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According to Kennedy's theorem, the instantaneous centre of three bodies having relative motion lie on a :

  • A.centre of curvature
  • B.curved path
  • C.straight line
  • D.point

Answer: C

The three instantaneous centres lie on a straight line.

Kennedy's theorem, the theorem of three centres, states that if three bodies have plane motion relative to one another, their three instantaneous centres lie on one straight line. It is used to locate instantaneous centres that cannot be found by inspection.

The centres are three distinct points in general, so they cannot coincide at a single point, and the theorem says nothing about a curved path or a centre of curvature.

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