Subtopic:  Angular Momentum |
83%
From NCERT
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A sphere is rolling down a plane of inclination $\theta$ to the horizontal.  The acceleration of its centre down the plane is

1. g sin $\theta$

2. less than g sin $\theta$

3. greater than g sin $\theta$

4. zero

Subtopic:  Rolling Motion (OLD NCERT) |
66%
From NCERT
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A bob of mass m attached to an inextensible string of length l is suspended from vertical support.  The bob rotates in a horizontal circle with an angular speed $\mathrm{\omega }$ $\mathrm{rad}/\mathrm{s}$ about the vertical.  About the point of suspension.

 1 Angular momentum is conserved 2 Angular momentum changes in magnitude but not in the direction 3 Angular momentum changes in direction but not in magnitude 4 Angular momentum changes both in direction and magnitude

Subtopic:  Angular Momentum |
From NCERT
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In free space, a rifle of mass M shoots a bullet of mass m at a stationary block of mass M at a distance D away from it. When the bullet has moved through a distance d towards the block, the centre of mass of the bullet - block system is at a distance of

1. $\frac{\left(D-d\right)}{M+m}$ from the bullet

2. $\frac{md+MD}{M+m}$ from the block

3. $\frac{2md+MD}{M+m}$ from the block

4. $\frac{\left(D-d\right)M}{M+m}$ from the bullet

Subtopic:  Center of Mass |
57%
From NCERT
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Blocks A and B are resting on a smooth horizontal surface given equal speeds of 2 m/s in the opposite sense as shown in the figure.

At t = 0, the position of blocks are shown, then the coordinates of centre of mass at t = 3s will be

1.  (1, 0)

2.  (3, 0)

3.  (5, 0)

4.  (2.25, 0)

Subtopic:  Center of Mass |
74%
From NCERT
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A wheel is at rest. Its angular velocity increases uniformly and becomes 80 rad/s after 5 s. The total angular displacement is

Subtopic:  Rotational Motion: Kinematics |
70%
From NCERT
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A force$$- F \hat k$$ acts on O, the origin of the coordinate system. The torque at the point (1, -1) will be:

1. $-\mathrm{F}\left(\stackrel{^}{\mathrm{i}}+\stackrel{^}{\mathrm{j}}\right)$

2. $\mathrm{F}\left(\stackrel{^}{\mathrm{i}}+\stackrel{^}{\mathrm{j}}\right)$

3. $-\mathrm{F}\left(\stackrel{^}{\mathrm{i}}-\stackrel{^}{\mathrm{j}}\right)$

4. $\mathrm{F}\left(\stackrel{^}{\mathrm{i}}-\stackrel{^}{\mathrm{j}}\right)$

Subtopic:  Torque |
From NCERT
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Moment of inertia of an object does not depend upon

1.  mass of object

2.  mass distribution

3.  angular velocity

4.  axis of rotation

Subtopic:  Moment of Inertia |
78%
From NCERT
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A thin uniform circular disc of mass M and radius R is rotating in a horizontal plane about an axis passing through its center and perpendicular to its plane with an angular velocity $\omega$. Another disc of the same dimensions but of mass $\frac{1}{4}M$ is placed gently on the first disc co-axially. The angular velocity of the system will be:

 1 $\frac{2}{3}\mathrm{\omega }$ 2 $\frac{4}{5}\mathrm{\omega }$ 3 $\frac{3}{4}\mathrm{\omega }$ 4 $\frac{1}{3}\mathrm{\omega }$
Subtopic:  Angular Momentum |
81%
From NCERT
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When a torque acting upon a system is zero, then which of the following will be constant

1.  force

2.  Linear momentum

3.  Angular momentum

4.  Linear impulse

Subtopic:  Angular Momentum |
86%
From NCERT
PMT - 1997
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