QUESTION 1(@)Three cables are used to hang the 120 kg cylinder as shown in Figure Q1(a) underequilibrium condition. All sizes are in meter.Express the position vector and force vector in cables AB, AC and AD in Cartesian vectornotation, and(i)Determine the magnitude of force in cables AB, AC and AD needed.3.64.53.2XBFigure Q1(a)

Answered: Image /qna-images/answer/46fbf23d-46be-480e-9fc4-8f320be5a7c9.jpg

Answered: QUESTION 1 (a) Three cables are used to…

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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27 Consider the vector a = -9i – 3j. (a) Find â. (b) Find the vector b in the direction of a with a magnitude of 5.
solve and show all the steps. B=5, C=0, D=5, E=7, F=9
(4) The two structural members, one of which is in 3 kN tension and the other in compression, exert the indicated forces on joint O. Determine the magnitude of the resultant R of the two forces and the angle 0 which the resultant vector makes with the +x-axis. Ans: R = 3.80 kN, 0=-21.6° (or 338°) 3 30° 2 kN
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[A] A force F has a magnitude of 15 newtons and has the same direction (but different magnitude) as the vector v = 2i+j+ 2k. This force pushes an object on a ramp in a straight line from the point P(4, 2, 5) to the point Q (5, 4, 8), where the coordinates are measured in meters. (A.1) Find the force F by writing it in terms of the standard unit vectors, i, j, and k. (A.2) Determine how much work is done by the force in moving the object from P to Q as described above. Round your answer to the nearest tenth of the approprite units.
(3) A force F of magnitude 600 N is exerted at point A by rod AB on crank OA as shown with 0 = 18° and ẞ = 32°. Determine the n- and t-components of the force and the unit vector ê based on both x-y and n-t coordinate axes. The n- axis is directed along line OA, and the t-axis is perpendicular to line OA. Ans: Fn=-145.2 N, F₁ = 582 N, ê = −0.530ê +0.848ê,, = −0.242ê„ +0.970ê, B BI -2
#9. Two forces act on an object: Force A: A = 444 N, 0A 222.0° Force B: B = 772 N, 0B = 47.8° Find the magnitude and direction of the resultant force.
Consider a wind velocity of 50 mi/h at an angle of 30° north of east. North 30° The magnitude of the vector is given: 50 mi/h Pre-Lab Question #1: Find x and y components of this example using trigonometry 1-D velocity example. Bob is truck surfing. The truck is traveling at +20 m/s. Bob can throw a ball a 10m/s. If he throws it in the + direction, what is the speed of the ball as observed by a roadsid observer? This is a vector addition problem. Starting with BallRelative ToEarthBallRelativeTo Truck T TruckRelaive ToEarth -+10m/s +20m/s =+30 m/s Pre-Lab Question #2: What if he throws it in the'-'direction? Solve: Three friends pull on a box in the directions shown below. What is the net force? Express magnitude and angle direction relative to the x axis. Solution: Again, first choose a suitable coordinate system. 120N the xy system shown. Then write each force using x and y components 100N 60° F3 20 F2
1. Solve the following vector equations, put your answers in parametric vector form, then compare your work and answers. 3 2 7 (a) 1 4 -1|0 3 2 7 14 (b) | 1 4 -1 8 3 2 7 -3 (c) 14 -1 9.
I need help with this question
2. Consider the vector quantity B = 13 N, 149⁰. (a) Without doing any calculation, what quadrant do you expect this vector to be in? Why? (b) Do you expect B, to be positive or negative? Do you expect B, to be positive or negative? (c) Calculate the a component B (d) Calculate the y component By (e) Use a Cartesian coordinate system to represent B as an arrow. Remember to label your axes and use an adequate scale.
Find the angle between two vectors a = (3,4,0) and b = (4,4, 2). cos-"() O b. cos-) cos-() d. cos ) a. C. esc DII F3 F7 @ 2$ & 7. 2 € 3 # Q W T Y A D F H

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