In the figure F1,F2 are force vectors with magnitude shown. (A) Express each force in cartesian vector form (B) Determine the magnitude and coordinate direction angles of the resultant vector FR- (C) Draw the resultant vector. Make sure you label the axis, vector and angles.

(Look at figure) Determine the magnitude and coordinate direction angles of the resultant force and sketch this vector on the coordinate system.

Express a vector in Cartesian Vector Form for the following: Magnitude of Force: F= 864 Ib Line of action of force passes through points from A (12,6,-5) towards B (-5,2,-3). What is the x (f) component of the force vector rounded to one decimal place? Enter your answer as positive or negative.

a) Determine the coordinate direction angle each force makes with the coordinate axes (i.e. a1, B1, yı for F1 and a2, B2, y2 for F2) from the components of unit vectors acting in the direction of Fr and F2 (Note: Force F2 is on the yz-plane). Express F1 and F2 as Cartesian vectors. Check your results by calculating the magnitudes of each vector. F2 = 80 kN F, = 50 kN 5 15 30° 3 4 y b) Determine the angle 0 between forces F1 and F2: F2 = 80 kN F, = 50 kN %3D 5 15 30 3 4 y Determine the magnitudes of the projection of the force F onto the u and v axes, Fu and Fv, respectively. Also, determine the components perpendicular to the u and v axes, Ful and Fy1. (Note: The v-axis points vertically upward perpendicular to the surface to which the hook is bolted.) ul F= 50 N 15 n° 105

Answer true or false in response to the following questions: (a) A force has zero moment about any point along its line of action. (b) A force has no moment about a line parallel to its line of action. (c) The magnitude of the moment of a force about a line equals the product of the component of the force perpendicular to the line and the distance between this component and the line. (d) The moment about a point P of the sum of a set of concurrent forces, placed at the point of concurrency (point P), equals the sum of the moments about P of the separate forces. (e) A couple has the same moment about any point. (f) If we know the moment of a couple about a point A, then we can find the moment of the couple about a specified line BC even if A does not lie on BC. (g) Two force and couple systems are equipollent if they have either the same resul- tant force or if the moments about some point P are the same for both systems. (h) It is possible for a system consisting of a single couple to…

Problem 1 Four forces act on a bracket as shown in Figure 1. (a) Using graphics, determine the resultant (magnitude and direction) as well as the moment of the resultant about point P. (b) Using rectangular components, determine the resultant (magnitude and direction) as well as the projection of the resultant onto the a-a axis. Hint: set up the graphical scale for both lengths and forces. y 2 KN P(-4 m, 3 m) 8 KN 30 25° 4 KN 200 200 6 KN ---- -X a

$ Magnitude R= Direction 8 = Three forces act on point : A = 60 N at 135°, B = and C in this diagram to the correct magnitudes and directions. When this has been done correctly the dotted vector will become solid. 50 N at -45° and, C= 75 N at 60° 2. Pick up vectors A, B and C by their tails, and move them into a tip to tail arrangement. When this has been correctly done the resultant R will appear. measured Estimate the magnitude and direction of the resultant Based on this diagram, estimate the magnitude R and direction of the resultant. from the force R using the tip-to-tail method. 1. Move the tips of forces A, B, Submit part Submit part