(4) Use method of sections to determine the forces in members BC and EF of the loaded truss. Apply only one single equation of equilibrium for each desired member force. Ans: BC= 60 kN T, EF = 131.8 kN C B A 4 m G 60 kN 4 m с 4m D 4 m F 60° E
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- A gear train consists of three gears meshed together (Figure 9). The middle gear is known as an idler. Show that the angular velocity of the third gear does not depend on the number of teeth of the idler gear (Gear 2).A rectangular solid has length L=12.6 mm, width W=23.8 mm, and height H=32.5 mm. Find the length of a diagonal AB from the upper left rear vertex to the lower right front vertex. Round the answer to 1 decimal place.(5) Determine the force in members AD and BD of the loaded truss. Ans: AD=4170 T, BD = 3590 N C 5m D 6m A 45° B 6m 5m 5000 N
- Find mZNIJ if MLHIN = 80°, %3D M2NIJ = 2x + 9, and m/HIJ= 15x + 11. %3D H(3) The gusset plate is subjected to two forces F₁ = 0.8 KN and F2 = 0.9 kN at point A as shown. If they are replaced with Fa and Fb and the resultant forces from the two pairs are identical, determine the magnitudes of Fa and Fb. Ans: Fa=1.199 kN, Fb = 0.433 kN F₂ 30°-40° xA wrench 25 cm long lies along the positive y-axis and grips a bolt at the origin. A force is applied in the direction (a.3.-4) at the end of the wrench. Find the magnitude of the force needed to supply 100 N · m of torque to the bolt. (Round your answer to the nearest whole number.)
- (4) A vertical 480 N force is applied as shown on the three-bar frame that is supported at pin A and roller B. Determine the magnitudes of the connection forces at pin C and pin E. Ans: C 824 N, E = 561 N 160 mm B 480 N 60 mm D 80 mm E -150 mm- 60 mm 100 mmA hiker start from his parked car and walked as follows : 12km due east followed by 8km at 40 north of east , followed by 10km due . Find the components ( along east and north of the net displacement and the magnitude and direction of the displacement(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°
- (1) Replace the three forces acting on the bar by the resultant force and resultant moment at point A. Then determine the x- and y-intercepts of the line of action of the single equivalent resultant force. Ans: R=400-3010ŷ lb, M₁ = 18190 lb-ft CW, Xint 6.05 ft, yint=45.5 ft 2500 lb 1200 lb •A B⚫ 30° 2. 800 lb 2. 3' EA shot putter threw an 8 lb 13 oz shot 71 ft, 8 in. Assuming the shot putter launched the shot at a 60° angle to the horizontal from 5.5 ft above the ground, what was the shot's initial speed? The acceleration due to gravity is 32 ft/sec². The shot's initial speed was vo = ft/sec.A projectile is given an initial velocity of 31.5 m/s at an angle of 51.5 degrees with respect to the horizontal. How far has it moved in the x-direction at the time when its speed in the y-direction is 10.5 m/s? A projectile is launched with an initial velocity of 27.2 m/s at 64.7 degrees with respect to the horizontal. What is the speed of the projectile 1.83 s after being launched. Assume the speed is measured in m/s. A projectile is launched with an initial velocity of 46.8 m/s at an angle of 31.2 degrees with respect to the horizontal. In meters, what is the maximum upward displacement of the projectile?