Consider the situation shown in figure. All pulley and strings are light. Acceleration of block m 1 , m 2 and m 3 are a 1 , a 2 and a 3 respectively. Assuming that all the blocks are undergoing pure translator motion, match the following–

Column I | Column II |
(i) m1 = 2 kg, m2 = 4 kg m3 = 6 kg | [A] a1 = 0 |
(ii) m1 = 4 kg, m2 = 3.2 kg, m3 = 6 kg | [B] a2 is in upward Direction |
(iii) m1 = m2 = 2 kg, m3 = 9 kg | [C] a3 = 0 |
(iv) m1 = 1 kg, m2 = 8 kg, m3 = 6 kg | [D] a3 is in downward direction |
Text Solution
Verified by ExpertsCHECK THE SOLUTION.
(i)-[A], [C], (ii)-[B], [C], (iii)-[A], [B], [D], (iv)-[C]
Sol. Consider case A:
m 1 = 2 kg, m 2 = 4 kg, m 3 = 6 k

Let us assume a 3 = 0
⇒ Τ = 20 Ν
⇒ a 1 = a 2 = 0
Consider case B:
m 1 = 4 kg, m 2 = 3.2 kg, m 3 = 6 kg
T = 20 N
m 1 m 2

Net force on m 1 is in downward direction while on ‘m 2 ’ is in upward direction.
Similar logic for ‘C’ and ‘D’.
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