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A uniform light beam XZ is Hinged at X and kept in equilibrium by the...

Physics
JAMB 1997

A uniform light beam XZ is Hinged at X and kept in equilibrium by the forces T and F as shown in the diagram above. if XO = 20cm and OY = 30cm, express T in terms of F

  • A. T =2√3/3
  • B. T= 2F
  • C. T = 5V3F/3
  • D. T = 5F
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Correct Answer: Option D
Explanation

Resolve T vertically and take a moment about x

T sin30º x 20 = 50 x F

T x 0.5 x 20 = 50F

T x 10 = 50F

T = \(\frac{50F}{10}\) = 5F


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