FULL SCREEN PRINTER VERSION 1BACK NEXT NEXT Chapter 09, Problem 40 Multiple-Conc

Question

FULL SCREEN PRINTER VERSION 1BACK NEXT NEXT 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 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 0.065 kg-m2 (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 5.9 starting from rest. m/s in 0.12 s, Axis at elbow joigt 0.025 m Number Units the tolerance is +/-296

Explanation / Answer

Apply Kinematic equation

v= u+ at

5.9=0+a(0.12)

a= 49.166 m/s^2

angular accleration

alpha = a/R = 49.166/0.28 = 175.595 rad/s^2

The relation between torquew and angualr accleration is

T = I alpha

MR = I alpha

M = I alpha/R

=0.065 (175.595)/0.025)

=456.54 N

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