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:  Application of Laws |
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A motorcycle is going on an overbridge of radius R. The driver maintains a constant speed. As the motorcycle is ascending on the overbridge, the normal force on it:

1.  Increases

2.  decreases

3.  remains the same

4.  fluctuates erratically

Subtopic:  Non Uniform Vertical Circular Motion |
 52%
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A rod of length L and mass m is acted on by two unequal forces F1 and F2<F1 as shown in the following figure

The tension in the rod at a distance y from the end A is given by :

1. F11-yL+F2yL

2. F21-yL+F1yL

3. F1-F2yL

4. None of the above

Subtopic:  Application of Laws |
 56%
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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 blocks 'A' and 'B' each of mass 'm' are placed on a smooth horizontal surface. Two horizontal force F and 2F are applied on both the blocks 'A' and 'B' respectively as shown in figure. The block A does not slide on block B. Then the normal reaction acting between the two blocks is:

(1) F

(2) F/2

(3) F3

(4) 3F

Subtopic:  Application of Laws |
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Five persons A, B, C, D & E are pulling a cart of mass 100 kg on a smooth surface and the cart is moving with acceleration 3 m/s2 in east direction. When person 'A' stops pulling, it moves with acceleration 1 m/s2 in the west direction. When person 'B' stops pulling, it moves with acceleration 24 m/s2 in the north direction. The magnitude of the acceleration of the cart when only A & B pull the cart keeping their directions same as the old directions are:

1.  26 m/s2

2.  371 m/s2

3.  25 m/s2

4.  30 m/s2

Subtopic:  Application of Laws |
 53%
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A body moves along an uneven surface with constant speed at all points. The normal reaction due to ground on the body is:

       

1. maximum at \(A\)
2. maximum at \(B\)
3. minimum at \(C\)
4. the same at \(A, B\) and \(C\)

Subtopic:  Uniform Circular Motion |
 52%
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Two masses, \(m\) and \(M\), are connected by a light string passing over a smooth pulley. When mass \(m\) moves up by \(1.4\) m in \(2\) sec, the ratio \(\frac{m}{M}\) ​​​​is:

1. \(\frac{13}{15} \) 2. \(\frac{15}{13} \)
3. \(\frac{9}{7} \) 4. \(\frac{7}{9}\)
Subtopic:  Application of Laws |
 51%
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A car is moving in a circular horizontal track of radius 10 m with a constant speed of 10 m/sec. A plumb bob is suspended from the roof of the car by a light rigid rod of length 1.00 m. The angle made by the rod with the track is

1.  Zero

2.  30°

3.  45°

4.  60°

Subtopic:  Banking of Roads |
 66%
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The engine of a car produces an acceleration of 4 m/s2 in the car. If this car pulls another car of the same mass, what will be the acceleration produced?

(1) 8 m/s2

(2) 2 m/s2

(3) 4 m/s2

(4) 12m/s2   

Subtopic:  Newton's Laws |
 65%
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