Q.5) Three forces are applied to bracket as shown in figure below. Replace the given force system by a resultant force system acting at point O. Then replace the resultant force system by the simplest resultant and locate its line of action as it passes through the y-z plane. y 800 N -ve z 45° 70 mm 40 mm y 40 mm 120 mm 12 45° X 1000 N 60° D E(150 mm, -50 mm, 100 mm) 110 mm B 600N 30° x

*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.

Determine 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)

Replace the three forces shown by an equivalent force-couple system at point A. If the forces are replaced by a single resultant force, determine the distance d below point A to its line of action. Answers: R= i M= i 160 N 290 N d = Single resultant force. i www Force-couple system at A. The force is positive if to the right, and the couple is positive if counterclockwise. 300 N 650 mm 650 mm 650 mm N N.m mm

Determine the resultant R of the system of distributed loads and locate its line of action with respect to the left support for y 400 Ib/ft 300 Ib/ft 150 Ib/ft A 7 ft 8 ft

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Find the resultant of the following concurrent forces graphically and analytically: FI=100N 37° counterclockwise from the +x-axis F2-100N 50° clockwise from the -x-axis F3-80 N 233° counterclockwise from the +x-axis

Find the magnitude and direction of the resultant for system of forces shown in the figure. Take F1= 40 kN, F2 = 55 kN, F3 =45 KN, F4 = 15 kN, 3 = 45° and 94 = 40° F3 F24 "L 03 e4 F₁ (NOTE: ENTER ONLY THE VALUES BY REFERRING TO THE UNITS GIVEN IN THE BRACKET) F4 The summation of horizontal component in KN is The summation of vertical component in (kN) is The magnitude of Resultant in (kN) is The direction of Resultant in degrees is

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 8, , and 8, between the line of action of the resultant and the positive *-, y, and z-coordinate axes for F2 = 20 KN F,= 10 kN i67

If R is the vector sum of the forces P and Q  and all three forces lie in the x-y plane, find the force magnitudes P and Q.