A force -Fk^ acts on O, the origin of the coordinate system. The torque about the point (1, -1) is :

1. -Fi^+j^

2. Fi^+j^

3. -Fi^-j^

4. Fi^-j^

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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
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A force F = 4i^ - 5j^ + 3k^ is acting on a point r1 = i^ + 2j^ + 3k^. The torque acting about a point r2 = 3i^ - 2j^ - 3k^ is

1.  0

2.  42i^ - 30j^ + 6k^

2.  42i^ + 30j^ + 6k^

4.  42i^ + 30j^ - 6k^

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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 ω. Another disc of the same dimensions but of mass 14M is placed gently on the first disc co-axially. The angular velocity of the system is

1.  23ω

2.  45ω

3.  34ω

4.  13ω

Concept Questions :-

Angular momentum
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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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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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Consider a system of two particles having masses m1 and m2. If the particle of mass m1 is pushed towards the center of mass of particles through a distance, by what distance would be the particle of the mass m2 move so as to keep the center of mass of particles at the original position?

1.  m1m1 + m2d

2.  m1m2d

3.  d

4.  m2m1d

Concept Questions :-

Center of mass
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A wheel whose moment of inertia is 12 Kgm2 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

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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 s-1 to 10 rev s-1 is approximately

1.  1.5 x 102 J

2.  3.0 x 102 J

3.  1.5 x 103 J

4.  3.0 x 103 J

Concept Questions :-

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

1.  mp

2.  p2m

3.  p2m

4.  p22m

Concept Questions :-

Linear momentum
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