06. Rolling Motion
Rotational Motion

150448 If a sphere rolling on an inclined plane with velocity \(v\) without slipping, the vertical height of the incline in terms of velocity will be
original image

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

150449 A solid sphere and a hollow sphere, both of the same size and same mass roll down an inclined plane. Then :

1 solid sphere reaches the ground first
2 hollow sphere reaches the ground first
3 both spheres reaches the ground at the same time
4 the time at which the spheres reach the ground cannot be specified by the given data
Rotational Motion

150450 Assertion: A rigid disc rolls without slipping on a fixed rough horizontal surface with uniform angular velocity. Then the acceleration of lowest point on the disc is zero.
Reason: For a rigid disc rolling without slipping on a fixed rough horizontal surface, the velocity of the lowest point on the disc is always zero.

1 If both Assertion and Reason are correct and Reason is the correct explanation of Assertion.
2 If both Assertion and Reason are correct, but Reason is not the correct explanation of Assertion.
3 If Assertion is correct but Reason is incorrect.
4 If Assertion is incorrect but Reason is correct.
Rotational Motion

150453 A disc is rolling (without slipping) on a horizontal surface. \(C\) is its centre and \(Q\) and \(P\) are two points equidistant from \(C\). Let \(V_{p}, V_{q}\), \(V_{c}\) be the magnitude of velocities of points \(P, Q\) and \(C\) respectively, then
original image

1 \(V_{Q}>V_{C}>V_{P}\)
2 \(\mathrm{V}_{\mathrm{Q}} \lt \mathrm{V}_{\mathrm{C}} \lt \mathrm{V}_{\mathrm{P}}\)
3 \(\mathrm{V}_{\mathrm{Q}}=\mathrm{V}_{\mathrm{P}}, \mathrm{V}_{\mathrm{C}}=\frac{1}{2} \mathrm{~V}_{\mathrm{P}}\)
4 \(V_{Q}=V_{C}=V_{P}\)
Rotational Motion

150448 If a sphere rolling on an inclined plane with velocity \(v\) without slipping, the vertical height of the incline in terms of velocity will be
original image

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

150449 A solid sphere and a hollow sphere, both of the same size and same mass roll down an inclined plane. Then :

1 solid sphere reaches the ground first
2 hollow sphere reaches the ground first
3 both spheres reaches the ground at the same time
4 the time at which the spheres reach the ground cannot be specified by the given data
Rotational Motion

150450 Assertion: A rigid disc rolls without slipping on a fixed rough horizontal surface with uniform angular velocity. Then the acceleration of lowest point on the disc is zero.
Reason: For a rigid disc rolling without slipping on a fixed rough horizontal surface, the velocity of the lowest point on the disc is always zero.

1 If both Assertion and Reason are correct and Reason is the correct explanation of Assertion.
2 If both Assertion and Reason are correct, but Reason is not the correct explanation of Assertion.
3 If Assertion is correct but Reason is incorrect.
4 If Assertion is incorrect but Reason is correct.
Rotational Motion

150453 A disc is rolling (without slipping) on a horizontal surface. \(C\) is its centre and \(Q\) and \(P\) are two points equidistant from \(C\). Let \(V_{p}, V_{q}\), \(V_{c}\) be the magnitude of velocities of points \(P, Q\) and \(C\) respectively, then
original image

1 \(V_{Q}>V_{C}>V_{P}\)
2 \(\mathrm{V}_{\mathrm{Q}} \lt \mathrm{V}_{\mathrm{C}} \lt \mathrm{V}_{\mathrm{P}}\)
3 \(\mathrm{V}_{\mathrm{Q}}=\mathrm{V}_{\mathrm{P}}, \mathrm{V}_{\mathrm{C}}=\frac{1}{2} \mathrm{~V}_{\mathrm{P}}\)
4 \(V_{Q}=V_{C}=V_{P}\)
NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here
Rotational Motion

150448 If a sphere rolling on an inclined plane with velocity \(v\) without slipping, the vertical height of the incline in terms of velocity will be
original image

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

150449 A solid sphere and a hollow sphere, both of the same size and same mass roll down an inclined plane. Then :

1 solid sphere reaches the ground first
2 hollow sphere reaches the ground first
3 both spheres reaches the ground at the same time
4 the time at which the spheres reach the ground cannot be specified by the given data
Rotational Motion

150450 Assertion: A rigid disc rolls without slipping on a fixed rough horizontal surface with uniform angular velocity. Then the acceleration of lowest point on the disc is zero.
Reason: For a rigid disc rolling without slipping on a fixed rough horizontal surface, the velocity of the lowest point on the disc is always zero.

1 If both Assertion and Reason are correct and Reason is the correct explanation of Assertion.
2 If both Assertion and Reason are correct, but Reason is not the correct explanation of Assertion.
3 If Assertion is correct but Reason is incorrect.
4 If Assertion is incorrect but Reason is correct.
Rotational Motion

150453 A disc is rolling (without slipping) on a horizontal surface. \(C\) is its centre and \(Q\) and \(P\) are two points equidistant from \(C\). Let \(V_{p}, V_{q}\), \(V_{c}\) be the magnitude of velocities of points \(P, Q\) and \(C\) respectively, then
original image

1 \(V_{Q}>V_{C}>V_{P}\)
2 \(\mathrm{V}_{\mathrm{Q}} \lt \mathrm{V}_{\mathrm{C}} \lt \mathrm{V}_{\mathrm{P}}\)
3 \(\mathrm{V}_{\mathrm{Q}}=\mathrm{V}_{\mathrm{P}}, \mathrm{V}_{\mathrm{C}}=\frac{1}{2} \mathrm{~V}_{\mathrm{P}}\)
4 \(V_{Q}=V_{C}=V_{P}\)
Rotational Motion

150448 If a sphere rolling on an inclined plane with velocity \(v\) without slipping, the vertical height of the incline in terms of velocity will be
original image

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

150449 A solid sphere and a hollow sphere, both of the same size and same mass roll down an inclined plane. Then :

1 solid sphere reaches the ground first
2 hollow sphere reaches the ground first
3 both spheres reaches the ground at the same time
4 the time at which the spheres reach the ground cannot be specified by the given data
Rotational Motion

150450 Assertion: A rigid disc rolls without slipping on a fixed rough horizontal surface with uniform angular velocity. Then the acceleration of lowest point on the disc is zero.
Reason: For a rigid disc rolling without slipping on a fixed rough horizontal surface, the velocity of the lowest point on the disc is always zero.

1 If both Assertion and Reason are correct and Reason is the correct explanation of Assertion.
2 If both Assertion and Reason are correct, but Reason is not the correct explanation of Assertion.
3 If Assertion is correct but Reason is incorrect.
4 If Assertion is incorrect but Reason is correct.
Rotational Motion

150453 A disc is rolling (without slipping) on a horizontal surface. \(C\) is its centre and \(Q\) and \(P\) are two points equidistant from \(C\). Let \(V_{p}, V_{q}\), \(V_{c}\) be the magnitude of velocities of points \(P, Q\) and \(C\) respectively, then
original image

1 \(V_{Q}>V_{C}>V_{P}\)
2 \(\mathrm{V}_{\mathrm{Q}} \lt \mathrm{V}_{\mathrm{C}} \lt \mathrm{V}_{\mathrm{P}}\)
3 \(\mathrm{V}_{\mathrm{Q}}=\mathrm{V}_{\mathrm{P}}, \mathrm{V}_{\mathrm{C}}=\frac{1}{2} \mathrm{~V}_{\mathrm{P}}\)
4 \(V_{Q}=V_{C}=V_{P}\)