LINEAR MOMENTUM OF CENTRE OF MASS
Rotational Motion

269432 Two objects of masses\(200 \mathrm{~g}\) and \(500 \mathrm{~g}\) have velocities of \(10 i \mathrm{~m} / \mathrm{s}\) and \((3 i+5 j) \mathrm{m} / \mathrm{s}\) respectively. The velocity of their centre of mass is

1 \(5 i-25 j\)
2 \(\frac{5}{7} i-25 j\)
3 \(5 i+\frac{25}{7} j\)
4 \(25 i-\frac{5}{7} j\)
Rotational Motion

269497 Two particles of masses" \(p\) " and " \(q\) " ( \(p\lt q\) ) are separated by a distance "d". The shift in the centre of mass when the two particles are interchanged is

1 \(d(p+q) /(p-q)\)
2 \(d(p-q) /(p+q)\)
3 \(d p /(p-q)\)
4 \(d q /(p-q)\)
Rotational Motion

269496 Two particles of equal masses have velocities \(\overrightarrow{\mathrm{v}}_{1}=4 \hat{\mathrm{i}}\) and \(\overrightarrow{\mathrm{v}}_{2}=4 \hat{\mathrm{j}}\). First particle has an acceleration \(\overrightarrow{\mathrm{a}}_{1}=(5 \hat{i}+5 \hat{j}) \mathbf{m s}^{-2}\) while the acceleration of the other particle is zero. The centre of mass of the two particles moves in a path of

1 Straight line
2 Parabola
3 Circle
4 Ellipse
Rotational Motion

269553 Two particles of equal mass have velocities \(\vec{V}_{1}=8 \hat{i}\) and \(\vec{V}_{2}=8 \hat{j}\). First particle has an acceleration \(\vec{a}_{1}=(5 \hat{i}+5 \hat{j}) \mathrm{ms}^{-2}\) while the acceleration of the other particle is zero.The centre of mass of the two particles moves is a path of

1 straight line
2 parabola
3 circle
4 ellipse
Rotational Motion

269592 Seven homogeneous bricks each of length L,mass \(M\) are arranged as shown. Projection \(x=\frac{L}{10}\) then \(x\) co-ordinate of C.M is

1 \(\frac{22}{35} L\)
2 \(\frac{32}{35} L\)
3 \(\frac{42}{35} L\)
4 \(\frac{12}{35} L\)
Rotational Motion

269432 Two objects of masses\(200 \mathrm{~g}\) and \(500 \mathrm{~g}\) have velocities of \(10 i \mathrm{~m} / \mathrm{s}\) and \((3 i+5 j) \mathrm{m} / \mathrm{s}\) respectively. The velocity of their centre of mass is

1 \(5 i-25 j\)
2 \(\frac{5}{7} i-25 j\)
3 \(5 i+\frac{25}{7} j\)
4 \(25 i-\frac{5}{7} j\)
Rotational Motion

269497 Two particles of masses" \(p\) " and " \(q\) " ( \(p\lt q\) ) are separated by a distance "d". The shift in the centre of mass when the two particles are interchanged is

1 \(d(p+q) /(p-q)\)
2 \(d(p-q) /(p+q)\)
3 \(d p /(p-q)\)
4 \(d q /(p-q)\)
Rotational Motion

269496 Two particles of equal masses have velocities \(\overrightarrow{\mathrm{v}}_{1}=4 \hat{\mathrm{i}}\) and \(\overrightarrow{\mathrm{v}}_{2}=4 \hat{\mathrm{j}}\). First particle has an acceleration \(\overrightarrow{\mathrm{a}}_{1}=(5 \hat{i}+5 \hat{j}) \mathbf{m s}^{-2}\) while the acceleration of the other particle is zero. The centre of mass of the two particles moves in a path of

1 Straight line
2 Parabola
3 Circle
4 Ellipse
Rotational Motion

269553 Two particles of equal mass have velocities \(\vec{V}_{1}=8 \hat{i}\) and \(\vec{V}_{2}=8 \hat{j}\). First particle has an acceleration \(\vec{a}_{1}=(5 \hat{i}+5 \hat{j}) \mathrm{ms}^{-2}\) while the acceleration of the other particle is zero.The centre of mass of the two particles moves is a path of

1 straight line
2 parabola
3 circle
4 ellipse
Rotational Motion

269592 Seven homogeneous bricks each of length L,mass \(M\) are arranged as shown. Projection \(x=\frac{L}{10}\) then \(x\) co-ordinate of C.M is

1 \(\frac{22}{35} L\)
2 \(\frac{32}{35} L\)
3 \(\frac{42}{35} L\)
4 \(\frac{12}{35} L\)
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Rotational Motion

269432 Two objects of masses\(200 \mathrm{~g}\) and \(500 \mathrm{~g}\) have velocities of \(10 i \mathrm{~m} / \mathrm{s}\) and \((3 i+5 j) \mathrm{m} / \mathrm{s}\) respectively. The velocity of their centre of mass is

1 \(5 i-25 j\)
2 \(\frac{5}{7} i-25 j\)
3 \(5 i+\frac{25}{7} j\)
4 \(25 i-\frac{5}{7} j\)
Rotational Motion

269497 Two particles of masses" \(p\) " and " \(q\) " ( \(p\lt q\) ) are separated by a distance "d". The shift in the centre of mass when the two particles are interchanged is

1 \(d(p+q) /(p-q)\)
2 \(d(p-q) /(p+q)\)
3 \(d p /(p-q)\)
4 \(d q /(p-q)\)
Rotational Motion

269496 Two particles of equal masses have velocities \(\overrightarrow{\mathrm{v}}_{1}=4 \hat{\mathrm{i}}\) and \(\overrightarrow{\mathrm{v}}_{2}=4 \hat{\mathrm{j}}\). First particle has an acceleration \(\overrightarrow{\mathrm{a}}_{1}=(5 \hat{i}+5 \hat{j}) \mathbf{m s}^{-2}\) while the acceleration of the other particle is zero. The centre of mass of the two particles moves in a path of

1 Straight line
2 Parabola
3 Circle
4 Ellipse
Rotational Motion

269553 Two particles of equal mass have velocities \(\vec{V}_{1}=8 \hat{i}\) and \(\vec{V}_{2}=8 \hat{j}\). First particle has an acceleration \(\vec{a}_{1}=(5 \hat{i}+5 \hat{j}) \mathrm{ms}^{-2}\) while the acceleration of the other particle is zero.The centre of mass of the two particles moves is a path of

1 straight line
2 parabola
3 circle
4 ellipse
Rotational Motion

269592 Seven homogeneous bricks each of length L,mass \(M\) are arranged as shown. Projection \(x=\frac{L}{10}\) then \(x\) co-ordinate of C.M is

1 \(\frac{22}{35} L\)
2 \(\frac{32}{35} L\)
3 \(\frac{42}{35} L\)
4 \(\frac{12}{35} L\)
Rotational Motion

269432 Two objects of masses\(200 \mathrm{~g}\) and \(500 \mathrm{~g}\) have velocities of \(10 i \mathrm{~m} / \mathrm{s}\) and \((3 i+5 j) \mathrm{m} / \mathrm{s}\) respectively. The velocity of their centre of mass is

1 \(5 i-25 j\)
2 \(\frac{5}{7} i-25 j\)
3 \(5 i+\frac{25}{7} j\)
4 \(25 i-\frac{5}{7} j\)
Rotational Motion

269497 Two particles of masses" \(p\) " and " \(q\) " ( \(p\lt q\) ) are separated by a distance "d". The shift in the centre of mass when the two particles are interchanged is

1 \(d(p+q) /(p-q)\)
2 \(d(p-q) /(p+q)\)
3 \(d p /(p-q)\)
4 \(d q /(p-q)\)
Rotational Motion

269496 Two particles of equal masses have velocities \(\overrightarrow{\mathrm{v}}_{1}=4 \hat{\mathrm{i}}\) and \(\overrightarrow{\mathrm{v}}_{2}=4 \hat{\mathrm{j}}\). First particle has an acceleration \(\overrightarrow{\mathrm{a}}_{1}=(5 \hat{i}+5 \hat{j}) \mathbf{m s}^{-2}\) while the acceleration of the other particle is zero. The centre of mass of the two particles moves in a path of

1 Straight line
2 Parabola
3 Circle
4 Ellipse
Rotational Motion

269553 Two particles of equal mass have velocities \(\vec{V}_{1}=8 \hat{i}\) and \(\vec{V}_{2}=8 \hat{j}\). First particle has an acceleration \(\vec{a}_{1}=(5 \hat{i}+5 \hat{j}) \mathrm{ms}^{-2}\) while the acceleration of the other particle is zero.The centre of mass of the two particles moves is a path of

1 straight line
2 parabola
3 circle
4 ellipse
Rotational Motion

269592 Seven homogeneous bricks each of length L,mass \(M\) are arranged as shown. Projection \(x=\frac{L}{10}\) then \(x\) co-ordinate of C.M is

1 \(\frac{22}{35} L\)
2 \(\frac{32}{35} L\)
3 \(\frac{42}{35} L\)
4 \(\frac{12}{35} L\)
Rotational Motion

269432 Two objects of masses\(200 \mathrm{~g}\) and \(500 \mathrm{~g}\) have velocities of \(10 i \mathrm{~m} / \mathrm{s}\) and \((3 i+5 j) \mathrm{m} / \mathrm{s}\) respectively. The velocity of their centre of mass is

1 \(5 i-25 j\)
2 \(\frac{5}{7} i-25 j\)
3 \(5 i+\frac{25}{7} j\)
4 \(25 i-\frac{5}{7} j\)
Rotational Motion

269497 Two particles of masses" \(p\) " and " \(q\) " ( \(p\lt q\) ) are separated by a distance "d". The shift in the centre of mass when the two particles are interchanged is

1 \(d(p+q) /(p-q)\)
2 \(d(p-q) /(p+q)\)
3 \(d p /(p-q)\)
4 \(d q /(p-q)\)
Rotational Motion

269496 Two particles of equal masses have velocities \(\overrightarrow{\mathrm{v}}_{1}=4 \hat{\mathrm{i}}\) and \(\overrightarrow{\mathrm{v}}_{2}=4 \hat{\mathrm{j}}\). First particle has an acceleration \(\overrightarrow{\mathrm{a}}_{1}=(5 \hat{i}+5 \hat{j}) \mathbf{m s}^{-2}\) while the acceleration of the other particle is zero. The centre of mass of the two particles moves in a path of

1 Straight line
2 Parabola
3 Circle
4 Ellipse
Rotational Motion

269553 Two particles of equal mass have velocities \(\vec{V}_{1}=8 \hat{i}\) and \(\vec{V}_{2}=8 \hat{j}\). First particle has an acceleration \(\vec{a}_{1}=(5 \hat{i}+5 \hat{j}) \mathrm{ms}^{-2}\) while the acceleration of the other particle is zero.The centre of mass of the two particles moves is a path of

1 straight line
2 parabola
3 circle
4 ellipse
Rotational Motion

269592 Seven homogeneous bricks each of length L,mass \(M\) are arranged as shown. Projection \(x=\frac{L}{10}\) then \(x\) co-ordinate of C.M is

1 \(\frac{22}{35} L\)
2 \(\frac{32}{35} L\)
3 \(\frac{42}{35} L\)
4 \(\frac{12}{35} L\)