Two blocks of masses 5 kg and 7 kg are connected by uniform rope of mass 4 kg as shown in the figure. An upward force F = 200 N is applied on the system. (Take g = 10 m/s^2)
The tension at the top of the heavy rope is
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Given:
Mass of Block 1 (m₁) = 7kg
Mass of Block 2 (m₂) = 5kg
Mass of Rope (mₐ) = 4kg
Force acting upward (F) = 200N
Accelration due to gravity(g) = 10 m/s²
Tension on top of heavy rope (T₁) = ?
Solution:
Total mass of the given system (M) = m₁+m₂+mₐ = 7+5+4 = 16kg
F = m*a
a =
a =
a = 2.5 m/s
Here they asking tension for top of heavy rope so we need to draw Free Body diagram (FBD) for 7kg block inorder to find it
F - m₁g - T₁ = m₁a (after drawing FBD)
Let us substitute the values,
200 - 7×10 - T₁ = 7a
200 - 70 - T₁ = 7×2.5
130-17.5 = T₁
T₁ = 112.5N
Hence the block would have tension of 112.5N at the top of the block
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Hey answer is provided above by some legend
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