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- H.W 1 The magnitude of the resultant The resultant's slope R=107.9 N tan-(106.119.5)=79.6° R = 107.9 N p = 150 N f=100 N 79.65° (10.4 30° T= 50 NGiven the following figure: 0.5 m 500 N 1 m f0.2 m 30° 250 N 1 m 300 N 1 m 1. Solve for the moment about point A. (N-m) а. 441.02 CW b. 441.02 CCW c. None of the above d. 1041.03 CW е. 1041.03 СCW 2. Solve for the resultant force. (N) a. none of the above b. 542. 31 с. 300 d.-533.01 e. 100 3. Solve for the resultant force about the y-axis. (N) a. none of the above b. 542. 31 С. 300 d.-533.01 е. 100Use the vector approach to find the moment of F, about the x' axis. a) Write your answer as a Cartesian vector in terms of i, j, and k. b) Find the coordinate direction angles of the moment from part (a). F, = {-200i + 150j + 300k}N 4m 2m 2.5m B Hint: Start by defining all vectors in terms of i, j, and k, not i', j', and k. 30 30 F, = {10i + 400j - 200k}N
- What is the magnitude of the moment done by the force about point "O" in the following figure. Hint: Determine the moment of the force 'F' in Cartesian vector form then deduce the magnitude. 4 m F = = (60i – 30j – 20k)N 7 m 4 m 6 m 2 m Select one: a. 600 N.m b. 260 N.m c. 180 N.m d. 510 N.mENTER YOUR ANSWER THE WAY I SPECIFY HERE IN ADDITION TO DOING IT ON SCRATCH PAPER Copyright © McGraw-Hill Education. Permission required for reproduction or display. -3.6 m A 2400 N 2.7 m D 2.7 m F E -4.8 m a. Determine the vertical component Cy and its direction at C (use "up" or "down"); enter your answer as a whole number. b. Determine the vertical component Ay and its direction at A (use "up" or "down"); enter your answer as a whole number. Example If Cy=300.5 N in the positive direction and if Ay=200.3 N in the negative direction, enter 301up;200down in that order. B CWhat is the magnitude of the moment done by the force about point "O" in the following figure. Hint: Determine the moment of the force 'F' in Cartesian vector form then deduce the magnitude. 4 m F = [60i – 30j – 20k} N| 3 m -7m 4 m 6 m- 2 m Select one: a. 260 N.m b. 180 N.m c. 600 N.m d. 510 N.m
- QUESTION 4 Find the resultant vectors. This referes to Question 4 on the PDF v Horizontal 3ON and Vertical 60N A. 67.1N @ 116.6 below the horizon v Horizontal 3ON and Velucal -60N B. 67.1N @ 63.4 above horizon v Horizontal -30N and Vertical 60N C. 67.1N @ 243.4 from the horizon v Horizontal -30N and Vertical -60N D. 67.1N @ -63.4 below the horizonhe maghitude and direction of the resultant according to the chosen scale. = 246 N, 255° Test yourself 3: 1. Two forces of 60 N and 8O N respectively act simultaneously at a point. F = 60 N Sketch and determine their resultant by using the following methods: a) tail-to-head 60° b) tail-to-tail (122 N 25 2. Two forces, F, and F, act at a point as indicated. a) Draw a sketch diagram to show the resultant force when angle 6 = 120. The angle is now decreased from 120° to 20°. F = 80 N F (The magnitudes of the forces remain the same.) b) Draw a new sketch diagram to show the new resultant. Compare the sizes of the resultants and write your conclusion. Forces in equilibrium A stationary object might have no forces acting on it. Forces on the object can also be balanced so there is a zero resultant In%23 "Q1: Determine the Moment of the Force 800N shown in Fig. about point O 音 By at least 3 ways. 875 mm B 625 mm 1 F- 800 N *** **********
- The following diagram corresponds to questions 1 to 3. A beam rests on two sharp edges as shown on the image. The beam has a length of 7,50 m and a mass of 4,25 kg. Object 1 has a mass of 1,50 kg; object 2 has a mass of 2,35 kg. Point P is 0,50 m form the center of the beam. CG 1. How much is the torque done by object 1 around point P? A. 55,2 N*m B. 7,36 N*m C. 62,5 N*m D. Object 1 doesn't exert a torque. 2. How much is the torque done by the force of gravity of the beam around point P? A. 20,8 N*m N-m ך177 .B C. 156 N*m D. 313 N*m 3. If you needed to cancel the nomal forces of the two objects, where you should place object 2? The axis of rotation is point P. A. 3,30 m from point B. 9,18 m from point P C. 5,69 m from point P D. 3,62 m from point PP 400 Ib 14' А B 60° 450 Determine the Value of PA = 15mdueWest To get from one office to another in a company, a man travels as follows:B=25m, 53° Eastof North C=20mdue East Which of the following is the magnitude and direction of the resultant vector? (A) 27.6 m, 59 degrees N of E B) 29.2 m, 31 degrees E of N 29.2 m, 31 degrees N of E (D) 27.6 m, 59 degrees E of N E) No Answer