149699 Assertion: When you lean behind over the hind legs of the chair, the chair falls back after a certain angle.
Reason: Centre of mass lying outside the system makes the system unstable.

149703 Three identical uniform thin rods each of mass ' \(m\) ' and length ' \(L\) ' are arranged in the \(X Y\) plane as shown in the figure. A fourth uniform thin rod of mass ' \(3 \mathrm{~m}\) ' is placed as shown in the figure in the XY plane. The value of length of the fourth rod such that the centre of mass of all the four rods lies at the origin is

149704 The centre of mass of a system of three particles of masses \(1 \mathrm{~g}, 2 \mathrm{~g}\) and \(3 \mathrm{~g}\) is at the origin of a co-ordinate system. If a particle of mass \(4 \mathrm{~g}\) and having position vector \(\alpha(\hat{i}+2 \hat{j}+3 \hat{k})\) is added to the three particle system, then the centre of mass of the four-particle system becomes \((1,2,3)\). The value of ' \(\alpha\) ' is

149708 Two balls are thrown simultaneously in air. The acceleration of the centre of mass of the two balls when in air :

149699 Assertion: When you lean behind over the hind legs of the chair, the chair falls back after a certain angle.
Reason: Centre of mass lying outside the system makes the system unstable.

149703 Three identical uniform thin rods each of mass ' \(m\) ' and length ' \(L\) ' are arranged in the \(X Y\) plane as shown in the figure. A fourth uniform thin rod of mass ' \(3 \mathrm{~m}\) ' is placed as shown in the figure in the XY plane. The value of length of the fourth rod such that the centre of mass of all the four rods lies at the origin is

149704 The centre of mass of a system of three particles of masses \(1 \mathrm{~g}, 2 \mathrm{~g}\) and \(3 \mathrm{~g}\) is at the origin of a co-ordinate system. If a particle of mass \(4 \mathrm{~g}\) and having position vector \(\alpha(\hat{i}+2 \hat{j}+3 \hat{k})\) is added to the three particle system, then the centre of mass of the four-particle system becomes \((1,2,3)\). The value of ' \(\alpha\) ' is

149708 Two balls are thrown simultaneously in air. The acceleration of the centre of mass of the two balls when in air :

149699 Assertion: When you lean behind over the hind legs of the chair, the chair falls back after a certain angle.
Reason: Centre of mass lying outside the system makes the system unstable.

149703 Three identical uniform thin rods each of mass ' \(m\) ' and length ' \(L\) ' are arranged in the \(X Y\) plane as shown in the figure. A fourth uniform thin rod of mass ' \(3 \mathrm{~m}\) ' is placed as shown in the figure in the XY plane. The value of length of the fourth rod such that the centre of mass of all the four rods lies at the origin is

149704 The centre of mass of a system of three particles of masses \(1 \mathrm{~g}, 2 \mathrm{~g}\) and \(3 \mathrm{~g}\) is at the origin of a co-ordinate system. If a particle of mass \(4 \mathrm{~g}\) and having position vector \(\alpha(\hat{i}+2 \hat{j}+3 \hat{k})\) is added to the three particle system, then the centre of mass of the four-particle system becomes \((1,2,3)\). The value of ' \(\alpha\) ' is

149708 Two balls are thrown simultaneously in air. The acceleration of the centre of mass of the two balls when in air :

149699 Assertion: When you lean behind over the hind legs of the chair, the chair falls back after a certain angle.
Reason: Centre of mass lying outside the system makes the system unstable.

149703 Three identical uniform thin rods each of mass ' \(m\) ' and length ' \(L\) ' are arranged in the \(X Y\) plane as shown in the figure. A fourth uniform thin rod of mass ' \(3 \mathrm{~m}\) ' is placed as shown in the figure in the XY plane. The value of length of the fourth rod such that the centre of mass of all the four rods lies at the origin is

149704 The centre of mass of a system of three particles of masses \(1 \mathrm{~g}, 2 \mathrm{~g}\) and \(3 \mathrm{~g}\) is at the origin of a co-ordinate system. If a particle of mass \(4 \mathrm{~g}\) and having position vector \(\alpha(\hat{i}+2 \hat{j}+3 \hat{k})\) is added to the three particle system, then the centre of mass of the four-particle system becomes \((1,2,3)\). The value of ' \(\alpha\) ' is

149708 Two balls are thrown simultaneously in air. The acceleration of the centre of mass of the two balls when in air :