150426 The times taken by a solid sphere, a solid cylinder a thin-walled hollow sphere and a thin-walled hollow cylinder all having the same mass to roll down an inclined plane when released at the top are denoted as \(t_{s s}, t_{s c}, t_{h s}\), and \(t_{h c}\) respectively. The following is true with regard to the roll down times.

150427 A solid cylinder rolls down from an inclined plane of height \(h\). What is the velocity of the cylinder when it reaches at bottom of the plane?

150428 A solid sphere of mass \(2 \mathrm{~kg}\) rolls on a smooth horizontal surface at \(10 \mathrm{~m} / \mathrm{s}\). It then rolls up a smooth inclined plane of inclination \(30^{\circ}\) with the horizontal. The height attained by the sphere before it stops is

150430 A solid sphere is rolling without slipping on a semi-circular track of radius \(10 \mathrm{~m}\) as shown in the figure. The radius of solid sphere is much smaller than the radius of semi-circular track. At the lowest point, it has a velocity \(10 \mathrm{~m} / \mathrm{s}\). To what maximum angle \(\theta\) from the vertical will the sphere travel before it comes back down? Neglect the rolling friction between the sphere and the track.
(Take, \(g=10 \mathrm{~m} / \mathrm{s}^{2}\)

150426 The times taken by a solid sphere, a solid cylinder a thin-walled hollow sphere and a thin-walled hollow cylinder all having the same mass to roll down an inclined plane when released at the top are denoted as \(t_{s s}, t_{s c}, t_{h s}\), and \(t_{h c}\) respectively. The following is true with regard to the roll down times.

150427 A solid cylinder rolls down from an inclined plane of height \(h\). What is the velocity of the cylinder when it reaches at bottom of the plane?

150428 A solid sphere of mass \(2 \mathrm{~kg}\) rolls on a smooth horizontal surface at \(10 \mathrm{~m} / \mathrm{s}\). It then rolls up a smooth inclined plane of inclination \(30^{\circ}\) with the horizontal. The height attained by the sphere before it stops is

150430 A solid sphere is rolling without slipping on a semi-circular track of radius \(10 \mathrm{~m}\) as shown in the figure. The radius of solid sphere is much smaller than the radius of semi-circular track. At the lowest point, it has a velocity \(10 \mathrm{~m} / \mathrm{s}\). To what maximum angle \(\theta\) from the vertical will the sphere travel before it comes back down? Neglect the rolling friction between the sphere and the track.
(Take, \(g=10 \mathrm{~m} / \mathrm{s}^{2}\)

150426 The times taken by a solid sphere, a solid cylinder a thin-walled hollow sphere and a thin-walled hollow cylinder all having the same mass to roll down an inclined plane when released at the top are denoted as \(t_{s s}, t_{s c}, t_{h s}\), and \(t_{h c}\) respectively. The following is true with regard to the roll down times.

150427 A solid cylinder rolls down from an inclined plane of height \(h\). What is the velocity of the cylinder when it reaches at bottom of the plane?

150428 A solid sphere of mass \(2 \mathrm{~kg}\) rolls on a smooth horizontal surface at \(10 \mathrm{~m} / \mathrm{s}\). It then rolls up a smooth inclined plane of inclination \(30^{\circ}\) with the horizontal. The height attained by the sphere before it stops is

150430 A solid sphere is rolling without slipping on a semi-circular track of radius \(10 \mathrm{~m}\) as shown in the figure. The radius of solid sphere is much smaller than the radius of semi-circular track. At the lowest point, it has a velocity \(10 \mathrm{~m} / \mathrm{s}\). To what maximum angle \(\theta\) from the vertical will the sphere travel before it comes back down? Neglect the rolling friction between the sphere and the track.
(Take, \(g=10 \mathrm{~m} / \mathrm{s}^{2}\)

150426 The times taken by a solid sphere, a solid cylinder a thin-walled hollow sphere and a thin-walled hollow cylinder all having the same mass to roll down an inclined plane when released at the top are denoted as \(t_{s s}, t_{s c}, t_{h s}\), and \(t_{h c}\) respectively. The following is true with regard to the roll down times.

150427 A solid cylinder rolls down from an inclined plane of height \(h\). What is the velocity of the cylinder when it reaches at bottom of the plane?

150428 A solid sphere of mass \(2 \mathrm{~kg}\) rolls on a smooth horizontal surface at \(10 \mathrm{~m} / \mathrm{s}\). It then rolls up a smooth inclined plane of inclination \(30^{\circ}\) with the horizontal. The height attained by the sphere before it stops is

150430 A solid sphere is rolling without slipping on a semi-circular track of radius \(10 \mathrm{~m}\) as shown in the figure. The radius of solid sphere is much smaller than the radius of semi-circular track. At the lowest point, it has a velocity \(10 \mathrm{~m} / \mathrm{s}\). To what maximum angle \(\theta\) from the vertical will the sphere travel before it comes back down? Neglect the rolling friction between the sphere and the track.
(Take, \(g=10 \mathrm{~m} / \mathrm{s}^{2}\)