MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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- Two rescue vessels are pulling a broken-down motorboat toward a boathouse with forces of 840 lbs. and 960 lbs. The angle between these two forces is 24.5°. Determine the angle between the resultant vector and the 840-lb force (x). Find the magnitude and direction ( e) of the equilibrant. r = r =₁ x=1 8=₁ -r :: cos(24.5°) (840)² + (960)² - 2(840)(960) :: 400 lbs :: 1790 lbs e :: 77 :: 169 O 840 lbs 960 lbs. :: cos(167.75°) :: 1759 lbs :: 11° :: 139 :: 103° :: 167 :: cos(155.5°) Oarrow_forward(8) Determine the moment of the force T = 95 N about point O. Ans: Mo=733 N·m CCW T 40° -12 m-arrow_forward(7) The force F is applied on the ball of the trailer hitch as shown. Determine the moment of the force about point O. Ans: Mo 102.8 lb-ft CCW 1.25" 130° F= 120 lb 11" 1.5"arrow_forward
- (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 -2arrow_forward#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.arrow_forward1. Find the angle that the vector V = makes with the positive x axis. Aarrow_forward
- 4arrow_forward(5) A force F = 50 N is exerted on the automobile parking-brake lever at the position x = 250 mm. Replace the force by an equivalent force-couple system at the pivot point O. Ans: F-17.10 +47.0ĵN, Mo 17.29 N·m CCW OA = OB F 20° 15° 100 mm 10°arrow_forward(2) For the two oblique axes shown, determine the component of F along the b-axis F, if the projection of force F onto the a-axis is Pa = 250 N. Ans: Fb = 612 N 60° 45°arrow_forward
- Find the velocity, acceleration, and speed of an object with position vector r(t) (VE, 4 + VF, 21). %3Darrow_forwardFind the angle between two vectors a = (3, 4,0) and b = (4,4, 2). %3D O a. COS 15 O b. -1 . coS 15 O C. COS 28 O d. cos( 29arrow_forwardAn object is acted on by two forces, X and Y. Force X acts vertically upwards with magnitude 16 N. Force Y acts horizontally from right to left with magnitude 31 N. Calculate the magnitude of the resultant force to the nearest newton and describe its direction in terms of the angle it makes with the horizontal, to the nearest degree. Magnitude of resultant force: N Direction of resultant force: from horizontalarrow_forward
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