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A weight W hangs by a string. It is pushed aside by a horizontal force until the string makes an angle of 30° with the vertical. The tension in the string is
  • a)
    W
  • b)
    2/√3W
  • c)
    2W
  • d)
    3W
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
A weight W hangs by a string. It is pushed aside by a horizontal forc...
T cos 30° = W
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A weight W hangs by a string. It is pushed aside by a horizontal forc...
Understanding the Situation:
- We have a weight W hanging by a string.
- The string makes an angle of 30° with the vertical due to a horizontal force acting on the weight.

Analysis of Forces:
- The weight W acts vertically downwards.
- The tension in the string acts at an angle of 30° with the vertical.
- Resolving forces horizontally and vertically, we find:
- Tension in the string = W / sin(30°) = W / (1/2) = 2W

Calculation of Tension:
- The tension in the string is found to be 2W.
Therefore, the correct answer is option 'B' which is 2/√3 W.
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A weight W hangs by a string. It is pushed aside by a horizontal force until the string makes an angle of 30° with the vertical. The tension in the string isa)Wb)2/√3Wc)2Wd)3WCorrect answer is option 'B'. Can you explain this answer?
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