# An inclined plane makes an angle of $30°$ with the horizontal. A solid sphere rolling down this inclined plane from rest without slipping has a linear acceleration equal to 1.  $\frac{g}{3}$ 2.  $\frac{5g}{7}$ 3.  $\frac{2g}{3}$ 4.  $\frac{5g}{14}$

Subtopic:  Rolling Motion (OLD NCERT) |
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The figure shows a small wheel fixed coaxially on a bigger one of double the radius. The system rotates about the common axis. The strings supporting A and B do not slip on the wheels. If x and y be the distances traveled by A and B in the same time interval, then

1.  x-2y

2.  x = y

3.  y=2x

4.   none of these

Subtopic:  Rolling Motion (OLD NCERT) |
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If a gymnast, sitting on a rotating stool, with his arms outstretched, suddenly lowers his hands

1.  the angular velocity increases

2.  his moment of inertia increases

3.  the angular velocity stays constant

4.  the angular momentum increases

Subtopic:  Angular Momentum |
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Moment of inertia of a uniform circular disc about a diameter is I. Its moment of inertia about an axis perpendicular to its plane and passing through a point on its rim will be

1.  5 I

2.  3 I

3.  6 I

4.  4 I

Subtopic:  Moment of Inertia |
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A disc and a solid sphere of the same radius but different masses roll off on two inclined planes of the same altitude and length. Which one of the two objects gets to the bottom of the plane first?

1.  Disk

2.   Sphere

3.  Both reach at the same time

4.  Depends on their masses

Subtopic:  Rolling Motion (OLD NCERT) |
70%
From NCERT
NEET - 2016
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The rotational KE of a body is E and its moment of inertia is I. The angular momentum is

1.  EI

2.  $2\sqrt{\left(\mathrm{EI}\right)}$

3.

4.  $\frac{\mathrm{E}}{\mathrm{I}}$

Subtopic:  Angular Momentum |
88%
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A particle of mass m moves in the XY plane with a velocity of V along the straight line AB. If the angular momentum of the particle about the origin O is Lwhen it is at A and Lwhen it is at B, then:

 1 $$\mathrm{L}_{\mathrm{A}}>\mathrm{L}_{\mathrm{B}}$$ 2 $$\mathrm{L}_{\mathrm{A}}=\mathrm{L}_{\mathrm{B}}$$ 3 The relationship between $$\mathrm{L}_{\mathrm{A}} \text { and } \mathrm{L}_{\mathrm{B}}$$ depends upon the slope of the line AB 4 $$\mathrm{L}_{\mathrm{A}}<\mathrm{L}_{\mathrm{B}}$$
Subtopic:  Angular Momentum |
65%
From NCERT
AIIMS - 2007
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If rotational kinetic energy is 50 % of translational kinetic energy, then the body is

1. Ring

2. Cylinder

3. Hollow sphere

4. Solid sphere

Subtopic:  Moment of Inertia | Rolling Motion (OLD NCERT) |
60%
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PMT - 2003
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Consider a system of two identical particles. One of the particles is at rest and the other has an acceleration a. The centre of mass has an acceleration

1. zero

2. $$\frac{a}{2}$$

3. a

4. 2a

Subtopic:  Center of Mass |
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From NCERT
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A solid sphere rolls without slipping down a $30°$ inclined plane. If g = 10 $\mathrm{m}/{\mathrm{s}}^{2}$, the acceleration of the rolling sphere is

1.  5 ${\mathrm{ms}}^{-2}$

2.  $\frac{7}{25}{\mathrm{ms}}^{-2}$

3.  $\frac{25}{7}{\mathrm{ms}}^{-2}$

4.  $\frac{15}{7}{\mathrm{ms}}^{-2}$

Subtopic:  Rolling Motion (OLD NCERT) |
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From NCERT
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