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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:
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Subtopic:  Friction |
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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. \(mg\)

Q2:
From NCERT 
Subtopic:  Friction |
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A block of mass \(m\) is placed on a flat horizontal surface, and the coefficient of friction between the block and the surface is \(\mu\). A force \(F_A\) is applied to the block from above, and a force \(F_R\) is applied to the right. In all situations being considered below, the block remains at rest. Let \(f\) be the force of friction on the block.
               
Consider the statements:
(P) \(f\) increases if \(m\) is increased.
(Q) \(f\) increases if \(F_A\) is increased.
(R) \(f\) increases if \(F_R\) is increased.
1. Only P is True.
2. Only Q is True.
3. P, Q are True.
4. Only R is True.
Q3:
From NCERT 
Subtopic:  Friction |
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The two blocks \(A,~B\) are connected by an inextensible string, and are lying on a horizontal surface. The blocks move under the action of forces of magnitudes \(F_1\) and \(F_2,\) as shown in the figure. The surface exerts non-zero frictional forces \(f_A,~f_B\) (towards right).

Consider the following situations:
(P) \(f_A,~f_B>0\) (Q) \(f_A,~f_B<0\)
(R) \(f_A>0,~ f_B<0\) (S) \(f_A<0,~ f_B>0\)

Which of the above, are possible? Assume that the string is taut.
1. (P) or (Q)
2. (R) or (S)
3. Any of (P), (Q), (R), (S)
4. Only (P)
Q4:
From NCERT 
Subtopic:  Friction |
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A \(2\) kg brick is placed on the ground as shown and it is symmetrically cut into two equal pieces by a plane \(AB,\) which is at \(45^{\circ}\) with the horizontal. The system remains at rest. The force of friction on the upper piece due to the lower is: (Take \(g\) = \(10\) m/s2)
                      
1. \(10\) N
2. \(10 \sqrt 2\)  N
3. \(5 \sqrt 2\) N
4. \(5\) N
Q5:
From NCERT 
Subtopic:  Friction |
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A block of mass \(5\) kg requires a minimum horizontal force of \(20\) N to cause it to move. Take \(g=10\) m/s2. Let \(\mu_s\) be the coefficient of static friction, and \(\mu\small{_ k}\) be that of kinetic friction.
             
1. \(\mu_s=0.4\)
2. \(\mu_s=\mu{\small_k}=0.4\)
3. \(\mu{\small_ k}=0.4\)
4. \(\mu_s\geq0.4\)
Q6:
 51% From NCERT 
Subtopic:  Friction |
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