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Answer :
To determine the moment about AB of the 235 lb force P acting on the vertical rod CD, we need to consider the perpendicular distance between the line of action of the force and the point of interest (in this case, point A or B on the horizontal rod AB).
Given:
Length of rod CD (vertical rod): 23 in
Length of rod AB (horizontal rod): 50 in
Force P: 235 lb
Since the vertical rod CD is welded to the midpoint C of the horizontal rod AB, the perpendicular distance between the line of action of force P and the point A or B on rod AB is half of the length of rod AB.
Perpendicular distance from P to AB = 0.5 * length of AB = 0.5 * 50 in = 25 in
The moment about AB can be calculated using the formula:
Moment about AB = Force P * Perpendicular distance
Moment about AB = 235 lb * 25 in
Calculating the moment about AB:
Moment about AB = 5,875 lb-in
Therefore, the moment about AB of the 235 lb force P is 5,875 lb-in.
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