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 0.069 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 6.9 m/s in 0.12 s, starting from rest.

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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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
0.069 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 6.9 m/s in 0.12 s, starting from rest.
Number
A
Units
Axis at elbow joint
M
0.28 m
0.025 m
Transcribed Image Text: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 0.069 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 6.9 m/s in 0.12 s, starting from rest. Number A Units Axis at elbow joint M 0.28 m 0.025 m
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