hat i\;\,m/s\) to \(\overrightarrow {{v_2}} = 3\hat j\;\,m/s\) during time \(\Delta t=2 s\). If the mass of the system is \(m = 10\;kg\), the constant force acting on the system is:

365714 Hundred balls of different masses are thrown at different instants up against gravity. While all balls are in air, the centre of mass of the system of balls has an acceleration

365711 Two masses \({m_1} = 1\;kg\) and \({m_2} = 2\;kg\) are connected by a light inextensible string and suspended by means of a weightless pulley as shown in the figure. Assuming that both the masses start from rest, the distance travelled by the centre of mass in two seconds is (Take \(\left. {g = 10\,m{s^{ - 2}}} \right)\)

365712 Two particles of equal masses have velocity \(\overrightarrow {{v_1}} = 2\hat i\;m/s\) and \(\overrightarrow {{v_1}} = 2\hat i\;m/s\). The first particle has an acceleration \(\overrightarrow {{a_1}} = (3\hat i + 3\hat j)m/{s^2}\) while the acceleration of the other particle is zero. The centre of mass of the two particles moves in a:

365713 The velocity of the \(CM\) of a system changes from \(\overrightarrow {{v_1}} = 4\hat i\;\,m/s\) to \(\overrightarrow {{v_2}} = 3\hat j\;\,m/s\) during time \(\Delta t=2 s\). If the mass of the system is \(m = 10\;kg\), the constant force acting on the system is:

365714 Hundred balls of different masses are thrown at different instants up against gravity. While all balls are in air, the centre of mass of the system of balls has an acceleration