LINEAR MOMENTUM OF CENTRE OF MASS
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Rotational Motion

269368 A thin uniform rod of length" \(L\) " is bent at its mid point as shown in the figure. The distance of the centre of mass from the point " \(O\) " is

1 \(\frac{L}{2} \sin \frac{\theta}{2}\)
2 \(\frac{L}{2} \cos \frac{\theta}{2}\)
3 \(\frac{L}{4} \sin \frac{\theta}{2}\)
4 \(\frac{L}{4} \cos \frac{\theta}{2}\)
Rotational Motion

269369 Three identical spheres each of mass ' \(m\) ' and radius ' \(R\) ' are placed touching each other so that theircentres \(A, B\) and \(C\) lie on a straight line. The position of their centre of mass from centre of \(A\) is

1 \(\frac{2 R}{3}\)
2 \(2 R\)
3 \(\frac{5 R}{3}\)
4 \(\frac{4 R}{3}\)
Rotational Motion

269370 A boy of mass\(50 \mathrm{~kg}\) is standing at one end of a boat of length \(9 \mathrm{~m}\) and mass \(400 \mathrm{~kg}\). He runs to the other end. The distance through which the centre of mass of the boat boy system moves is

1 0
2 \(1 \mathrm{~m}\)
3 \(2 \mathrm{~m}\)
4 \(3 \mathrm{~m}\)
Rotational Motion

269371 A dog weighing\(5 \mathrm{~kg}\) is standing on a flat boat so that it is 10 metres from the shore. It walks \(4 \mathrm{~m}\) on the boat towards the shore and then halts. The boat weighs \(20 \mathrm{~kg}\) and one can assume that there is no friction between it and water. The dog from the shore at the end of this time is

1 \(3.4 \mathrm{~m}\)
2 \(6.8 \mathrm{~m}\)
3 \(12.6 \mathrm{~m}\)
4 \(10 \mathrm{~m}\)
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Rotational Motion

269368 A thin uniform rod of length" \(L\) " is bent at its mid point as shown in the figure. The distance of the centre of mass from the point " \(O\) " is

1 \(\frac{L}{2} \sin \frac{\theta}{2}\)
2 \(\frac{L}{2} \cos \frac{\theta}{2}\)
3 \(\frac{L}{4} \sin \frac{\theta}{2}\)
4 \(\frac{L}{4} \cos \frac{\theta}{2}\)
Rotational Motion

269369 Three identical spheres each of mass ' \(m\) ' and radius ' \(R\) ' are placed touching each other so that theircentres \(A, B\) and \(C\) lie on a straight line. The position of their centre of mass from centre of \(A\) is

1 \(\frac{2 R}{3}\)
2 \(2 R\)
3 \(\frac{5 R}{3}\)
4 \(\frac{4 R}{3}\)
Rotational Motion

269370 A boy of mass\(50 \mathrm{~kg}\) is standing at one end of a boat of length \(9 \mathrm{~m}\) and mass \(400 \mathrm{~kg}\). He runs to the other end. The distance through which the centre of mass of the boat boy system moves is

1 0
2 \(1 \mathrm{~m}\)
3 \(2 \mathrm{~m}\)
4 \(3 \mathrm{~m}\)
Rotational Motion

269371 A dog weighing\(5 \mathrm{~kg}\) is standing on a flat boat so that it is 10 metres from the shore. It walks \(4 \mathrm{~m}\) on the boat towards the shore and then halts. The boat weighs \(20 \mathrm{~kg}\) and one can assume that there is no friction between it and water. The dog from the shore at the end of this time is

1 \(3.4 \mathrm{~m}\)
2 \(6.8 \mathrm{~m}\)
3 \(12.6 \mathrm{~m}\)
4 \(10 \mathrm{~m}\)
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Rotational Motion

269368 A thin uniform rod of length" \(L\) " is bent at its mid point as shown in the figure. The distance of the centre of mass from the point " \(O\) " is

1 \(\frac{L}{2} \sin \frac{\theta}{2}\)
2 \(\frac{L}{2} \cos \frac{\theta}{2}\)
3 \(\frac{L}{4} \sin \frac{\theta}{2}\)
4 \(\frac{L}{4} \cos \frac{\theta}{2}\)
Rotational Motion

269369 Three identical spheres each of mass ' \(m\) ' and radius ' \(R\) ' are placed touching each other so that theircentres \(A, B\) and \(C\) lie on a straight line. The position of their centre of mass from centre of \(A\) is

1 \(\frac{2 R}{3}\)
2 \(2 R\)
3 \(\frac{5 R}{3}\)
4 \(\frac{4 R}{3}\)
Rotational Motion

269370 A boy of mass\(50 \mathrm{~kg}\) is standing at one end of a boat of length \(9 \mathrm{~m}\) and mass \(400 \mathrm{~kg}\). He runs to the other end. The distance through which the centre of mass of the boat boy system moves is

1 0
2 \(1 \mathrm{~m}\)
3 \(2 \mathrm{~m}\)
4 \(3 \mathrm{~m}\)
Rotational Motion

269371 A dog weighing\(5 \mathrm{~kg}\) is standing on a flat boat so that it is 10 metres from the shore. It walks \(4 \mathrm{~m}\) on the boat towards the shore and then halts. The boat weighs \(20 \mathrm{~kg}\) and one can assume that there is no friction between it and water. The dog from the shore at the end of this time is

1 \(3.4 \mathrm{~m}\)
2 \(6.8 \mathrm{~m}\)
3 \(12.6 \mathrm{~m}\)
4 \(10 \mathrm{~m}\)
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Rotational Motion

269368 A thin uniform rod of length" \(L\) " is bent at its mid point as shown in the figure. The distance of the centre of mass from the point " \(O\) " is

1 \(\frac{L}{2} \sin \frac{\theta}{2}\)
2 \(\frac{L}{2} \cos \frac{\theta}{2}\)
3 \(\frac{L}{4} \sin \frac{\theta}{2}\)
4 \(\frac{L}{4} \cos \frac{\theta}{2}\)
Rotational Motion

269369 Three identical spheres each of mass ' \(m\) ' and radius ' \(R\) ' are placed touching each other so that theircentres \(A, B\) and \(C\) lie on a straight line. The position of their centre of mass from centre of \(A\) is

1 \(\frac{2 R}{3}\)
2 \(2 R\)
3 \(\frac{5 R}{3}\)
4 \(\frac{4 R}{3}\)
Rotational Motion

269370 A boy of mass\(50 \mathrm{~kg}\) is standing at one end of a boat of length \(9 \mathrm{~m}\) and mass \(400 \mathrm{~kg}\). He runs to the other end. The distance through which the centre of mass of the boat boy system moves is

1 0
2 \(1 \mathrm{~m}\)
3 \(2 \mathrm{~m}\)
4 \(3 \mathrm{~m}\)
Rotational Motion

269371 A dog weighing\(5 \mathrm{~kg}\) is standing on a flat boat so that it is 10 metres from the shore. It walks \(4 \mathrm{~m}\) on the boat towards the shore and then halts. The boat weighs \(20 \mathrm{~kg}\) and one can assume that there is no friction between it and water. The dog from the shore at the end of this time is

1 \(3.4 \mathrm{~m}\)
2 \(6.8 \mathrm{~m}\)
3 \(12.6 \mathrm{~m}\)
4 \(10 \mathrm{~m}\)
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