# 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 |
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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%
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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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Consider a system of two particles having masses . If the particle of mass ${\mathrm{m}}_{1}$ is pushed towards the center of mass of particles through a distance, by what distance would be the particle of the mass ${\mathrm{m}}_{2}$ move so as to keep the center of mass of particles at the original position?

1.

2.  $\frac{{\mathrm{m}}_{1}}{{\mathrm{m}}_{2}}\mathrm{d}$

3.  d

4.  $\frac{{\mathrm{m}}_{2}}{{\mathrm{m}}_{1}}\mathrm{d}$

Subtopic:  Center of Mass |
55%
From NCERT
PMT - 2004
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A flywheel is in the form of a uniform circular disc of radius 1 m and mass 2 kg. The work which must be done on it to increase its frequency of rotation from 5 rev ${\mathrm{s}}^{-1}$ to 10 rev ${\mathrm{s}}^{-1}$ is approximately

1.  1.5 x ${10}^{2}$ J

2.  3.0 x ${10}^{2}$ J

3.  1.5 x ${10}^{3}$ J

4.  3.0 x ${10}^{3}$ J

Subtopic:  Rotational Motion: Kinematics |
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From NCERT
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A constant torque acting on a uniform circular wheel changes its angular momentum from ${\mathrm{A}}_{0}$ to  in 4s. The magnitude of this torque is

1. $\frac{3{\mathrm{A}}_{0}}{4}$

2.

3. ${\mathrm{A}}_{0}$

4.

Subtopic:  Angular Momentum |
88%
From NCERT
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Two discs are rotating about their axes, normal to the discs and passing through the centres of the discs. Disc D${}_{1}$ has 2 kg mass and 0.2 m radius and initial angular velocity of 50 rad s${}^{-1}$. Disc D${}_{2}$ has 4 kg mass, 0.1 m radius and initial angular velocity of 200 rad s${}^{-1}$. The two discs are brought in contact face to face, with their axes of rotation coincident. The final angular velocity (in rad.s${}^{-1}$) of the system is

1. 60

2. 100

3. 120

4. 40

Subtopic:  Angular Momentum |
73%
From NCERT
NEET - 2013
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