Find Reactions at points A and B for the truss below. A= B= P=4.3k P 3.2 k P4.5k P=3.4k P=4k P=3k B=4k P=2.25k R=1.7k P=3k P=2k P=1.5k 12-0° 12-0" 10'-8" 10-8" 10'-8"
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You can add the two forces together to get the total force at each joint.
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- B. C. = X %3D Find x and mZBDC. 6. MZADC = 116°, m2 ADB = x, m² BDC is 3 times bigger than mZ ADB. MZADC = 5. %3D 5. MZADC = 5x - 20, mZADB = x - 4, mZ BDC = x + 5. Find x and mZADC.2T). 6. Suppose z = e20"/4 and w = 2e2"/4, find 2 and express your answer in rectangular form %3D %3DA bowling ball is rolled down the alley with a constant velocity of 1.4 m/sec. at an angle of 86° to the starting line. The position of the person throwing the bowling ball can be represented by the point (0,0). Where is the ball after 8 seconds? O (0.1,1.4) O (0.6,8.0) O (0.8,11.2) O (11.2,0.8) A ball is thrown with a slingshot at a velocity of 95 ft./sec. at an angle 25° above the ground from a height of 6 ft. Approximately how long does it take for the ball to hit the ground? Acceleration due to gravity is 32 ft./s2. O2.65 seconds O2.51 seconds 05.45 seconds 5.38 seconds
- 4. C is the midpoint of WX. If CW = 5, find XC and WX. * %3D XC-5 WX= 10 5. L is the midpoint of MN. If MN = 10x + 2 and ML = 7, find x. * %3D Your answdr This is a required question 6. If mZABC = 21° and ZCBD = 53°, find mZABD. * DELLA frog is sitting on the edge of a playground carousel with radius 1 meter. The ray through the frog's position and the center of the carousel makes an angle of measure e with the horizontal, and his starting coordinates are approximately (0.81, 0.59). Find his new coordinates after the carousel rotates by each of the following amounts. a. 2 z*+ y* = 1 C. d. (0.81,0.59) 2 е. - f. 2 g. T- 20 h. -20 b.y = xtan0 0 Given: height of shag = 7'1"= 7.083 Vo = 35 ft/s = 39.25 2 g = 32 ft/s ² 1 If 7'1"Shaquille O'Neal is at the free throw line (that is 4 feet from the point under the 10-ft rim of the basket,) and he throws the ball with the initial velocity 35 feet per second and the angle of inclination 0 = 39.25°, does he make the free throw successfully? Explain your answer in details. (Hint 7'1"=7.083ft and g = 32ft/s²) O 9x² 2v2cos²0 -4- + Yo 1 4' y = x tan- gx² 2 T 10 = 4 +an 39.25 - 16(4)² +7.083 10 22 10' 10 4 tan 39.25-162 | 13 , туо 2 2 Vo²cos ²0 2 (35) ² cos 39.25² +7.083 (35)² (cos 39.25)² solve in degrees for calculator NOT RADIANS
- Find mZNIJ if MLHIN = 80°, %3D M2NIJ = 2x + 9, and m/HIJ= 15x + 11. %3D H3. A ball is thrown with an initial velocity of 70 ft/sec, at an angle of 35° with the horizontal. Find the vertical and horizontal components of the velocity. 4. To carry a 100-pound cylindrical weight, two people lift on the ends of short ropes that are tied to an eyelet on the top center of the cylinder. Each rope makes a 20° angle with the vertical. Draw a figure that gives a visual representation of the problem, and find the tension in the ropes.9x2 Zvcos²0 y = xtane +%. If 6'3"Stephen Curry is at the free throw line (that is 4 feet from the point under the 10-ft rim of the basket,) and he throws the ball with the initial velocity 25 feet per second and the angle of inclination 8 = 45.62°, does he make the free throw successfully? Explain your answer in details. (Hint 8'"-ft and g = 32ft/s²) 6'3" 4.25 4' 10'
- Calculate the reactions for the overhanging beams shown. A 5'-0" 300 lb 200 lb 5'-0" 3'-0" BFind the length of the astroid x23+y23=a23.6. A Ferris wheel is 200 ft in diameter with its lowest point 3 ft off the ground. Once all the passengers have been loaded, the wheel makes one full rotation counterclockwise in 3 min. Suppose that a couple is seated at the lowest point on the wheel and are the last passengers to be loaded. a. Write a model representing the couple's horizontal position x (in feet) relative to the center of the Ferris wheel, t minutes after the ride starts. b. Write a model representing the couple's height y (in feet) above ground level, t minutes after the ride starts. c. Give the coordinates of the couple's position 2 min into the ride and tell if they are going up or down. Round to the nearest tenth of a foot.