06. Rolling Motion
Rotational Motion

269480 A thin ring of mass \(1 \mathrm{~kg}\) and radius \(1 \mathrm{~m}\) is rolling at a speed of \(1 \mathrm{~ms}^{-1}\). Its kinetic energy is

1 \(2 \mathrm{~J}\)
2 \(1 \mathrm{~J}\)
3 \(0.5 \mathrm{~J}\)
4 zero
Rotational Motion

269544 A thin rod of length\(L\) is vertically straight on horizontal floor. This rod falls freely to one side without slipping at its bottom. The linear velocity of the top end of the rod with which it strikes the floor is

1 \(\sqrt{2 g L}\)
2 \(\sqrt{\frac{3 g L}{2}}\)
3 \(\sqrt{3 g L}\)
4 \(\sqrt{\frac{3 g L}{4}}\)
Rotational Motion

269536 A sphere of mass\(m\) and radius \(r\) rolls on a horizontal plane without slipping with a speed u. Now it rolls up vertically, then maximum height it would be attain will be

1 \(\frac{3 u^{2}}{4 g}\)
2 \(\frac{5 u^{2}}{2 g}\)
3 \(\frac{7 u^{2}}{10 g}\)
4 \(\frac{u^{2}}{2 g}\)
Rotational Motion

269537 A circular ring starts rolling down on an inclined plane from its top. Let\(v\) be velocity of its centre of mass on reaching the bottom of inclined plane. If a block starts sliding down on an identical inclined plane but smooth, from its top, then the velocity of block on reaching the bottom of inclined plane is

1 \(\frac{v}{2}\)
2 \(2 \mathrm{v}\)
3 \(\frac{v}{\sqrt{2}}\)
4 \(\sqrt{2} \mathrm{v}\)
Rotational Motion

269480 A thin ring of mass \(1 \mathrm{~kg}\) and radius \(1 \mathrm{~m}\) is rolling at a speed of \(1 \mathrm{~ms}^{-1}\). Its kinetic energy is

1 \(2 \mathrm{~J}\)
2 \(1 \mathrm{~J}\)
3 \(0.5 \mathrm{~J}\)
4 zero
Rotational Motion

269544 A thin rod of length\(L\) is vertically straight on horizontal floor. This rod falls freely to one side without slipping at its bottom. The linear velocity of the top end of the rod with which it strikes the floor is

1 \(\sqrt{2 g L}\)
2 \(\sqrt{\frac{3 g L}{2}}\)
3 \(\sqrt{3 g L}\)
4 \(\sqrt{\frac{3 g L}{4}}\)
Rotational Motion

269536 A sphere of mass\(m\) and radius \(r\) rolls on a horizontal plane without slipping with a speed u. Now it rolls up vertically, then maximum height it would be attain will be

1 \(\frac{3 u^{2}}{4 g}\)
2 \(\frac{5 u^{2}}{2 g}\)
3 \(\frac{7 u^{2}}{10 g}\)
4 \(\frac{u^{2}}{2 g}\)
Rotational Motion

269537 A circular ring starts rolling down on an inclined plane from its top. Let\(v\) be velocity of its centre of mass on reaching the bottom of inclined plane. If a block starts sliding down on an identical inclined plane but smooth, from its top, then the velocity of block on reaching the bottom of inclined plane is

1 \(\frac{v}{2}\)
2 \(2 \mathrm{v}\)
3 \(\frac{v}{\sqrt{2}}\)
4 \(\sqrt{2} \mathrm{v}\)
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Rotational Motion

269480 A thin ring of mass \(1 \mathrm{~kg}\) and radius \(1 \mathrm{~m}\) is rolling at a speed of \(1 \mathrm{~ms}^{-1}\). Its kinetic energy is

1 \(2 \mathrm{~J}\)
2 \(1 \mathrm{~J}\)
3 \(0.5 \mathrm{~J}\)
4 zero
Rotational Motion

269544 A thin rod of length\(L\) is vertically straight on horizontal floor. This rod falls freely to one side without slipping at its bottom. The linear velocity of the top end of the rod with which it strikes the floor is

1 \(\sqrt{2 g L}\)
2 \(\sqrt{\frac{3 g L}{2}}\)
3 \(\sqrt{3 g L}\)
4 \(\sqrt{\frac{3 g L}{4}}\)
Rotational Motion

269536 A sphere of mass\(m\) and radius \(r\) rolls on a horizontal plane without slipping with a speed u. Now it rolls up vertically, then maximum height it would be attain will be

1 \(\frac{3 u^{2}}{4 g}\)
2 \(\frac{5 u^{2}}{2 g}\)
3 \(\frac{7 u^{2}}{10 g}\)
4 \(\frac{u^{2}}{2 g}\)
Rotational Motion

269537 A circular ring starts rolling down on an inclined plane from its top. Let\(v\) be velocity of its centre of mass on reaching the bottom of inclined plane. If a block starts sliding down on an identical inclined plane but smooth, from its top, then the velocity of block on reaching the bottom of inclined plane is

1 \(\frac{v}{2}\)
2 \(2 \mathrm{v}\)
3 \(\frac{v}{\sqrt{2}}\)
4 \(\sqrt{2} \mathrm{v}\)
Rotational Motion

269480 A thin ring of mass \(1 \mathrm{~kg}\) and radius \(1 \mathrm{~m}\) is rolling at a speed of \(1 \mathrm{~ms}^{-1}\). Its kinetic energy is

1 \(2 \mathrm{~J}\)
2 \(1 \mathrm{~J}\)
3 \(0.5 \mathrm{~J}\)
4 zero
Rotational Motion

269544 A thin rod of length\(L\) is vertically straight on horizontal floor. This rod falls freely to one side without slipping at its bottom. The linear velocity of the top end of the rod with which it strikes the floor is

1 \(\sqrt{2 g L}\)
2 \(\sqrt{\frac{3 g L}{2}}\)
3 \(\sqrt{3 g L}\)
4 \(\sqrt{\frac{3 g L}{4}}\)
Rotational Motion

269536 A sphere of mass\(m\) and radius \(r\) rolls on a horizontal plane without slipping with a speed u. Now it rolls up vertically, then maximum height it would be attain will be

1 \(\frac{3 u^{2}}{4 g}\)
2 \(\frac{5 u^{2}}{2 g}\)
3 \(\frac{7 u^{2}}{10 g}\)
4 \(\frac{u^{2}}{2 g}\)
Rotational Motion

269537 A circular ring starts rolling down on an inclined plane from its top. Let\(v\) be velocity of its centre of mass on reaching the bottom of inclined plane. If a block starts sliding down on an identical inclined plane but smooth, from its top, then the velocity of block on reaching the bottom of inclined plane is

1 \(\frac{v}{2}\)
2 \(2 \mathrm{v}\)
3 \(\frac{v}{\sqrt{2}}\)
4 \(\sqrt{2} \mathrm{v}\)