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
Want to see more full solutions like this?
Chapter 3 Solutions
VECTOR MECHANICS FOR ENGINEERS: STATICS
- The combined moment of the two forces, each of magnitude P, about point A is zero. Determine the distance d that locates A.arrow_forwardThe couple acts on the handles of a steering mechanism. In the position shown, the moment applied by the couple about the z-axis is zero. Determine the distance b. Use F=150i90j+60kkN.arrow_forwardThe four forces shown act on the rollers of an in-line skate. Determine the equivalent force-couple system, with the force acting at O (the ankle joint of the skater).arrow_forward
- The figure shows one-half of a universal coupling known as the Hooke's joint. The coupling is acted on by the three couples shown: (a) the input couple consisting of forces of magnitude P, (b) the output couple C0, and (c) the couple formed by bearing reactions of magnitude R. If the resultant of these couples is zero, compute R and C0 for P=750lb.arrow_forwardA couple of magnitude 3601b ft is applied about portion AB of the drive shaft (the drive shaft is connected by universal joints at points B and C). Compute the moment of the applied couple about the portion CD when the drive shaft is in the position shown.arrow_forwardIn Prob. 3.25, determine the perpendicular distance from point D to a line drawn through points B and C.(Reference to Problem P3.25):A 6-ft-long fishing rod AB is securely anchored in the sand of a beach. After a fish takes the bait, the resulting force in the line is 6 lb. Determine the moment about A of the force exerted by the line at B.arrow_forward
- Three forces of the same magnitude P act on a cube of side a as shown. Replace the three forces with an equivalent wrench and determine (a) the magnitude and direction of the resultant force R, (b) the pitch of the wrench, (c) the axis of the wrench.arrow_forwardIn Prob. 3.55, determine the perpendicular distance between rod AB and the line of action of P.(Reference to Problem 3.55):The 23-in. vertical rod CD is welded to the midpoint C of the 50-in. rod AB. Determine the moment about AB of the 235-lb force P.arrow_forwardA hexagonal plate is acted upon by the force P and the couple shown. Determine the magnitude and the direction of the smallest force P for which this system can be replaced with a single force at E.arrow_forward
- A couple M and the three forces are applied to an angle bracket. Find the moment of the couple if the line ofaction of the resultant of the force system is to pass through (a) point A, (b) point B, and (c) point C.arrow_forwardIn Prob. 3.26, determine the perpendicular distance from point O to cable BD.(Reference to Problem P3.26):A precast concrete wall section is temporarily held by two cables as shown. Knowing that the tension in cable BD is 900 N, determine the moment about point O of the force exerted by the cable at B.arrow_forwardThe 23-in. vertical rod CD is welded to the midpoint C of the 50-in. rod AB Determine the moment about AB of the 235-lb force P.arrow_forward
- International Edition---engineering Mechanics: St...Mechanical EngineeringISBN:9781305501607Author:Andrew Pytel And Jaan KiusalaasPublisher:CENGAGE L