For the shift lever shown, determine the magnitude and the direction of the smallest force P that has a 210-lb-in. clockwise moment about B.
The direction and magnitude of the smallest force P that has
Answer to Problem 97RP
The direction and magnitude of the smallest force P that has
Explanation of Solution
Concept used:
Write the expression for angle
Write the expression for
Write the expression for the position vector of point A with respect to point B.
Write the expression for
Write the expression for the moment of P about B.
Calculation:
Substitute
Substitute
Substitute
Substitute
Conclusion:
Thus, the direction and magnitude of the smallest force P that has
Want to see more full solutions like this?
Chapter 3 Solutions
Statics and Mechanics of Materials
- Given that T=43kN and W=38kN, determine the magnitude and sense of the moments about point B of the following: (a) the force T; (b) the force W; and (c) forces T and W combined.arrow_forwardThe 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_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_forwardA crate of mass 80 kg is held in the position shown. Determine (a) the moment produced by the weight W of the crate about E, (b) the smallest force applied at A that creates a moment of equal magnitude and opposite sense about E, (c) the magnitude, sense, and point of application on the bottom of the crate of the smallest vertical force that creates a moment of equal magnitude and opposite sense about E.arrow_forwardTwo bolts at A and B are used to move the trunk of a fallen tree. Replace the forces exerted by the ropes with an equivalent wrench and determine (a) the resultant force , (b) the pitch of the wrench, (c) the point where the axis of the wrench intersects the yz plane.arrow_forward
- In 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_forwardFor the force system acting upon the frame shown, determine the magnitude and sense of theresultant moment produced by the force system about point Aarrow_forwardA machine component is subjected to the forces shown, each of which is parallel to one of the coordinate axes. Replace these forces with an equivalent force-couple system at A.arrow_forward
- International Edition---engineering Mechanics: St...Mechanical EngineeringISBN:9781305501607Author:Andrew Pytel And Jaan KiusalaasPublisher:CENGAGE L