A horizontally outstretched arm supports a weight of 21 lb in a hand (see figure). If the distance from the shoulder to the elbow is 1 ft and the distance from the elbow to the hand is 1 ft, find the magnitude and describe the direction of the torque about (a) the shoulder and (b) the elbow. (The units of torque in this case are ft-lIb.)

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
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A horizontally outstretched arm supports a weight of 21 lb in a hand (see figure). If the distance from the shoulder to the elbow is 1 ft and the distance from the elbow to the hand is 1 ft, find the magnitude and describe the direction of the torque about (a) the shoulder and (b) the elbow. (The units of torque in this case are ft-lIb.)
S
1 ft
1 ft
F
Transcribed Image Text:S 1 ft 1 ft F
Expert Solution
Step 1

Solution:

(a) The magnitude of the torque about the shoulder can be calculated using the equation

torque = force * distance * sin(θ),

where theta is the angle between the force and the perpendicular line drawn from the axis of rotation to the line of action of the force.

 

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