06. Rolling Motion
Rotational Motion

150413 A ring, a disc and a solid sphere have same mass and radius. All of them are rolled down on an inclined plane from same height, simultaneously. The body that will reach at the bottom, last, amongst is

1 Ring
2 Disc
3 Ring and disc
4 Solid sphere
Rotational Motion

150414 A wheel of radius ' \(r\) ' rolls without slipping with a speed ' \(v\) ' on a horizontal road. When it is at a point ' \(A\) ' on the road a small blob of the mud separates from wheel at the highest point and touches the point ' \(B\) ' on the road as shown in the figure. Then \(A B\) is
(g- acceleration due to gravity)
original image

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

150415 A hollow sphere and a solid sphere, of equal mass and equal radii roll down without slipping on an inclined plane. If the torque experienced by the hollow sphere and solid sphere are \(\tau_{\mathrm{H}}\) and \(\tau_{\mathrm{S}}\) respectively, then

1 \(\tau_{\mathrm{H}} \lt \tau_{\mathrm{S}}\)
2 \(\tau_{\mathrm{H}}>\tau_{\mathrm{S}}\)
3 \(\tau_{\mathrm{H}}=\tau_{\mathrm{S}}\)
4 \(\tau_{\mathrm{H}}=0\)
5 \(\tau_{\mathrm{S}}=0\)
Rotational Motion

150416 A ball of mass \(1 \mathrm{~kg}\) and radius \(0.5 \mathrm{~m}\), starting from rest rolls down on a \(30^{\circ}\) inclined plane. The torque acting on the ball at the distance of the \(7 \mathrm{~m}\) from the starting point is close to (Take acceleration due to gravity as \(10 \mathrm{~m} / \mathrm{s}^{2}\)

1 \(0.25 \mathrm{~N}-\mathrm{m}\)
2 \(0.7 \mathrm{~N}-\mathrm{m}\)
3 \(0.5 \mathrm{~N}-\mathrm{m}\)
4 \(0.4 \mathrm{~N}-\mathrm{m}\)
5 \(1.4 \mathrm{~N}-\mathrm{m}\)
Rotational Motion

150413 A ring, a disc and a solid sphere have same mass and radius. All of them are rolled down on an inclined plane from same height, simultaneously. The body that will reach at the bottom, last, amongst is

1 Ring
2 Disc
3 Ring and disc
4 Solid sphere
Rotational Motion

150414 A wheel of radius ' \(r\) ' rolls without slipping with a speed ' \(v\) ' on a horizontal road. When it is at a point ' \(A\) ' on the road a small blob of the mud separates from wheel at the highest point and touches the point ' \(B\) ' on the road as shown in the figure. Then \(A B\) is
(g- acceleration due to gravity)
original image

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

150415 A hollow sphere and a solid sphere, of equal mass and equal radii roll down without slipping on an inclined plane. If the torque experienced by the hollow sphere and solid sphere are \(\tau_{\mathrm{H}}\) and \(\tau_{\mathrm{S}}\) respectively, then

1 \(\tau_{\mathrm{H}} \lt \tau_{\mathrm{S}}\)
2 \(\tau_{\mathrm{H}}>\tau_{\mathrm{S}}\)
3 \(\tau_{\mathrm{H}}=\tau_{\mathrm{S}}\)
4 \(\tau_{\mathrm{H}}=0\)
5 \(\tau_{\mathrm{S}}=0\)
Rotational Motion

150416 A ball of mass \(1 \mathrm{~kg}\) and radius \(0.5 \mathrm{~m}\), starting from rest rolls down on a \(30^{\circ}\) inclined plane. The torque acting on the ball at the distance of the \(7 \mathrm{~m}\) from the starting point is close to (Take acceleration due to gravity as \(10 \mathrm{~m} / \mathrm{s}^{2}\)

1 \(0.25 \mathrm{~N}-\mathrm{m}\)
2 \(0.7 \mathrm{~N}-\mathrm{m}\)
3 \(0.5 \mathrm{~N}-\mathrm{m}\)
4 \(0.4 \mathrm{~N}-\mathrm{m}\)
5 \(1.4 \mathrm{~N}-\mathrm{m}\)
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Rotational Motion

150413 A ring, a disc and a solid sphere have same mass and radius. All of them are rolled down on an inclined plane from same height, simultaneously. The body that will reach at the bottom, last, amongst is

1 Ring
2 Disc
3 Ring and disc
4 Solid sphere
Rotational Motion

150414 A wheel of radius ' \(r\) ' rolls without slipping with a speed ' \(v\) ' on a horizontal road. When it is at a point ' \(A\) ' on the road a small blob of the mud separates from wheel at the highest point and touches the point ' \(B\) ' on the road as shown in the figure. Then \(A B\) is
(g- acceleration due to gravity)
original image

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

150415 A hollow sphere and a solid sphere, of equal mass and equal radii roll down without slipping on an inclined plane. If the torque experienced by the hollow sphere and solid sphere are \(\tau_{\mathrm{H}}\) and \(\tau_{\mathrm{S}}\) respectively, then

1 \(\tau_{\mathrm{H}} \lt \tau_{\mathrm{S}}\)
2 \(\tau_{\mathrm{H}}>\tau_{\mathrm{S}}\)
3 \(\tau_{\mathrm{H}}=\tau_{\mathrm{S}}\)
4 \(\tau_{\mathrm{H}}=0\)
5 \(\tau_{\mathrm{S}}=0\)
Rotational Motion

150416 A ball of mass \(1 \mathrm{~kg}\) and radius \(0.5 \mathrm{~m}\), starting from rest rolls down on a \(30^{\circ}\) inclined plane. The torque acting on the ball at the distance of the \(7 \mathrm{~m}\) from the starting point is close to (Take acceleration due to gravity as \(10 \mathrm{~m} / \mathrm{s}^{2}\)

1 \(0.25 \mathrm{~N}-\mathrm{m}\)
2 \(0.7 \mathrm{~N}-\mathrm{m}\)
3 \(0.5 \mathrm{~N}-\mathrm{m}\)
4 \(0.4 \mathrm{~N}-\mathrm{m}\)
5 \(1.4 \mathrm{~N}-\mathrm{m}\)
Rotational Motion

150413 A ring, a disc and a solid sphere have same mass and radius. All of them are rolled down on an inclined plane from same height, simultaneously. The body that will reach at the bottom, last, amongst is

1 Ring
2 Disc
3 Ring and disc
4 Solid sphere
Rotational Motion

150414 A wheel of radius ' \(r\) ' rolls without slipping with a speed ' \(v\) ' on a horizontal road. When it is at a point ' \(A\) ' on the road a small blob of the mud separates from wheel at the highest point and touches the point ' \(B\) ' on the road as shown in the figure. Then \(A B\) is
(g- acceleration due to gravity)
original image

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

150415 A hollow sphere and a solid sphere, of equal mass and equal radii roll down without slipping on an inclined plane. If the torque experienced by the hollow sphere and solid sphere are \(\tau_{\mathrm{H}}\) and \(\tau_{\mathrm{S}}\) respectively, then

1 \(\tau_{\mathrm{H}} \lt \tau_{\mathrm{S}}\)
2 \(\tau_{\mathrm{H}}>\tau_{\mathrm{S}}\)
3 \(\tau_{\mathrm{H}}=\tau_{\mathrm{S}}\)
4 \(\tau_{\mathrm{H}}=0\)
5 \(\tau_{\mathrm{S}}=0\)
Rotational Motion

150416 A ball of mass \(1 \mathrm{~kg}\) and radius \(0.5 \mathrm{~m}\), starting from rest rolls down on a \(30^{\circ}\) inclined plane. The torque acting on the ball at the distance of the \(7 \mathrm{~m}\) from the starting point is close to (Take acceleration due to gravity as \(10 \mathrm{~m} / \mathrm{s}^{2}\)

1 \(0.25 \mathrm{~N}-\mathrm{m}\)
2 \(0.7 \mathrm{~N}-\mathrm{m}\)
3 \(0.5 \mathrm{~N}-\mathrm{m}\)
4 \(0.4 \mathrm{~N}-\mathrm{m}\)
5 \(1.4 \mathrm{~N}-\mathrm{m}\)