00. Centre of Mass
Rotational Motion

149683 Consider a system of two particles having masses ' \(m_{1}\) ' and ' \(m_{2}\) '. If the particle of mass \(m_{1}\) is pushed towards the centre of mass of the particles through a distance ' \(d\) ', by what distance particle of mass \(m_{2}\) move so as to keep the centre of mass of particles at the original position?

1 \(\frac{m_{2}}{m_{1}} \times d\)
2 \(\frac{\mathrm{m}_{1}}{\left(\mathrm{~m}_{1} \times \mathrm{m}_{2}\right)} \times \mathrm{d}\)
3 \(\frac{\mathrm{m}_{1}}{\mathrm{~m}_{2}} \times \mathrm{d}\)
4 \(\mathrm{d}\)
Rotational Motion

149685 A point mass of \(10 \mathrm{~kg}\) is placed at the centre of earth. The weight of the point mass is

1 zero
2 \(98 \mathrm{~N}\)
3 \(49 \mathrm{~N}\)
4 \(10 \mathrm{~N}\)
Rotational Motion

149686 A disc of mass ' \(M\) ' and radius ' \(R\) ' is rotating about its own axis. If one quarter part of the disc is removed then new moment of inertia of the disc about the same axis is

1 \(\frac{2 \mathrm{MR}^{2}}{15}\)
2 \(\frac{\mathrm{MR}^{2}}{8}\)
3 \(\frac{2 \mathrm{MR}^{2}}{13}\)
4 \(\frac{3 \mathrm{MR}^{2}}{8}\)
Rotational Motion

149687 A circular hole of radius \(3 \mathrm{~cm}\) is cut out from a uniform circular dise of radius \(6 \mathrm{~cm}\). The centre of the hole is at \(3 \mathrm{~cm}\), from the centre of the original disc. The distance of centre of gravity of the resulting flat body from the centre of the original disc is

1 \(0.5 \mathrm{~cm}\)
2 \(1 \mathrm{~cm}\)
3 \(1.5 \mathrm{~cm}\)
4 \(0.75 \mathrm{~cm}\)
Rotational Motion

149683 Consider a system of two particles having masses ' \(m_{1}\) ' and ' \(m_{2}\) '. If the particle of mass \(m_{1}\) is pushed towards the centre of mass of the particles through a distance ' \(d\) ', by what distance particle of mass \(m_{2}\) move so as to keep the centre of mass of particles at the original position?

1 \(\frac{m_{2}}{m_{1}} \times d\)
2 \(\frac{\mathrm{m}_{1}}{\left(\mathrm{~m}_{1} \times \mathrm{m}_{2}\right)} \times \mathrm{d}\)
3 \(\frac{\mathrm{m}_{1}}{\mathrm{~m}_{2}} \times \mathrm{d}\)
4 \(\mathrm{d}\)
Rotational Motion

149685 A point mass of \(10 \mathrm{~kg}\) is placed at the centre of earth. The weight of the point mass is

1 zero
2 \(98 \mathrm{~N}\)
3 \(49 \mathrm{~N}\)
4 \(10 \mathrm{~N}\)
Rotational Motion

149686 A disc of mass ' \(M\) ' and radius ' \(R\) ' is rotating about its own axis. If one quarter part of the disc is removed then new moment of inertia of the disc about the same axis is

1 \(\frac{2 \mathrm{MR}^{2}}{15}\)
2 \(\frac{\mathrm{MR}^{2}}{8}\)
3 \(\frac{2 \mathrm{MR}^{2}}{13}\)
4 \(\frac{3 \mathrm{MR}^{2}}{8}\)
Rotational Motion

149687 A circular hole of radius \(3 \mathrm{~cm}\) is cut out from a uniform circular dise of radius \(6 \mathrm{~cm}\). The centre of the hole is at \(3 \mathrm{~cm}\), from the centre of the original disc. The distance of centre of gravity of the resulting flat body from the centre of the original disc is

1 \(0.5 \mathrm{~cm}\)
2 \(1 \mathrm{~cm}\)
3 \(1.5 \mathrm{~cm}\)
4 \(0.75 \mathrm{~cm}\)
Rotational Motion

149683 Consider a system of two particles having masses ' \(m_{1}\) ' and ' \(m_{2}\) '. If the particle of mass \(m_{1}\) is pushed towards the centre of mass of the particles through a distance ' \(d\) ', by what distance particle of mass \(m_{2}\) move so as to keep the centre of mass of particles at the original position?

1 \(\frac{m_{2}}{m_{1}} \times d\)
2 \(\frac{\mathrm{m}_{1}}{\left(\mathrm{~m}_{1} \times \mathrm{m}_{2}\right)} \times \mathrm{d}\)
3 \(\frac{\mathrm{m}_{1}}{\mathrm{~m}_{2}} \times \mathrm{d}\)
4 \(\mathrm{d}\)
Rotational Motion

149685 A point mass of \(10 \mathrm{~kg}\) is placed at the centre of earth. The weight of the point mass is

1 zero
2 \(98 \mathrm{~N}\)
3 \(49 \mathrm{~N}\)
4 \(10 \mathrm{~N}\)
Rotational Motion

149686 A disc of mass ' \(M\) ' and radius ' \(R\) ' is rotating about its own axis. If one quarter part of the disc is removed then new moment of inertia of the disc about the same axis is

1 \(\frac{2 \mathrm{MR}^{2}}{15}\)
2 \(\frac{\mathrm{MR}^{2}}{8}\)
3 \(\frac{2 \mathrm{MR}^{2}}{13}\)
4 \(\frac{3 \mathrm{MR}^{2}}{8}\)
Rotational Motion

149687 A circular hole of radius \(3 \mathrm{~cm}\) is cut out from a uniform circular dise of radius \(6 \mathrm{~cm}\). The centre of the hole is at \(3 \mathrm{~cm}\), from the centre of the original disc. The distance of centre of gravity of the resulting flat body from the centre of the original disc is

1 \(0.5 \mathrm{~cm}\)
2 \(1 \mathrm{~cm}\)
3 \(1.5 \mathrm{~cm}\)
4 \(0.75 \mathrm{~cm}\)
Rotational Motion

149683 Consider a system of two particles having masses ' \(m_{1}\) ' and ' \(m_{2}\) '. If the particle of mass \(m_{1}\) is pushed towards the centre of mass of the particles through a distance ' \(d\) ', by what distance particle of mass \(m_{2}\) move so as to keep the centre of mass of particles at the original position?

1 \(\frac{m_{2}}{m_{1}} \times d\)
2 \(\frac{\mathrm{m}_{1}}{\left(\mathrm{~m}_{1} \times \mathrm{m}_{2}\right)} \times \mathrm{d}\)
3 \(\frac{\mathrm{m}_{1}}{\mathrm{~m}_{2}} \times \mathrm{d}\)
4 \(\mathrm{d}\)
Rotational Motion

149685 A point mass of \(10 \mathrm{~kg}\) is placed at the centre of earth. The weight of the point mass is

1 zero
2 \(98 \mathrm{~N}\)
3 \(49 \mathrm{~N}\)
4 \(10 \mathrm{~N}\)
Rotational Motion

149686 A disc of mass ' \(M\) ' and radius ' \(R\) ' is rotating about its own axis. If one quarter part of the disc is removed then new moment of inertia of the disc about the same axis is

1 \(\frac{2 \mathrm{MR}^{2}}{15}\)
2 \(\frac{\mathrm{MR}^{2}}{8}\)
3 \(\frac{2 \mathrm{MR}^{2}}{13}\)
4 \(\frac{3 \mathrm{MR}^{2}}{8}\)
Rotational Motion

149687 A circular hole of radius \(3 \mathrm{~cm}\) is cut out from a uniform circular dise of radius \(6 \mathrm{~cm}\). The centre of the hole is at \(3 \mathrm{~cm}\), from the centre of the original disc. The distance of centre of gravity of the resulting flat body from the centre of the original disc is

1 \(0.5 \mathrm{~cm}\)
2 \(1 \mathrm{~cm}\)
3 \(1.5 \mathrm{~cm}\)
4 \(0.75 \mathrm{~cm}\)