1. Create a free-body diagram for the above condition and apply the sign convention for forces and moments. 2. Calculate the magnitude of the compression force (F compression) and the shear force (F shear) generated. 3. Analyze whether this job is safe to perform."

The fluctuating stresses listed in the table are found at a critical location of a component made of steel with Se = 40 ksi, Sy = 80 ksi, Sut = 110 ksi and f= 0.87. These stresses are applied on the part within 10 s. What is the accumulative damage of this part? What is the life of the part in hours if this stress pattern continues to repeat for the remained of the part's life? Use Goodman criterion and Miner's rule in your solution. Loading order |Omin o max |Number of cycles -20 30 -10 50 1 3. -30 30 1

A 4.2‑kg brown hare walks on a horizontal beam (the beam's mass m = 2.8 kg and length a = 2.4 m). The beam is suspended with two ropes attached to the ends of the beam. What should be the distance between the hare and the left end of the beam so that the tension in the left rope is three times as big as the tension in the right rope?   1. The distance from the left end, b = If the hare is at the distance found in the previous question, calculate the tension in each rope. 2. The tension in the left rope, T1 = 3. The tension in the right rope, T2 =   ------------------------------------------------------------------   A bike wheel has a radius of R = 0.62 m and a mass of m = 2.6 kg spins at 270 rpm. What is the angular momentum of the wheel? Assume that the wheel has a shape of a ring. The angular momentum of the wheel, L ?   A typical bowling ball might have a mass of 7 kg and a radius of 12 cm. How fast the ball should spin to have the same angular momentum as the wheel from the…

Question 2 You are playing basketball with some friends at the park when Nate Robinson, the 180 Ib(f) former New York Knicks point 0.12 m E guard and only three-time winner of the NBA Slam Dunk Contest, stops by. You are F 0.15 m 0.48 m H A curious about the forces the members of 0.48 m the hoop apparatus experience during a dunk. If Nate dunks and hangs on the rim of the hoop, find the forces supported by each 0.12 m I (B WN -0.6 m –→-– 0.75 m- member of the apparatus and the support reactions at D. Member IJ is a hand crank which can be used to adjust the height of 1.2 m the rim, and it acts as a two-force member. 3 m Post ABCD weighs 400 N and has a center of mass at point C. The assembly EFGH weighs 220 N and has a center of mass at point G. Only magnitudes are givern below, but you must still speci fy dicection based on your free bedy diagrams: Dx : 224 N Dya 1588N Mo = 1867 Nm Bx = 1031 N| By a 6lo6l N| Fx# 1031N| Fy e1992N 1.5 m 1.2 m D

Q3. As shown on the right in image below, the force Facting on the box varies with displacement s, and the coefficient in the image, C = 14. Determine the work done by force Fto the box when the box has displaced s = 1.9 m. Please pay attention: the numbers may change since they are randomized. Negative sign must be included if the work done is negative. Your answer must include 2 places after the decimal point, and proper SI unit. F (N) F 5 3 S 4 C s (m) 1 2

clockwise. (This is the info missing from the Question 2.PNG) Look at the images for details about the question.

Needs Complete typed solution with 100 % accuracy.

2. Find the Force reading on the spring scale. Show all your work and box the answers. Step 1 is to draw a Free Body Diagram and Step 2 is to sum the Forces in the X& Y. Use the diagram included. N is the Normal Force, Tis the Tension and Wis the Weight. Spring Scale प्री- .T 100 Ib 20° W N

Need help. Please round answers to 3 sig figs

Figure The figure shows a schematic of an engine. F, is the force exerted by the combustion gases on the piston (shown by the rectangle at B). FÅ= 50 kN. The angle of the crank OA is 0 = 30° while the angle of the connecting rod AB is p = 15°. Neglect the weight of all members. Also neglect friction between the piston and the cylinder. A 30 cm 10 cm B Fg 0 M₂