149713 A body weighs \(8 \mathrm{~g}\) when placed in one pan and \(18 \mathrm{~g}\) when placed on the other pan of a false balance. If the beam is horizontal when both the pans are empty, then the true weight of the body is

149714 Three identical spheres of mass \(m\) each are placed at the corners of an equilateral triangle of side \(2 \mathrm{~m}\). Taking one of the corner as the origin, the position vector of the centre of mass is

149715 Two blocks of masses \(6 \mathrm{~kg}\) and \(4 \mathrm{~kg}\) are placed on a frictionless surface and connected by a spring. If the heavier mass is given a velocity of \(14 \mathrm{~ms}^{-1}\) in the direction of lighter one, then the velocity gained by the centre of mass will be

149717 The centre of mass of three particles of masses \(1 \mathrm{~kg}, 2 \mathrm{~kg}\) and \(3 \mathrm{~kg}\) is at \((3,3,3)\) with reference to a fixed coordinate system. Where should a fourth particle of mass \(4 \mathrm{~kg}\) be placed, so that the centre of mass of the system of all particles shifts to a point \((1,1,1)\) ?

149718 A small disc of radius \(2 \mathrm{~cm}\) is cut from a disc of radius \(6 \mathrm{~cm}\). If the distance between their centers is \(3.2 \mathrm{~cm}\), what is the shift in the centre of mass of the disc?

149713 A body weighs \(8 \mathrm{~g}\) when placed in one pan and \(18 \mathrm{~g}\) when placed on the other pan of a false balance. If the beam is horizontal when both the pans are empty, then the true weight of the body is

149714 Three identical spheres of mass \(m\) each are placed at the corners of an equilateral triangle of side \(2 \mathrm{~m}\). Taking one of the corner as the origin, the position vector of the centre of mass is

149715 Two blocks of masses \(6 \mathrm{~kg}\) and \(4 \mathrm{~kg}\) are placed on a frictionless surface and connected by a spring. If the heavier mass is given a velocity of \(14 \mathrm{~ms}^{-1}\) in the direction of lighter one, then the velocity gained by the centre of mass will be

149717 The centre of mass of three particles of masses \(1 \mathrm{~kg}, 2 \mathrm{~kg}\) and \(3 \mathrm{~kg}\) is at \((3,3,3)\) with reference to a fixed coordinate system. Where should a fourth particle of mass \(4 \mathrm{~kg}\) be placed, so that the centre of mass of the system of all particles shifts to a point \((1,1,1)\) ?

149718 A small disc of radius \(2 \mathrm{~cm}\) is cut from a disc of radius \(6 \mathrm{~cm}\). If the distance between their centers is \(3.2 \mathrm{~cm}\), what is the shift in the centre of mass of the disc?

149713 A body weighs \(8 \mathrm{~g}\) when placed in one pan and \(18 \mathrm{~g}\) when placed on the other pan of a false balance. If the beam is horizontal when both the pans are empty, then the true weight of the body is

149714 Three identical spheres of mass \(m\) each are placed at the corners of an equilateral triangle of side \(2 \mathrm{~m}\). Taking one of the corner as the origin, the position vector of the centre of mass is

149715 Two blocks of masses \(6 \mathrm{~kg}\) and \(4 \mathrm{~kg}\) are placed on a frictionless surface and connected by a spring. If the heavier mass is given a velocity of \(14 \mathrm{~ms}^{-1}\) in the direction of lighter one, then the velocity gained by the centre of mass will be

149717 The centre of mass of three particles of masses \(1 \mathrm{~kg}, 2 \mathrm{~kg}\) and \(3 \mathrm{~kg}\) is at \((3,3,3)\) with reference to a fixed coordinate system. Where should a fourth particle of mass \(4 \mathrm{~kg}\) be placed, so that the centre of mass of the system of all particles shifts to a point \((1,1,1)\) ?

149718 A small disc of radius \(2 \mathrm{~cm}\) is cut from a disc of radius \(6 \mathrm{~cm}\). If the distance between their centers is \(3.2 \mathrm{~cm}\), what is the shift in the centre of mass of the disc?

149713 A body weighs \(8 \mathrm{~g}\) when placed in one pan and \(18 \mathrm{~g}\) when placed on the other pan of a false balance. If the beam is horizontal when both the pans are empty, then the true weight of the body is

149714 Three identical spheres of mass \(m\) each are placed at the corners of an equilateral triangle of side \(2 \mathrm{~m}\). Taking one of the corner as the origin, the position vector of the centre of mass is

149715 Two blocks of masses \(6 \mathrm{~kg}\) and \(4 \mathrm{~kg}\) are placed on a frictionless surface and connected by a spring. If the heavier mass is given a velocity of \(14 \mathrm{~ms}^{-1}\) in the direction of lighter one, then the velocity gained by the centre of mass will be

149717 The centre of mass of three particles of masses \(1 \mathrm{~kg}, 2 \mathrm{~kg}\) and \(3 \mathrm{~kg}\) is at \((3,3,3)\) with reference to a fixed coordinate system. Where should a fourth particle of mass \(4 \mathrm{~kg}\) be placed, so that the centre of mass of the system of all particles shifts to a point \((1,1,1)\) ?

149718 A small disc of radius \(2 \mathrm{~cm}\) is cut from a disc of radius \(6 \mathrm{~cm}\). If the distance between their centers is \(3.2 \mathrm{~cm}\), what is the shift in the centre of mass of the disc?

149713 A body weighs \(8 \mathrm{~g}\) when placed in one pan and \(18 \mathrm{~g}\) when placed on the other pan of a false balance. If the beam is horizontal when both the pans are empty, then the true weight of the body is

149714 Three identical spheres of mass \(m\) each are placed at the corners of an equilateral triangle of side \(2 \mathrm{~m}\). Taking one of the corner as the origin, the position vector of the centre of mass is

149715 Two blocks of masses \(6 \mathrm{~kg}\) and \(4 \mathrm{~kg}\) are placed on a frictionless surface and connected by a spring. If the heavier mass is given a velocity of \(14 \mathrm{~ms}^{-1}\) in the direction of lighter one, then the velocity gained by the centre of mass will be

149717 The centre of mass of three particles of masses \(1 \mathrm{~kg}, 2 \mathrm{~kg}\) and \(3 \mathrm{~kg}\) is at \((3,3,3)\) with reference to a fixed coordinate system. Where should a fourth particle of mass \(4 \mathrm{~kg}\) be placed, so that the centre of mass of the system of all particles shifts to a point \((1,1,1)\) ?

149718 A small disc of radius \(2 \mathrm{~cm}\) is cut from a disc of radius \(6 \mathrm{~cm}\). If the distance between their centers is \(3.2 \mathrm{~cm}\), what is the shift in the centre of mass of the disc?