ISRO Mechanical & Aerospace 2023 - Question 7

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Topic: Theory of Machines

The configuration of a planar four bar mechanism with frictionless joints is shown in the figure below. The length of the links are L1 = 40 mm, L2 = 15 mm, L3 = 35 mm and L4 = 30 mm. The suffixes 1, 2, 3 and 4 represents the fixed, input, coupler and output link respectively. If Ti and To are the torque to the input and output link, what is the mechanical advantage (To/Ti) of the mechanism?

  • A. 2
  • B. 0.5
  • C. Infinity
  • D. 0

Answer: C. Infinity

Explanation: In the given configuration, links 2 and 3 are collinear (180 degrees). This is a toggle position where a finite input torque creates an infinite output torque (theoretically) because the mechanical advantage becomes infinite. The ratio of output torque to input torque (To/Ti) approaches infinity.

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