A force $-\mathrm{F}\stackrel{^}{\mathrm{k}}$ acts on O, the origin of the coordinate system. The torque about the point (1, -1) is :

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

Concept Questions :-

Torque
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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

Concept Questions :-

Moment of inertia
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

A force  is acting on a point . The torque acting about a point  is

1.  0

2.

2.

4.

Concept Questions :-

Torque
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

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 is

1.  $\frac{2}{3}\mathrm{\omega }$

2.  $\frac{4}{5}\mathrm{\omega }$

3.  $\frac{3}{4}\mathrm{\omega }$

4.  $\frac{1}{3}\mathrm{\omega }$

Concept Questions :-

Angular momentum
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Difficulty Level:

When a ball of mass = 5kg hits a bat with a velocity = 3 m/s, in positive direction and it moves back with a velocity = 4 m/s, find the impulse in SI units

1. 5

2. 15

3. 25

4. 35

Concept Questions :-

Linear momentum
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Difficulty Level:

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

Concept Questions :-

Angular momentum
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Difficulty Level:

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

Concept Questions :-

Center of mass
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A wheel whose moment of inertia is 12 ${\mathrm{Kgm}}^{2}$ has an initial angular velocity of 40 rad/sec. A constant torque of 20 Nm acts on the wheel. The time in which the wheel is accelerated to 100 rad/sec is

1.  72 seconds

2.  16 seconds

3.  8 seconds

4.  36 seconds

Concept Questions :-

Torque
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Difficulty Level:

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

Concept Questions :-

Angular momentum
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Difficulty Level:

A particle of mass m has momentum p. it's kinetic energy will be

1.  mp

2.  ${p}^{2}m$

3.  $\frac{{p}^{2}}{m}$

4.  $\frac{{p}^{2}}{2m}$

Concept Questions :-

Linear momentum