Q. No.The system is at rest initially, due to the force of friction acting on \(A\). If the string connecting the lower blocks is cut, the accelerations of the blocks \(A\), \(B\) & \(C\) will be, respectively,
1.
\(\dfrac g 3\) to left, \(g\) upward, \(g\) downward.
2.
zero, zero, \(g\) downward.
3.
zero, \(g\) upward, \(g\) downward.
4.
\(g\) to right, zero, \(g\) downward.
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| 1. | \(\dfrac{3 g}{5} ~\text{down}\). | 2. | \(\dfrac{6 g}{5}\text{ down}\). |
| 3. | \(\dfrac{g}{5}\text{ down}\). | 4. | \(\dfrac{11 g}{5}\text{ down}\). |
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1. to the right.
2. to the left.
3. upward.
4. downward.
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| 1. | \(k_1x-k_2x=ma \) |
| 2. | \(\dfrac{k_1k_2}{k_1+k_2}x=ma \) |
| 3. | \(k_1x+k_2x=ma \) |
| 4. | \(\dfrac{k_1k_2}{k_1-k_2}=ma \) |
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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)
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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. |
2. Only Q is True.
3. P, Q are True.
4. Only R is True.
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| 1. | \(\dfrac{E_m}{m}=\dfrac{E_M}{M}\) | 2. | \(mE_m=ME_M\) |
| 3. | \(\dfrac{E_m}{m^2}=\dfrac{E_M}{M^2}\) | 4. | \(m^2E_m=M^2E_M\) |
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1. \(g\)
2. \(g~\text{sin}30^{\circ}\)
3. \(g~\text{cos}30^{\circ}\)
4. \(g~\text{tan}30^{\circ}\)
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The relative acceleration of the blocks has the magnitude:
1. \(\dfrac{g}{5}\)
2. \(\dfrac{2g}{5}\)
3. \(\dfrac{3g}{5}\)
4. \(\dfrac{4g}{5}\)
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The work done by tension on the \(3\) kg block has a magnitude \(W_1\) while the work done by gravity on the same block has a magnitude \(W_2,\) since the beginning of motion.
| 1. | \(W_1=W_2\) |
| 2. | \(W_1>W_2\) |
| 3. | \(W_1<W_2\) |
| 4. | Any of the above can be true |
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