Please explain the above problem. The answer is T1=96,T2=56
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Refer the picture given above...
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Given:-
- Applied force = F = 120 N
- Surface is smooth.
To find:-
- tension in the string between 3 kg and 5 kg block = T₁
- tension in the string between 5 kg and 7kg block = T₂
Answer:-
Refer to he attachment for F.B.D.
We know that,
Net force = net mass * acceleration
In this case, T₁ and T₂ get cancelled (refer to FBD) and the net force is only the applied force = F = 120 N
Net mass = net mass = 3 kg + 5 kg + 7 kg = 15 kg
So,
120 = 15 * a
→ a = 8 m/s²
This acceleration will be same for all the three blocks.
Now, considering the first block,
F = ma
From FBD,
→ 120 - T₁ = 3 * 8
→ 120 - T₁ = 24
→ T₁ = 120 - 24
→ T₁ = 96 N Ans
Now considering the third block,
F = ma
From FBD,
→ T₂ = 7 * 8
→ T₂ = 56 N Ans
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