Chapter 09, Problem 40 Multiple-Concept Example 10 reviews the approach and some

Question

Chapter 09, Problem 40 Multiple-Concept Example 10 reviews the approach and some of the concepts that are pertinent to this problem. The figure shows a model for the motion of the human forearm in throwing a dart. Because of the force M rightarrow 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 figure and a moment of inertia of 0.057 kg-m2 (including the effect of the dart) relative to the axis at the elbow. Assume also that the force M rightarrow acts perpendicular to the forearm. Ignoring the effect of gravity and any frictional forces, determine the magnitude of the force M rightarrow needed to give the dart a tangential speed of 4.9 m/s in 0.13 s, starting from rest. Number Units

Explanation / Answer

torque = I*W/t = I*V/L*t ..............

torque = F*r *sin90.............

I*V/ L t = F*r ...............

F = 0.057*4.9/(0.28*0.13*0.025)= 306.923 N

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