A 300-N force P is applied at point A of the bell crank shown. (a) Compute the moment of the force P about O by resolving it into horizontal and vertical components. (b) Using the result of part a, determine the perpendicular distance from O to the line of action of P.
(a)
The moment of the force P about O
Answer to Problem 3.147RP
The magnitude of the moment is about O is
Explanation of Solution
The magnitude of P is
Write the expression for the vector from O to A.
Here
Write the expression for the force vector
Write the expression for the moment at O.
Here
Conclusion:
Substitute (I) and (II) in the above equation to calculate
Thus, the magnitude of moment at O is
(b)
The perpendicular distance from the point O to
Answer to Problem 3.147RP
The perpendicular distance from the point O to
Explanation of Solution
The magnitude of moment at O is
Write the expression to calculate the perpendicular distance from the point O to force
Here
Conclusion:
Substitute
Thus, the perpendicular distance from the point O to
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Chapter 3 Solutions
Vector Mechanics for Engineers: Statics