The motor of an engine is rotating about its axis with an angular velocity of 100 rpm.  It comes to rest is 15 s, after being switched off.  Assuming constant angular deceleration.  What are the numbers of revolutions made by it before coming to rest?

1. 12.5         

2. 40             

3. 32.6           

4. 15.6

Subtopic:  Rotational Motion: Kinematics |
 70%
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If F be a force acting on a particle having the position vector r and τ be the torque of the force about the origin, then;
(a) r.τ=0 and F.τ=0                 (b) r.τ=0 and F.τ0
(c) r.τ0 and F.τ0                 (d)r.τ0 and F.τ=0 

Subtopic:  Torque |
 77%
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A T joint is formed by two identical rods A and B each of mass m and length L in the XY plane as shown. Its moment of inertia about axis passing through A and perpendicular to the plane of the joint,

                                          

1.  2mL23

2.  mL212

3.  mL26

4.  None of these

Subtopic:  Moment of Inertia |
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A hollow sphere of diameter 0.2 m and mass 2 kg is rolling on an inclined plane with velocity v = 0.5 m/ s. The kinetic energy of the sphere is

1.  0.1 J

2.  0.3 J

3.  0.5 J

4.  0.42 J

Subtopic:  Rolling Motion (OLD NCERT) |
 68%
From NCERT
PMT - 2002
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A man of the mass M stands at one end of a plank of length L which lies at rest on a frictionless surface. The man walks to the other end of the plank. If the mass of the plank is M3, the distance that the man moves relative to the ground is

1. 3L4

2. L4

3. 4L5

4. L3

Subtopic:  Center of Mass |
 52%
From NCERT
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Ratio of total kinetic energy and rotational kinetic energy in the motion of a disc is

1. 1:1

2. 2:7

3. 1:2

4. 3:1

Subtopic:  Rolling Motion (OLD NCERT) |
 73%
From NCERT
PMT - 1996
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A cylinder is rolling over a surface. Which points on it move rectilinearly?

1. All points on the curved surface of the cylinder.

2. All points on the flat surfaces of the cylinder.

3. All points on the axis of the cylinder.

4. None of the above

Subtopic:  Rolling Motion (OLD NCERT) |
 68%
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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. 2g3l
2. mgl2
3. 32gl
4. 3g2l

Subtopic:  Torque |
 72%
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NEET - 2013
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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

Subtopic:  Angular Momentum |
 75%
From NCERT
PMT - 2004
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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

Subtopic:  Torque |
 77%
From NCERT
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