A uniform rod AB of length l and mass m is free to rotate about point A. The rod is released from rest in horizontal position. Given that the moment of inerita of the rod about A is ml23 the initial angular acceleration of the rod will be

 

1. 2g3l2. mgl23. 32gl4. 3g2l

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The magnitude of the impulse developed by a mass of 0.2 kg which changes its velocity from 5i^ - 3j^ + 7k^  m/s to 2i^ + 3j^ + k^ m/s is

1.  2.7 N-s

2.  1.8 N-s

3.  0.9 N-s

4.  3.6 N-s

Concept Questions :-

Linear momentum
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A round disc of the moment of inertia l2 about its axis perpendicular to its plane and passing through its center is placed over another disc of the moment of inertial l1 rotating with an angular velocity ω about the same axis. The final angular velocity of the combination of discs is

1.  l2ωl1 + l2

2.  ω

3.  l1ωl1 + l2

4.  l1 + l2ωl1

Concept Questions :-

Angular momentum
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A light cord is wrapped around the rim of the wheel disc of radius r and a steady downward pull F is exerted on the cord, then the angular acceleration of the wheel is

(1) FMr           (2) 2FM                 (3) 2FMr                 (4) M2F

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A solid sphere is rotating in free space. If the radius of the sphere is increased keeping mass same which one of the following will not be affected
(1) Moment of inertia

(2) Angular momentum

(3) Angular velocity

(4) Rotational kinetic energy

Concept Questions :-

Angular momentum
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A particle of mass 5 g is moving with a uniform speed of 32cm/s in the x-y plane along the line y = 25cm. The magnitude of its angular momentum about the origin in g-cm2/s is

1.  0

2.  30

3.  302

4.  3010

Concept Questions :-

Angular momentum
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Three-point masses, each of mass m are placed at the corners of an equilateral triangle of side a. The moment of inertia of this system ab5ut an axis along one Side of the triangle is

1.  3 ma2 

2.  ma2

3.  ma234

4.  32ma2

Concept Questions :-

Moment of inertia
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A mass M is supported by a massless string wound round a uniform cylinder of mass M and radius R. On releasing the mass from rest, it will fall with an acceleration

                       

1.  g3

2.  g2

3.  2g3

4.  g

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A closed tube partly filled with water lies in a horizontal plane. If the tube is rotated about perpendicular bisector, the moment of inertia of the system

(1) increases

(2) decreases

(3) remains constant

(4) depends on sense of rotation

Concept Questions :-

Moment of inertia
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A disc is rotating With an angular speed of m. If a child sits on it, which of the following is conserved? 

1.  kinetic energy 

2.  potential energy 

3.  linear momentum 

4.  angular momentum

Concept Questions :-

Angular momentum
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