Problem 1 (Lecture 03) Three forces act on the bracket shown to the right. Note that for this problem, the direction (0) of F1 is measured from the positive x' axis, positive clockwise. Complete the following: a) Determine the direction (0) and magnitude of F₁ so that the overall resultant force is directed along the positive x' axis and has a magnitude of 1 kN. b) Determine the unit vector u₂ (in Cartesian notation) for the direction of F2. y Ꮎ F₁ F₂ 45° 30° = 450 N F3 = 200 N X

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.

Please include "Given, Find, and Solution" parts as well as Free Body Diagram. Thank you.

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

The screw-eye shown below experiences two forces. +ve Y axis 10⁰ Direction: 0= X KN KN YN Given that X = 13 kN and Y = 500 N calculate the magnitude and direction of the resultant force. Enter your answer for the magnitude in kN and the direction in degrees with respect to the positive x-axis, both correct to three significant figures in the appropriate boxes below. Magnitude: R= degrees 15° +ve X axis

What are the components of the unit vector along line AB? Given that the unit vector along BC ??̂ =< −0.690, 0.6054, 0.3968 >, what is the scalar value of the moment of the tension force in BC around line OA    Please show/ provide all written steps for learning and understanding. Thank you!

Help!!!!! Please answer clearly (numerically)

Three water skiers are pulled by a boat as shown. Determine the resultant force of the waterskiers and the direction of the resultant measured counterclockwise from the positive x-axis. Draw theresultant force and label the computed angle on an x-y coordinate system. (I need some help on this please)

Please help me. Thank you. Kindly show the complete step-by-step solution. Please make sure that your handwriting is understandable and the picture of the solution is clear. I will rate you with “like/upvote” afterwards.   Given Problem: Please see the attached photo.

Problem 2 For the system of forces shown to the right, complete the following: a) Represent force F1 in Cartesian notation b) Represent force F1 in scalar notation (use cylindrical coordinate directions and y) c) Represent force F2 in Cartesian notation d) Determine the magnitude of the resultant of the forces D 120% 60° This line is parallel to the x-axis F₂ = 400 N 45° This area is in the x-y plane y 35° F₁ = 25° = 250 N This line is parallel to the z-axis