While cutting a piece of paper, a person exerts the two indicated forces on a paper cutter. Reduce the two forces to an equivalent force-couple system at corner O and then specify the coordinates of the point P in the x-y plane through which the resultant of the two forces passes. The cutting surface is 20" x 20". Part 1 21 lb 2-220 A Question 1: 12" Your answer is partially correct. 9" Answer: F = ( 0 5" There are 2 distinct questions here. We will solve the first question now. 15 lb Replace the two forces shown by an equivalent force-couple system at point O. Find the force part of the force-couple system. i+ 2" 0 j+i 117 k) lb

Three forces are applied in a plane. A reference 10 × 10 grid of this space is defined by the four points P0, P1, P2, P3 as shown in the ?figure. Lengths are expressed in m, and forces in N. Find graphically: 1. the resultant R⃗ for the system of forces. 2. the equivalent force-couple system at point P3.

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 = M = 280 N i 395 N d = i Force-couple system at A. The force is positive if to the right, and the couple is positive if counterclockwise. Single resultant force. 210 N 670 mm 670 mm 670 mm N N.m mm

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

Q1: The magnitude of force vector F is given as 160 N. 15 m B a. Represent force F in terms of its Cartesian component vectors. 18 m b. Consider axis CD. Find out a component vector of F which is parallel, and another component vector which is perpendicular to axis CD. D 25 m

Determine the resultant of the forces shown in Figure P6-13. Find the coordinates. Iy 10 kN X 'N 25 KN 15 kN FIGURE P6-13

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 70 mm 40 mm C 40 mm 120 mm Z 245° - X 1000 N 600N 60° D E(150 mm, -50 mm, 100 mm) 110 mm B/ y 1 45° 30° X

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Using the ANALYTICAL method, determine the resultant of the two forces, both magnitude and direction (angle between the line of action of resultant and the x-axis).

Replace the force system shown in figure, with a single resultant force. Determine the distance where its line of action intersects the leg AB measured from point A. 3 ft 190 lb 6 ft 450 lb-ft 75 lb 4 ft 250