(1) The turnbuckle is tightened to create a tension in cable AB of magnitude T = 2.4 kN acting on arm AD at A. Express the tension force as a vector, and then determine the projection of the tension force onto line AC. Ans: T=0.8761 +0.438}-2.19 kN, TAC = 2.06 kN A 3 m 2 m B 5 m 1 m
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- 3m A. Find the unit vector that makes an angle (0 = - with the positive x-axis.4. Your upper arm exerts 60N and lower arm exerts 40N anteriorly and superiorly. When your upper and lower arms are bent at 90°, describe the magnitude and direction of the resultant force exerted on your arm. nff a long jumper has a forward (horizontal) velocity of 15m/sec and a vertical ntall and the magnitude of theA vector F represents a force that has a magnitude of 8 lb and π/3 is the radian measure of its direction angle. Find the work done by the force in moving an object (a) along the x -axis from the origin to the point (6, 0) and (b) along the y-axis from the origin to the point (0, 6). Distance is measured in feet.
- A basket of flowers of mass 3 kg is placed on a flat grassy slope that makes an angle θ with the horizontal. The coefficient of static friction between the basket and the slope is 0.45 and the basket is on the point of slipping down the slope. Model the basket of flowers as a particle and the grassy slope as a plane. Take the magnitude of the acceleration due to gravity, g, to be 9.8 m s−2 Express the forces in component form, in terms of θ and unknown magnitudes where appropriate. Write down the equilibrium condition for the basket and hence show that tan θ = 0.45. Determine the angle, in degrees, that the slope makes with the horizontal.The minute hand of a wall clock measures 24 cm from its tip to the axis about which it rotates. The magnitude and angle of the displacement vector of the tip are to be determined for three time intervals. What are the magnitude and angle from a quarter after the hour to half past, the magnitude and angle for the next half hour, and the magnitude and angle for the hour after that? (Use a coordinate system with the origin at the clock center, +x rightward toward the "3:00" position, and +y upward toward the "12:00" position.) (a) the magnitude from a quarter after the hour to half past cm(b) the angle from a quarter after the hour to half past ° (counterclockwise from the +x-axis)(c) the magnitude for the next half hour cm(d) the angle for the half hour in part (c) ° (counterclockwise from the +x-axis)(e) the magnitude for the hour after that cm(f) What is the angle for the hour in part (e) ° (counterclockwise from the +x-axis)How much force must be applied to a 1.8kg ice hockey puck to give it an acceleration of 10 m s-2
- suspended a mass of 10 kg from a ceiling by two cords that make angles of 30° and 45° to the ceiling. help to solve the following problem: asked for Assuming that a 1 kg mass exerts a force of 9.8 N, find the tension in the cords. Using this information and using vector methods only, show all your work.Please don't provide handwritten solution...(4) Express the force shown of magnitude F = 10 kN as a vector. Also determine the angles which the force forms with +x-, +y-, and +z-axes. Ans: F=8.161-4.08}+4.08 kN, 0x = 35.3°, 0y=114.1°, 0₂ = 65.9° 0.2 m F B x C D 0.2 m A 0.4 m 0.2 m