The values of
Determine the resultant of each force system and show it on a sketch of the coordinate system.
(a)
The resultant of force system and show it on a sketch of the co-ordinate system.
Answer to Problem 3.30P
The resultant force is -50 k lb.
The resultant moment of the system is
The force system is shown in the co-ordinate system.
Explanation of Solution
Given:
ΣFz = -50 lb.
ΣMX = -250 lb-ft.
ΣMY = 200 lb-ft.
Concept Used:
Calculation:
Let a and b be the distances from the x and y- axes respectively.
Conclusion:
The resultant force is -50 k lb.
The resultant moment of the system is
The force system is shown in the co-ordinate system.
(c)
The resultant of force system and show it on a sketch of the co-ordinate system.
Answer to Problem 3.30P
The resultant force is
The resultant moment of the system is
The force system is shown in the co-ordinate system.
Explanation of Solution
Given:
ΣFz = 50 kN.
ΣMX = 0
ΣMY = -250 kN-m.
Concept Used:
Calculation:
Let a and b be the distances from the x and y- axes respectively.
Conclusion:
The resultant force is
The resultant moment of the system is
The force system is shown in the co-ordinate system.
(c)
The resultant of force system and show it on a sketch of the co-ordinate system.
Answer to Problem 3.30P
The resultant force is
The resultant moment of the system is
The force system is shown in the co-ordinate system.
Explanation of Solution
Given:
ΣFz = 40 N.
ΣMX = 320 N.m.
ΣMY = -400 N-m.
Concept Used:
Calculation:
Let a and b be the distances from the x and y- axes respectively.
Conclusion:
The resultant force is
The resultant moment of the system is
The force system is shown in the co-ordinate system.
Want to see more full solutions like this?
Chapter 3 Solutions
International Edition---engineering Mechanics: Statics, 4th Edition
- The magnitude of the force F is 55 lb. Calculate the moment of F about the x-axis using (a) the scalar method; and (b) the vector method.arrow_forwardThe three forces of magnitude P can be replaced by a single, equivalent force R acting at point A. Determine the distance x and the magnitude and direction of R.arrow_forwardThe forces P1=110lb,P2=200lb, and P3=150lb are equivalent to a single force R. Determine (a) the magnitude of R; and (b) the coordinates of the point where the line of action of R crosses the yz-plane.arrow_forward
- The force-couple system consists of the force R=250i+360j400kN and the couple-vector CR=1200i+750j+560kNm. Determine the equivalent wrench and find the coordinates of the point where the axis of the wrench crosses the xy-plane.arrow_forwardDetermine the moment of the force F=9i+18jlb about point O by the following methods: (a) vector method using rF; (b) scalar method using rectangular components of F; and (c) scalar method using components of F that are parallel and perpendicular to the line OA.arrow_forwardThe three forces acting on the pole are equivalent to a single force R. Determine (a) the magnitude of R; and (b) the coordinates of the point where the line of action of R crosses the xy-plane.arrow_forward
- Find the resultant force vector,R, of the three vectors A,B, and C (i.e., add the vectors), if the magnitude of vector A is 10N, the magnitude of vector B is 17N, and the magnitude of vector C is 9N. Your answer should be in the form R = Rx i+ Ry j, where you determine Rx and Ry, and where i, and j are the unit vectors along the x, and y axis, respectively. YA В A 60° 45°arrow_forwardFind the resultant of the concurrent force system Determine ΣX and ΣY, R and the angle.arrow_forwardthe x-component of the force isarrow_forward
- F = 525 N 0 6: Determine the magnitude and coordinate direction 120 angles of the resultant force, and sketch this vector on 45° the coordinate system. F = 450 Narrow_forwardCompute the direction and magnitude of the resultant of the following system of coplanar and concurrent forces: 20 N, 40 N, 25 N, 42 N, and 12 N making an angle of 30°, 120°, 180°, 270°, and 315°, respectively with the positive direction of the x-axis.arrow_forwardFind the magnitude of the given vectorarrow_forward
- International Edition---engineering Mechanics: St...Mechanical EngineeringISBN:9781305501607Author:Andrew Pytel And Jaan KiusalaasPublisher:CENGAGE L