Find the tension in the string connected to the block of mass 4kg. Assume the strings and pulleys to be ideal. (Take g=10m/s2)
A
1009N
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B
403N
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C
152N
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D
503N
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Solution
The correct option is B403N The given system can be reframed as shown
From constraint condition, we have
(i) ..L1+..L2=0⇒−a2+ap=0⇒ap=a2
(ii) ..L3+..L4=0⇒−ap−ap+a1=0⇒a1=2ap
Hence, a1=2a2
Hence, let acceleration of 2kg block is a upwards, and acceleration of 4kg block is 2a downwards.
Applying Newton's Second Law,
For 2kg body: 2T−20=2a ... (3)
For 4kg body: 40−T=4×2a ... (4)
From (3) and (4) 4×(2T−20)=40−T ⇒9T=120⇒T=1209
Thus, the tension in the string connecting 4kg mass is T=1209=403N