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Q. No.

A \(3\) kg-block is pressed against a vertical wall with a coefficient of friction, \(\mu = \dfrac{3}{4}\). What minimum force should be applied to the block in order to prevent it from falling down?    Take \(g = 10 ~\text{m/s}^2\) 
1. \(\dfrac{3}{4} \times 30 ~\text{N}\) 2. \(\dfrac{4}{3} \times 30 ~\text{N}\)
3. \(\dfrac{3}{5} \times 30 ~\text{N}\) 4. \(\dfrac{4}{5} \times 30~\text{N}\)
Q1:
From NCERT 
Subtopic:  Friction |
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Given below are two statements: 
Statement I: When a railway engine pulls a train and the system moves forward, the force exerted by the engine on the train is greater than that exerted by the train on the engine.
Statement II: The normal force exerted by the ground on a man is the reaction force of the weight of the man.
 
1. Statement I is incorrect and Statement II is correct.
2. Both Statement I and Statement II are correct.
3. Both Statement I and Statement II are incorrect.
4. Statement I is correct and Statement II is incorrect.
Q2:
From NCERT 
Subtopic:  Application of Laws |
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The acceleration of the \(4\) kg block is:
1. \(\dfrac{3 g}{5} ~\text{down}\). 2. \(\dfrac{6 g}{5}\text{ down}\).
3. \(\dfrac{g}{5}\text{ down}\). 4. \(\dfrac{11 g}{5}\text{ down}\).
Q3:
From NCERT 
Subtopic:  Application of Laws |
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A block of mass \(m,\) placed on a rough incline (as shown) – is observed to remain at rest. The coefficient of friction is \(\mu.\) The net force exerted by the incline on the block equals: (in magnitude)

                        
1. \(mg \cos\theta +\mu mg\cos\theta\)
2. \(mg\cos\theta\sqrt{1+\mu^2}\)
3. \(mg\sin\theta\)
4. \(mg\)

Q4:
From NCERT 
Subtopic:  Friction |
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A uniform rod is pivoted at one of its ends, so that it can rotate freely in a vertical plane. Initially, it hangs vertically as shown in the figure. A sharp impulse is delivered to the rod at its lowest end \(B,\) towards the right. An impulse is exerted by the pivot at \(A,\) due to the constraint. The impulse at \(A\) acts:
                      
1. to the right.
2. to the left.
3. upward.
4. downward.
Q5:
From NCERT 
Subtopic:  Application of Laws |
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A box is moving down a frictionless \(30^{\circ}\) incline, and a particle is projected within the box. The acceleration of the particle relative to the box is:
                          

1. \(g\)
2. \(g~\text{sin}30^{\circ}\)
3. \(g~\text{cos}30^{\circ}\)
4. \(g~\text{tan}30^{\circ}\)
Q6:
From NCERT 
Subtopic:  Application of Laws |
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In the system shown in the figure, the strings and pulleys are ideal, and the block \(A\) moves downward while \(B\) moves to the right. \(A, B \) have equal masses. The acceleration of the block \(B\) is:
  
1. \(\dfrac{g}{2}\) 2. \(\dfrac{g}{5}\)
3. \(\dfrac{2g}{5}\) 4. \(g\)
Q7:
From NCERT 
Subtopic:  Application of Laws |
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Given below are two statements: 
Statement I: Given that the magnitude of the acceleration of a body is constant, the force acting on it must be constant.
Statement II: Newton's second law leads to the statement that the acceleration of a body is directly proportional to the net force acting on it.
 
1. Statement I is incorrect and Statement II is correct.
2. Both Statement I and Statement II are correct.
3. Both Statement I and Statement II are incorrect.
4. Statement I is correct and Statement II is incorrect.
Q8:
From NCERT 
Subtopic:  Newton's Laws |
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Two blocks of weight \(1\) kg and \(2\) kg are placed in contact with each other on a smooth horizontal plane. Horizontal forces are applied to the blocks as shown. The blocks move together only if:
                     
1. \(F\leq10\) N
2. \(F>10\) N
3. \(F\leq20\) N
4. \(F>20\) N
Q9:
From NCERT 
Subtopic:  Application of Laws |
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Two blocks of masses \(2m\), \(m\) are placed on a smooth horizontal table and they are in contact on their smooth slanted surfaces. A horizontal force \(F\), equal to \(mg\), is applied to the system from the left, which causes them to accelerate. Let \(N_A\) be the normal reaction from the table on \(A\), and \(N_B\) on \(B\). Then,

        

1. \(N_A = 2mg, N_B = mg\)
2. \(N_A >2mg, N_B < mg\)
3. \(N_A < 2mg, N_B > mg\)
4. \(N_A < 2mg, N_B < mg\)
Q10:
From NCERT 
Subtopic:  Tension & Normal Reaction |
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