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Theory of Machines Miscellaneous

  1. In a cam design, the rise motion is given by a Simple Harmonic Motion (SHM) s =
    h
    1 - cos
    πθ
    2β

    where h is total rise, θ is camshaft angle, β is the total angle of the rise interval. The jerk is given by
    1. h
      1 - cos
      πθ
      2β

    2. π
      h
      sin
      πθ
      β2β

    3. π²
      h
      cos
      πθ
      β²2β

    4. -
      π³
      h
      sin
      πθ
      β³2β

Correct Option: D

The jerk is given by
d3s
dt3

If s =
h
1 - cos
πθ
2β

d3s
= -
π³
h
sin
πθ
dt3β³2β



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