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GATE 2022 BM – Question 45

Biomechanics · Joint Forces and Equilibrium · 2 marks · Multiple choice

The deltoid muscle holds the arm outstretched as shown. Arm weight W=30 N acts downward 30 cm horizontally from the shoulder joint. Muscle attachment is 15 cm from the joint and muscle tension makes 20° with horizontal. Find tension in N.

Diagram for GATE 2022 BM question 45
  1. 31.9
  2. 63.8
  3. 87.7
  4. 175.4

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Show answer and explanation

Correct answer: (D) 175.4

Explanation

Take moments about the shoulder joint, eliminating its reaction. Muscle moment is T×.15×sin20°, balancing the weight moment 30×.30=9 N m. Thus T=9/[.15sin20°]≈175.43 N. Choose D. Only the vertical component of muscle tension contributes to this moment.

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