College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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- Consider the 2 kN force and an unknown force FB representing the forces exerted by the tugboats as shown in the figure and that the vector sum/resultant (R) of these two forces is 3 kN с y |F₁ = 2 kN 30° FB A B directed purely along x. What gives the closest value of the angle of the force FB?arrow_forwardThe vector -5.2 A→ has a magnitude of 37 mm and points in the positive x direction. Find the x component of the vector A→?arrow_forwardF = (-30i + 60j + 60k )kN %3D Forces are concurrent at point O. Determine the magnitude of the resultant of the three vectors. a 71.5 kN b 187 kN F, = (60i – 20j+ 15k )kN c 116 kN d 83.7 kN Determine the angle between F, andF,. F, = (20j – 25k)kN X а 111° b 132° c 69.0° d 21.0° Select the expression that denotes a unit vector in the direction and sense of F,. a 0.625j -0.781k b 0.625i -0.781j c -0.625 j –0.781k d 0.625i +0.781jarrow_forward
- Use the Levi-Civita tensor to prove the following vector identities: [(A x B) x (C x D)] = [(A x B) . D] C - [(A x B) . C] D A x (B x C) = (A . C) B - (A . B) Carrow_forwardPlease circle answersarrow_forwardFig. P3-2 33 A homogeneus cylinder weighing 00 Ib sts against two smooth planes that form a trough as shown in Fip. P3. Determine the forces exerted on the cylinder by the planes at contact points A and 8. Fig. P3arrow_forward
- Considering two force vectors F1 =F1i+F1j+F1k and F2 = F2i+ F»j+F2k with their unit vectors ui = F1 /Fi= (ux)i+ (uiy) j+ (u12) k and u2 = F2 / F2= (u2) i+ (uz)j+ (u2:), which of following are valid calculations for the resultant force FR = F1 + F2? (circle all correct responses) FR = (Fix+ F2x)i+(Fty+F2»)j+ (F1z+ F2)k b. FR = (F: + F2) [(uix+ uzx)i+ (uly+uz)j+ (u1z + u2:2) k] c. FR = (F? + F?)05 [(u1x+ uz)i+ (u¡y + uz) j+ (uiz + uz:) k] d. FR = (F1uix +F2uz)i+(F1u1y+F2u2)j+ (F1u1: +F2u2)k а. %3D %3D с. %3D %3D Consider two vectors A and B with unit vectors u = A/ A and ug = B / B and angle between A and B is 0. Which of the following are correct with regard to dot products? (circle all correct responses) а. A·B is a scalar b. A-B is a vector c. If A and B are parallel, then the magnitude of A·B is the product A*B d. If A and B are perpendicular, then A B = 0 с. е. UA'UB = cos0 Considering springs, cables, and pulleys, which of the following are correct statements? (select all correct…arrow_forwardIn a two-dimensional tug-of-war, Alex, Betty, and Charles pull horizontally on an automobile tire at the angles shown in the picture. The tire remains stationary in spite of the three pulls. Alex pulls with force F A of magnitude 214 N, and Charles pulls with force F c of magnitude 183 N. Note that the direction of F c is not given. What is the magnitude of Betty's force F B if Charles pulls in (a) the direction drawn in the picture or (b) the other possible direction for equilibrium? Alex Charles 145° Betty (a) Number i Units (b) Number i Units >arrow_forwardA horse is harnessed to a sled having a mass of 211 kg, including supplies. The horse must exert a force exceeding 1200 N at an angle of 38.3° (above the horizontal) in order to get the sled moving. Treat the sled as a point particle. (a) Calculate the normal force (in N) on the sled when the magnitude of the applied force is 1200 N. (Enter the magnitude.) N (b) Find the coefficient of static friction between the sled and the ground beneath it. (c) Find the static friction force (in N) when the horse is exerting a force of 6.00 ✕ 102 N on the sled at the same angle. (Enter the magnitude.)arrow_forward
- (a) Forces represented completely by 2AB, 3BČ, 4AČ act along the sides of triangle ABC. Find their resultant and the point where its line of action cuts AB and BC. (b) Show that the resultant of forces AB, CB, 2CD and 2AD acting along the corresponding sides of quadrilateral ABCD, is represented completely by 6QP where P divides BD in the ratio 1: 2 and Q bisects AC.arrow_forwardA hockey puck is struck by two sticks at the same time at 90° angles to each other. One stick struck with 30 N of force in the positive y direction. The other stick struck with 45 N of force in the positive x direction. Find the magnitude and angle of the resultant force on the hockey puck.arrow_forwardThe magnitude and direction exerted by two tugboats towing a ship are 1670 kilograms, N30°W, and 1260 kilograms, S50°W, respectively. Find the magnitude, in kilograms, and the direction angle, in degrees, of the resultant force.arrow_forward
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