5) Using the analytical method of joints, determine the stress in the members of the truss shown. ( 30 points)

The analytical method of joints is used to calculate the axial forces in the truss members. For this method, the forces in a joint are considered in order to determine the force in each member connected to the joint.

The following figure represents the truss, and we will use the analytical method of joints to determine the stress in the members. We start by analyzing the joint A as shown in the following diagram. (Please refer to the attached image to view the truss diagram.)

Since there is no external force acting on this joint, the total force acting on it is zero. The reaction force is assumed to act along the positive y-axis. We will take the forces acting in tension as positive. Thus, using the method of joints, we can write the following equation:F_4(cos 60°) + F_3 = 0F_4 = -(F_3/cos 60°)F_4 = -2 F_3We now move on to joint C. Since we already know F4, we can calculate the force in member BC. As usual, we will take the forces acting in tension as positive.

Thus, using the method of joints, we can write the following equation:F_2(cos 45°) + F_4(cos 30°) = 0F_2 = -(F_4cos 30°)/cos 45°F_2 = -1.732 F_3We now move on to joint D. Since we already know F2, we can calculate the force in member DE. As usual, we will take the forces acting in tension as positive.

Thus, using the method of joints, we can write the following equation:F_1(cos 60°) + F_2(sin 45°) = 0F_1 = -(F_2sin 45°)/cos 60°F_1 = -0.5 F_2 = 0.866 F_3Finally, we move on to joint B. Since we already know F2, we can calculate the force in member AB. As usual, we will take the forces acting in tension as positive.

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This is an excerpt from- Sexual selection and special design authored by Steven W Gangestad, in the Annals New York academy of Science. Answer the questions based on the excerpt provided below. "…..Women claim men’s scent importantly affects their attraction to them. Moreover, evidence suggests that women’s olfaction changes across menstrual cycle. For instance, women tend to rate androstenone, a steroid found in men’s sweat, more positively near ovulation than during non-fertile phases.
In an initial study, we asked 41 men to wear T-shirt for two consecutive nights. During the two-day period, they were to wash only with unscented soap, not to wear any fragrances or colognes, not eat certain strong foods, and not to sleep with another person. They dropped shirts off at our lab on a designated morning. Later that same morning and throughout the next day, women came in, smelled each T-shirt and rated its attractiveness (a composite of two ratings: pleasantness and sexiness). For each woman, we regressed her rating on men’s symmetry to yield "a preference for symmetry" score (the regression slope, a measure of the change in rating as a function of a change in symmetry). We then examined the correlation of these preference scores with women’s estimated fertility based on their self-reported day of the cycle and actuarial data on probability of conception for each day. Across 28 normally ovulating women the correlation was 0.54, p<0.001. Examination of the bivariate plot revealed that when women’s fertility was near zero (very early and late in the cycle), they had no systematic preference for the scent of either symmetrical or asymmetrical men. As their fertility increased, however, they increasingly preferred the scent of symmetrical men.
A subsequent study replicated and extended that result in a larger sample of about 50 normally ovulating women and 80 men. Women’s preference for symmetry correlated 0.42 with their fertility based on the day of their cycle, p<0.001. We asked men how many times they showered and whether they wore any fragrances. The number of times men showered predicted the attractiveness of their scent. When this variable was partialled out and all men who wore fragrances were eliminated from the analysis, the correlation between women’s symmetry and their fertility actually increased, r=0.48, p<0.001. In a third study in our lab, this result was once again replicated, r=0.26, p<0.05. When data from all three studies were pooled, the correlation between women’s preference for symmetry and the fertile phase of their cycle was r=0.40, p<0.0001." [Note: p values reported here means that correlation r is statistically significant]
From this scenario, the immune systems of humans should be exceptionally high. Yet, there is a rising incidence of autoimmune diseases and lack thereof immunity. What form of selection do you think is at play here? Explain.

write an introductory paragraph essay for similarities and
differences (compare and contrast) between municipal and biomedical
waste management in India.

Read the following passage:
I knew how to act and the right things to say, but I felt like a phony. I really cared about Lilly and I wanted her parents to like me, but this world was so different from mine. I wasn't comfortable in these clothes or around their friends. I felt like they could see right through me - like they knew where I came from and who my parents were. I decided to reveal my insecurities to Lilly, and she quickly put my mind at ease. She explained how much her family admired me and wanted to me to be a part of them.
Which statement describes the aesthetic impact the author most likely intends the resolution to have on the reader?
A. The author wants readers to gain a sense of relief and satisfaction.
B. The author wants readers to consider the purpose of family conflicts.
C. The author wants readers to feel disappointment and sadness.
D. The author wants readers to question the reliability of the narrator.