Virtual Work

A force is being applied by a pneumatic cylinder to a lever, according tot the diagram below.

If \( a = 500\text{ mm}\) and \(b = 500\text{ mm}\) and, at a specific moment, and \(\phi = \frac \pi3\) radians, then calculate the magnitude (neglect + or - sign) of the resulting torque around point C in \(\text{Nm}\).

Details and Assumptions:

  • Assume points A and C to be fixed points, distances \(a\) and \(b\) represent solid rods.

  • Assume the force in the cylinder to be \(400\text{ N}\).

  • Assume that the construction is frictionless and weightless.

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