ISRO Mechanical & Aerospace 2017 - Question 7

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Topic: Engineering Mechanics

The bar AB weighs 10 kg per meter and is supported by cable AC and a pin at B. Reaction at B is (take g = 10 m/s²)

Figure for question 7, ISRO Mechanical & Aerospace 2017

  • A. 200 N, vertical
  • B. 200 N, at 30° to horizontal
  • C. 100 N vertical
  • D. 100 N at 60° to horizontal

Answer: B. 200 N, at 30° to horizontal

Explanation: The total weight of the rod is 10 kg/m * 2m * 10 m/s² = 200 N acting at the center. Taking moments about B, Tsin(30) * 2 - 200 * 1 = 0, so T = 200 N. Summing forces, R_BV = 100 N and R_BH = 173.2 N. The resultant reaction is 200 N at 30° to the horizontal.

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