# 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) |
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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 |
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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 $$L_A$$ when it is at $$A$$ and $$L_B$$ when it is at $$B,$$ then:

 1 $$L_A>L_B$$ 2 $$L_A=L_B$$ 3 The relationship between $$L_A$$ and $$L_B$$ depends upon the slope of the line $$AB.$$ 4 $$L_A Subtopic: Angular Momentum | 65% From NCERT AIIMS - 2007 To view explanation, please take trial in the course. NEET 2025 - Target Batch Hints Links To view explanation, please take trial in the course. NEET 2025 - Target Batch 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% From NCERT PMT - 2003 To view explanation, please take trial in the course. NEET 2025 - Target Batch Hints Links To view explanation, please take trial in the course. NEET 2025 - Target Batch 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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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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If the equation for the displacement of a particle moving on a circular path is given by $\theta =2{t}^{3}+0.5$, where $\theta$ is in radian and t is in second, then the angular velocity of the particle after 2s is

Subtopic:  Rotational Motion: Kinematics |
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A pan containing a layer of uniform thickness of ice is placed on a circular turntable with its centre coinciding with the centre of the turn table. The turntable is now rotated at a constant angular velocity about a vertical axis passing through its centre and then driving is withdrawn. There is no friction between the table. As the ice melts

1.  the angular velocity of the system decreases

2.  the angular velocity of the system increases

3.  the angular velocity of the system remains unchanged

4.  the moment of inertia of the system decreases

Subtopic:  Angular Momentum |
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The motion of planets in the solar system is an example of the conservation of

1.  mass

2.  Linear momentum

3.  Angular momentum

4.  Energy

Subtopic:  Angular Momentum |
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AIIMS - 2003
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A circular disc is to be made by using iron and aluminium, so that it acquires maximum moment of inertia about its geometrical axis.  It is possible with

1. iron and aluminium layers in alternate order

2. aluminium at interior and iron surrounding it

3. iron at interior and aluminium surrounding it

4. either '1' or '3'

Subtopic:  Moment of Inertia |
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