A simple pendulum is set up in a trolley which moves to the right with an acceleration a on a horizontal plane. Then the thread of the pendulum in the mean position makes an angle θ with the vertical

(1) tan-1ag in the forward direction

(2) tan-1ag in the upward direction 

(3) tan-1ag in the backward direction

(4) tan-1ga in the forward directions 

Subtopic:  Pseudo Force |
 75%
From NCERT
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A simple pendulum hangs from the roof of a train moving on horizontal rails. If the string is inclined towards the front of the train, then train is

1. Moving with constant velocity

2. In accelerated motion

3. In retarded motion

4. At rest

Subtopic:  Newton's Laws |
 76%
From NCERT
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While walking on ice one should take small steps to avoid slipping. This is because smaller steps ensure

(1) Larger friction

(2) Smaller friction

(3) Larger normal force

(4) Smaller normal force

Subtopic:  Newton's Laws |
From NCERT
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A block is placed on a rough horizontal plane. A time dependent horizontal force, \(F=kt,\) acts on the block. The acceleration time graph of the block is :

1. 2.
3. 4.
Subtopic:  Friction |
From NCERT
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A motorcycle is going on an overbridge of radius R. The driver maintains a constant speed. The normal force on the motorcycle as it ascends the overbridge will be:

1.  increases.

2.  decreases.

3.  remains the same.

4.  fluctuates erratically.

Subtopic:  Uniform Circular Motion |
 52%
From NCERT
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Two blocks A and B of masses m & 2m respectively are held at rest such that the spring is in natural length. Find the accelerations of both the blocks just after release.

(1) g, g

(2) g3, g3

(3) (0, 0)

(4) g, 0

Subtopic:  Application of Laws |
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Two masses, M and m, are attached to a vertical axis by weightless threads of combined length l. They are set in rotational motion in a horizontal plane about this axis with constant angular velocity ω. If the tensions in the threads are the same during motion, the distance of M from the axis is:

1. MlM+m

2. mlM+m

3. M+mMl

4. M+mml

Subtopic:  Uniform Circular Motion |
 65%
From NCERT
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A ball of mass 0.25 kg attached to the end of a string of length 1.96 m is moving in a horizontal circle. The string will break if the tension is more than 25 N. What is the maximum speed with which the ball can be moved 

(1) 14 m/s

(2) 3 m/s

(3) 3.92 m/s

(4) 5 m/s

Subtopic:  Uniform Circular Motion |
 76%
From NCERT
PMT - 1998
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A point mass m is suspended from a light thread of length l, fixed at O, is whirled in a horizontal circle at constant speed as shown. From your point of view, stationary with respect to the mass, the forces on the mass are

(1)
(2)
(3)
(4)
Subtopic:  Uniform Circular Motion |
 60%
From NCERT
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A motor cycle driver doubles its velocity when he is having a turn. The force exerted outwardly will be

(1) Double

(2) Half

(3) 4 times

(4) 14 times

Subtopic:  Uniform Circular Motion |
 83%
From NCERT
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