269542 A small sphere of radius\(R\) rolls without slipping inside a large hemispherical bowl of radius \(R\). The sphere starts from rest at the top point of the hemisphere. What fraction of the total energy is rotational when the small sphere is at the bottom of the hemisphere

269543 A metal disc of radius \(R\) and mass \(M\) freely rolls down from the top of an inclined plane of height \(h\) without slipping. The speed of itscentre of mass on reaching the bottom of the inclined plane is

269586 An initial momentum is imparted to a homogeneous cylinder, as a result of which it begins to roll without slipping up an inclined plane at a speed of \(\mathrm{v}_{0}=4 \mathrm{~m} / \mathrm{sec}\) The plane makes an angle \(\theta=30^{\circ}\) with the horizontal. What height \(h\) will the cylinder rise to? \(\left(g=10 \mathrm{~m} / \mathrm{s}^{2}\right)\)

269587 A solid cylinder starts rolling down on an inclined plane from its top and \(\mathrm{V}\) is 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

269588 A wheel of radius \(0.2 \mathrm{~m}\) rolls without slip ping with a speed \(10 \mathrm{~m} / \mathrm{s}\) on a horizontal road. When it is at a point \(A\) on the road, a small lump of mud separates from the wheel at its highest point \(B\) and drops at point \(C\) on the ground. The distance \(A C\) is

269542 A small sphere of radius\(R\) rolls without slipping inside a large hemispherical bowl of radius \(R\). The sphere starts from rest at the top point of the hemisphere. What fraction of the total energy is rotational when the small sphere is at the bottom of the hemisphere

269543 A metal disc of radius \(R\) and mass \(M\) freely rolls down from the top of an inclined plane of height \(h\) without slipping. The speed of itscentre of mass on reaching the bottom of the inclined plane is

269586 An initial momentum is imparted to a homogeneous cylinder, as a result of which it begins to roll without slipping up an inclined plane at a speed of \(\mathrm{v}_{0}=4 \mathrm{~m} / \mathrm{sec}\) The plane makes an angle \(\theta=30^{\circ}\) with the horizontal. What height \(h\) will the cylinder rise to? \(\left(g=10 \mathrm{~m} / \mathrm{s}^{2}\right)\)

269587 A solid cylinder starts rolling down on an inclined plane from its top and \(\mathrm{V}\) is 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

269588 A wheel of radius \(0.2 \mathrm{~m}\) rolls without slip ping with a speed \(10 \mathrm{~m} / \mathrm{s}\) on a horizontal road. When it is at a point \(A\) on the road, a small lump of mud separates from the wheel at its highest point \(B\) and drops at point \(C\) on the ground. The distance \(A C\) is

269542 A small sphere of radius\(R\) rolls without slipping inside a large hemispherical bowl of radius \(R\). The sphere starts from rest at the top point of the hemisphere. What fraction of the total energy is rotational when the small sphere is at the bottom of the hemisphere

269543 A metal disc of radius \(R\) and mass \(M\) freely rolls down from the top of an inclined plane of height \(h\) without slipping. The speed of itscentre of mass on reaching the bottom of the inclined plane is

269586 An initial momentum is imparted to a homogeneous cylinder, as a result of which it begins to roll without slipping up an inclined plane at a speed of \(\mathrm{v}_{0}=4 \mathrm{~m} / \mathrm{sec}\) The plane makes an angle \(\theta=30^{\circ}\) with the horizontal. What height \(h\) will the cylinder rise to? \(\left(g=10 \mathrm{~m} / \mathrm{s}^{2}\right)\)

269587 A solid cylinder starts rolling down on an inclined plane from its top and \(\mathrm{V}\) is 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

269588 A wheel of radius \(0.2 \mathrm{~m}\) rolls without slip ping with a speed \(10 \mathrm{~m} / \mathrm{s}\) on a horizontal road. When it is at a point \(A\) on the road, a small lump of mud separates from the wheel at its highest point \(B\) and drops at point \(C\) on the ground. The distance \(A C\) is

269542 A small sphere of radius\(R\) rolls without slipping inside a large hemispherical bowl of radius \(R\). The sphere starts from rest at the top point of the hemisphere. What fraction of the total energy is rotational when the small sphere is at the bottom of the hemisphere

269543 A metal disc of radius \(R\) and mass \(M\) freely rolls down from the top of an inclined plane of height \(h\) without slipping. The speed of itscentre of mass on reaching the bottom of the inclined plane is

269586 An initial momentum is imparted to a homogeneous cylinder, as a result of which it begins to roll without slipping up an inclined plane at a speed of \(\mathrm{v}_{0}=4 \mathrm{~m} / \mathrm{sec}\) The plane makes an angle \(\theta=30^{\circ}\) with the horizontal. What height \(h\) will the cylinder rise to? \(\left(g=10 \mathrm{~m} / \mathrm{s}^{2}\right)\)

269587 A solid cylinder starts rolling down on an inclined plane from its top and \(\mathrm{V}\) is 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

269588 A wheel of radius \(0.2 \mathrm{~m}\) rolls without slip ping with a speed \(10 \mathrm{~m} / \mathrm{s}\) on a horizontal road. When it is at a point \(A\) on the road, a small lump of mud separates from the wheel at its highest point \(B\) and drops at point \(C\) on the ground. The distance \(A C\) is

269542 A small sphere of radius\(R\) rolls without slipping inside a large hemispherical bowl of radius \(R\). The sphere starts from rest at the top point of the hemisphere. What fraction of the total energy is rotational when the small sphere is at the bottom of the hemisphere

269543 A metal disc of radius \(R\) and mass \(M\) freely rolls down from the top of an inclined plane of height \(h\) without slipping. The speed of itscentre of mass on reaching the bottom of the inclined plane is

269586 An initial momentum is imparted to a homogeneous cylinder, as a result of which it begins to roll without slipping up an inclined plane at a speed of \(\mathrm{v}_{0}=4 \mathrm{~m} / \mathrm{sec}\) The plane makes an angle \(\theta=30^{\circ}\) with the horizontal. What height \(h\) will the cylinder rise to? \(\left(g=10 \mathrm{~m} / \mathrm{s}^{2}\right)\)

269587 A solid cylinder starts rolling down on an inclined plane from its top and \(\mathrm{V}\) is 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

269588 A wheel of radius \(0.2 \mathrm{~m}\) rolls without slip ping with a speed \(10 \mathrm{~m} / \mathrm{s}\) on a horizontal road. When it is at a point \(A\) on the road, a small lump of mud separates from the wheel at its highest point \(B\) and drops at point \(C\) on the ground. The distance \(A C\) is