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A mirror of weight 75N is hung by a cord from a hook on the...

Physics
JAMB 2006

A mirror of weight 75N is hung by a cord from a hook on the wall. If the cord makes an angle of 30o with horizontal, the tension in the cord is

  • A. 100N
  • B. 1500N
  • C. 250N
  • D. 150N
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Correct Answer: Option D
Explanation

For vertical equilibrium, we have
2Ty = 75N
But \(\frac{Ty}{T}\) = \(\frac{adj}{hyp}\) = cos 60º
∴ Ty = T Cos 60º
=> 2Ty = 2Tcos 60º = 75N
2 x T x 0.5 = 75 => T = 75N
∴ Total tension in the rope = 2 T.
= 2 x 75 = 150N

There is an explanation video available below.


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