The drawing shows a model for the motion of the human forearm in throwing a dart

Question

The drawing shows a model for the motion of the human forearm in throwing a dart. Because of the force M applied by the triceps muscle, the forearm can rotate about an axis at the elbow joint. Assume that the forearm has the dimensions shown in the drawing and a moment of inertia of 0.053 kg m^2 (including the effect of the dart) relative to the axis at the elbow. Assume also that the force m acts perpendicular to the forearm. Ignoring the effect of gravity and any frictional forces, determine the magnitude of the force m needed to give the dart a tangential speed of 5.5 m/s in 0.12 s, starting from rest.

Explanation / Answer

The moment of inertia I = 0.053 kg.m^2

the tengential speed of the dart vT = 5.5m/s

the time taken t = 0.12s                   

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