ROLLING MOTION \&ROTATIONAL KINETIC ENERGY
Rotational Motion

269349 A body is freely rolling down on an inclined plane whose angle of inclination is\(\theta\). If ' \(a\) ' is acceleration of its centre of mass then following is correct

1 \(a=g \sin \theta\)
2 \(a
3 \(a\lt \sin \theta\)
4 \(a=0\)
Rotational Motion

269350 A Child is standing with folded hands at the centre of a platform rotating about its central axes. The \(K . E\) of the system is ' \(K\) '. The child now stretches his hands so that the moment of inertia of the system doubles. The K.E of the system now is

1 \(2 \mathrm{~K}\)
2 \(\frac{K}{2}\)
3 \(\frac{K}{4}\)
4 \(4 K\)
Rotational Motion

269351 A yo-yo is placed on a rough horizontal surface and a constant force\(F\), which is less than its weight, pulls it vertically. Due to this

1 frictional force acts towards left, so it will move towards left
2 frictional force acts towards right, so it will move towards right
3 it will move towards left, so frictional force acts towards left
4 it will move towards right so friction force acts towards right
Rotational Motion

269352 When the following bodies of same radius starts rolling down on same inclined plane, identify the decreasing order of their times of descent
I) solid cylinder II) hollow cylinder
III) hollow sphere
IV) solid sphere

1 IV, I, III, II
2 II, III, I, IV
3 I, IV, III, II
4 II, III, IV, I
Rotational Motion

269349 A body is freely rolling down on an inclined plane whose angle of inclination is\(\theta\). If ' \(a\) ' is acceleration of its centre of mass then following is correct

1 \(a=g \sin \theta\)
2 \(a
3 \(a\lt \sin \theta\)
4 \(a=0\)
Rotational Motion

269350 A Child is standing with folded hands at the centre of a platform rotating about its central axes. The \(K . E\) of the system is ' \(K\) '. The child now stretches his hands so that the moment of inertia of the system doubles. The K.E of the system now is

1 \(2 \mathrm{~K}\)
2 \(\frac{K}{2}\)
3 \(\frac{K}{4}\)
4 \(4 K\)
Rotational Motion

269351 A yo-yo is placed on a rough horizontal surface and a constant force\(F\), which is less than its weight, pulls it vertically. Due to this

1 frictional force acts towards left, so it will move towards left
2 frictional force acts towards right, so it will move towards right
3 it will move towards left, so frictional force acts towards left
4 it will move towards right so friction force acts towards right
Rotational Motion

269352 When the following bodies of same radius starts rolling down on same inclined plane, identify the decreasing order of their times of descent
I) solid cylinder II) hollow cylinder
III) hollow sphere
IV) solid sphere

1 IV, I, III, II
2 II, III, I, IV
3 I, IV, III, II
4 II, III, IV, I
Rotational Motion

269349 A body is freely rolling down on an inclined plane whose angle of inclination is\(\theta\). If ' \(a\) ' is acceleration of its centre of mass then following is correct

1 \(a=g \sin \theta\)
2 \(a
3 \(a\lt \sin \theta\)
4 \(a=0\)
Rotational Motion

269350 A Child is standing with folded hands at the centre of a platform rotating about its central axes. The \(K . E\) of the system is ' \(K\) '. The child now stretches his hands so that the moment of inertia of the system doubles. The K.E of the system now is

1 \(2 \mathrm{~K}\)
2 \(\frac{K}{2}\)
3 \(\frac{K}{4}\)
4 \(4 K\)
Rotational Motion

269351 A yo-yo is placed on a rough horizontal surface and a constant force\(F\), which is less than its weight, pulls it vertically. Due to this

1 frictional force acts towards left, so it will move towards left
2 frictional force acts towards right, so it will move towards right
3 it will move towards left, so frictional force acts towards left
4 it will move towards right so friction force acts towards right
Rotational Motion

269352 When the following bodies of same radius starts rolling down on same inclined plane, identify the decreasing order of their times of descent
I) solid cylinder II) hollow cylinder
III) hollow sphere
IV) solid sphere

1 IV, I, III, II
2 II, III, I, IV
3 I, IV, III, II
4 II, III, IV, I
Rotational Motion

269349 A body is freely rolling down on an inclined plane whose angle of inclination is\(\theta\). If ' \(a\) ' is acceleration of its centre of mass then following is correct

1 \(a=g \sin \theta\)
2 \(a
3 \(a\lt \sin \theta\)
4 \(a=0\)
Rotational Motion

269350 A Child is standing with folded hands at the centre of a platform rotating about its central axes. The \(K . E\) of the system is ' \(K\) '. The child now stretches his hands so that the moment of inertia of the system doubles. The K.E of the system now is

1 \(2 \mathrm{~K}\)
2 \(\frac{K}{2}\)
3 \(\frac{K}{4}\)
4 \(4 K\)
Rotational Motion

269351 A yo-yo is placed on a rough horizontal surface and a constant force\(F\), which is less than its weight, pulls it vertically. Due to this

1 frictional force acts towards left, so it will move towards left
2 frictional force acts towards right, so it will move towards right
3 it will move towards left, so frictional force acts towards left
4 it will move towards right so friction force acts towards right
Rotational Motion

269352 When the following bodies of same radius starts rolling down on same inclined plane, identify the decreasing order of their times of descent
I) solid cylinder II) hollow cylinder
III) hollow sphere
IV) solid sphere

1 IV, I, III, II
2 II, III, I, IV
3 I, IV, III, II
4 II, III, IV, I