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The perpendicular distance (d) between rod AB and the line of action of P.
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Answer to Problem 3.64P
The perpendicular distance (d) between rod AB and the line of action of P is
Explanation of Solution
Given information:
The length of the vertical rod CD
The length of the rod AB
The force (P) is 235 lb.
The distance between the points O to B (x) is 32 inch.
The distance between the points O to A (y) is 24 inch.
The vertical height of OA
The vertical height of OH
The horizontal distance between point O and midpoint C
The horizontal distance between midpoint C and point G over x axis
The horizontal distance between point B and midpoint C
The horizontal distance between midpoint C and point G over z axis (h) is 18 inch.
Calculation:
Calculate the position vector of AB using the relation:
Substitute 32 in. for x, 30 in. for
Calculate the unit vector of AB
Substitute
Apply the force P at the point G.
Calculate the position vector of from point G to point B
Substitute 32 in. for x, 16 in. for
Calculate the position vector of DG using the relation:
Substitute 21 in. for
Calculate the force
Substitute 235 lb for P,
Calculate the position vector at P
Substitute
Calculate the angle between AB and P
Substitute
Calculate the moment about AB
Substitute
Calculate the perpendicular distance (d) between rod AB and the line of action of P:
Take moment about AB:
Substitute 235 lb for P and
Thus, the perpendicular distance (d) between rod AB and the line of action of P is
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Chapter 3 Solutions
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