(3) Compute the couple by the two parallel forces shown for F = 65 lb. Ans: M=2300 lb-ft CCW 20% F y, ft A (-10, 14) C (-12, -12) D (20, 0) x, ft B (20,-7) F 20°
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- Find the intensity of light at a depth of 12 meter if I0=14 and k=0.7. Round to two decimals.(5) A force T is applied at the tip of the rod as shown. If the n- component of the force is T, = 35 lb, determine the t-, x-, and y-components of the force T. The t-axis is directed along the rod, and the n-axis is perpendicular to the rod. Ans: T₁ =-130.6 lb, Tx=-103.6 lb, Ty = -86.9 lb T n 40° O 55°= = The boat has a speed b/w 23 ft/sec in still water. It is supposed to cross a 360-ft wide river from point A to point B, which is located at a distance of AB 520 ft from A, on a straight line. If the 9 ft/sec, determine the speed vɩ of the boat, the direction angle which the boat should take to stay on line AB, and the time needed to make the crossing. (v = 15.6 ft/sec, 0 = 15.7°, t = 33.2 sec) river flows with a velocity vw = A d Vw B Vb/w 0
- (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°3. (a) Determine the horizontal and vertical components of the 940 lb force. (b) The components of the force perpendicular to and along the plane. 940 lbs 68% 22°Assume that y varies jointly with x and the square root of z. f y=30 when x=3 and z=25, then find the value of y when x=4 and z=9. y=?
- #4Consider the following scenario. A pilot is steering a plane in the direction N 45° W at an air-speed (speed still in air) of 190 mi/h. A wind is blowing in the direction S 30° E at a speed of 34 mi/h. Set up the coordinate axes so that north is the positive y-direction and west is the negative x-direction. With respect to the still air, write a vector that represents the velocity of the plane and represents the velocity of the wind. Vplane = Vwind= Give a velocity vector of the plane relative to ground. (Round your values to three decimal places.) V = Vplane + wind= Find vl. (Round your answer to one decimal place.) |v| = Find the true course and the ground speed (in mi/h) of the plane. (Round your answers to one decimal place.) true course N W ground speed Need Help? Read It mi/h vector that(4) A force F is applied through the bar on the slider at A as shown. If the t-component of the force is Ft = 90 N, determine the n-, x-, and y-components of the force F. Ans: Fn=-107.3 N, Fx = 131.6 N, Fy = -47.9 N F 20° n 30°
- A drone flies with velocity v(t) = 3ti- t²j+4k. When t = 1, the drone is at (3,2,2).(6) A force of 200 N is applied perpendicular to the wrench at its tip as shown. Determine the equivalent force-couple system at center O of the wheel. Ans: F=68.4-187.9 N, Mo = 78.3 N'm CW 650 mm 125 mm 450 mm 20° 200 N(6) A force F is applied on bar BC at B through rod AB as shown. If the t-component of the force is F₁ = 50 lb, determine the n-, x-, and y-components of the force F. The t- axis is directed along bar BC, and the n-axis is perpendicular to the bar BC. Ans: Fn = 284 lb, Fx = -271 lb, Fy = -98.5 lb -30°4 F A 20°