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The transmission angle is maximum when the crank angle with fixed link is :

  • A.270°
  • B.0°
  • C.90°
  • D.180°

Answer: D

The transmission angle is maximum when the crank angle is 180°.

In a four-bar mechanism with crank length a and fixed link d, the distance between the crank pin and the fixed pivot of the output link is

\[ BD^2 = a^2 + d^2 - 2ad\cos\theta \]

The transmission angle μ is the angle opposite BD in the triangle formed with the coupler and the output link, so it grows as BD grows. BD is longest when cos θ = −1, that is at θ = 180°, which gives the maximum transmission angle. At θ = 0° BD is shortest and the transmission angle is minimum. At 90° and 270° it takes intermediate values.

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