The hydraulic cylinder BC exerts on member AB a force P directed along line BC. The force P must have a 560-N component perpendicular to member AB. A M 45° 30° C Determine the force component along line AB. The force component along line AB is N.
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- *A cable is attached to bar OA and point A as shown. The tension in the cable is F = 400 N.* Pt A. Resolve for F into its vector components. Pt B. Use the dot product to find the magnitude of the projected component of the force along the pipe AO. Pt C. Use the cross product to find the moment force F exerts about point O. Report your results in vector component form.Use the rectangular component method to solve the fol- lowing problems. Determine the magnitude R of the re- sultant of the forces and the angles 6, 6, and 0, between the line of action of the resultant and the positive r-, y-, and z-coordinate axes for 2ft 2 2 f 2t F=600 Ib Fy- 700 Ib 2 ft F2= 800 IbDetermine the magnitude of the resultant force F(R). Determine the angle between the resultant force and the x axis. And finally specify where the resultant’s line of action intersects member AB, measured from point A. (y = ….. ft above A)
- 1. The rectangular framework shown in the next slide is subjected to the indicated non-concurrent system of forces. Determine the magnitude and direction of the resultant, also its moment arm relative to the origin O. Y 15 kips 12 kips 53 10 ft 50 8 kips 7 ft 69 5 kips 13 kipsB 4. The man pulls on the rope at C with a force FA of 70 lb which causes the forces FA and FC Fc at B to have this same magnitude. 8 ft Determine the magnitude and coordinate 5t direction angles of the resultant force 5 ft, 1 ft acting at B. 7 ft 4 ft 7 ft 5 ftThe horizontal top of a concrete column is subjected to the system of forces shown. Represent the resultant of all forces as a force R at point O and a couple M. Also specify the magnitudes of R and M. 5 kN 0.5 m 3 kN 0.5 m 3 kN 0.5 m 2 kN 0.2 m 3 kN 1 kN 1 kN 2 kN Fozm 0.2 m 0.2 m Answers: R = ( i i+ i j+ i k) kN M = ( i i+ i j+ i k) kN-m R = i kN M = kN.m
- Use the rectangular component method to solve the fol- lowing problems. Determine the magnitude R of the re- sultant of the forces and the angle 6, between the line of action of the resultant and the x-axis for F- 160 N F2= 180 NThe streetlight A is attached to the end of the horizontal boom ABO. Thelight, which weighs 100 N, is subjected to a wind load of 20 N acting in the negative y-direction. The forces P and Q represent the tensions in the two cables thatare attached at point B. The resultant of the four forces shown is a force R actingat point O. Determine the tensions P and Q and the force R.Please don't provide handwritten solution...