Toprol XL

By M. Rozhov. Judson College, Marion AL.

Another simple result directly derived from the equations of static equi- librium concerns objects under the application of three forces (Fig toprol xl 50mg with visa heart attack quiz. If the lines of action of two of these forces intersect each other at some point in space cheap 25mg toprol xl with mastercard pulse pressure 2012, then the line of action of the third force must also pass through that point. The only way the resulting moment on the object will be equal to zero is if the line of action of the third force also passes through this point. Investigation of static equilibrium requires computations of moments created by external forces. As we have already demonstrated, the mo- ment of a force with respect to point A is defined as MA 5 rP/A 3 F (5. We could determine moment MA by going through the formal procedures of vector multiplication. However, some- times it is easier to adopt an approach that employs only scalar algebra. The direction of the strings specifies the directions of the forces acting at the ends of the rod. Note that when the tensions in the strings are comparable to the weight of the A rod, then the rod and the string C forces are not aligned. However, as the string connecting the rod to the B hook D is pulled with increasing D force, the rod acts as if it is under C the influence of just two forces. The weight of the rod can then be ne- glected in the condition of force bal- ance. The sense of direction of the moment is such that counterclockwise rotation is considered positive whereas clockwise rotation is considered negative (Fig. The magnitude of the moment is equal to the products of mag- F A nitude of the force, the length θ between A to the point of ap- P/A plication of the force, and the r P sine of the angle u the force makes with the position vector O e1 connecting A to the point of ap- plication of the force. Even when they are in motion, sometimes the inertial terms (mass times acceleration) are small compared to the magnitude of some of the forces acting on them. In such situations, the equilibrium analysis serves as a valid first approximation of the con- tact forces involved in the movement. Consider an athlete who is pushing against a wall to stretch his Achilles tendons during a warm-up before an athletic event (Fig. The distance DB between the top of his head and his D B H W C -80kg e2 e1 O FIGURE 5. An athlete leaning θ on a wall to stretch the Achilles tendon before an athletic A event. The distance AC between the bottom of his foot and his center of gravity is 101 cm, and the distance AG between the heel and the toes is 25 cm. Assume further that the friction between the hands of the athlete and the wall is negligible. Determine the forces exerted on the ath- lete by the wall and the ground as a function of the angle of inclination u. Solution: This is a two-dimensional problem in which all the forces act- ing on the individual lie in a plane. Notice that because the person is stretching the Achilles tendon, the heels barely touch the ground, if they touch at all. Thus the point of applica- tion of the ground force is positioned somewhere on the toes. To determine the horizontal contact forces acting on the athlete, we need to set the resultant external moment equal to zero. For simplicity in the computations, we choose to evaluate the moments about point A. The condition of balance of exter- nal moments about A then leads to the following expression: 2m g? Note that all moments acting on the ath- lete are in either positive or negative e3 direction. Using a hand calculator, one can show that HG 5 HW 5 641 N, 336 N, and 151 N, respectively, when u 5 30°, 45°, and 60°.

Person: (1) The hair was drawn first purchase toprol xl 50mg otc heart attack 50 years, erased 50 mg toprol xl overnight delivery arteria zarzad, and then emphasized (vir- ility striving, freedom); (2) the shoulders are large and excessively squared (defended, preoccupied with need for strength); (3) the neck is nonexist- ent (body drives threaten to overwhelm); (4) the person is clothed in a trench coat (security and protection, defensiveness). Qualitative Analysis: Proportion House: The door is drawn excessively large (dependent). Tree: (1) The tree is small compared to the form page (feelings of in- feriority, insignificance); (2) the branches of the tree dwarf the size of the trunk (inadequacy coupled with striving for security and satisfaction within the environment). Person: The person is small compared to the form page (feelings of in- feriority, insignificance). Qualitative Analysis: Perspective Tree: (1) The tree is placed high on the page and toward the left corner (seeks satisfaction in fantasy, aloof, insecurity with environmental fac- tors); (2) it leans definitely toward the left (seeks immediate and emotional satisfaction, overconcern with self and past). Qualitative Analysis: Time House: (1) After completing the garage door and prior to beginning the upper story windows, the patient ceased drawing for many moments and spontaneously stated, "It’s hard to tell people about what bothers me.... I think there’s a time and destiny for everyone" (found solace and accept- ance in religion through the escape/withdrawal of his bedroom). Qualitative Analysis: Comments, Drawing Phase Tree: (1) After erasing and adding a second berry to the bottom right row of branches, he made a superfluous comment: "It’s a little bit detailed" (insecurity); (2) he then immediately made a series of unrelated comments ("I stay up late at night chewing tobacco or reading a book"), and at this point his speech became so rapid that I could ascertain only his general topics. These comments focused on his medication, his drug use (present and past), and confrontations by peers in his dorm. After this comment, he then added the rounded top to the trunk of the tree (regression as the tree took on a more phallic form). Person: (1) After completing the person’s hair he stated, "This was old- style long hair. I never grew my hair long" (virility strivings); (2) after com- pleting the trench coat he stated, "I was thinking, I know it looks like a warlock or something" (constant struggle between good and evil, God and devil, superego and id). Qualitative Analysis: Comments, Postdrawing Inquiry House: (1) The house is above the client, and while he was drawing it it reminded him of his mother’s house (personal relationships regarding home and family; feels insecure, insignificant); (2) he stated that it was a friendly house but then added, "I wish I had better memories of being there, but when I was there, I was mentally ill" (contradicts statement of happy 132 Interpreting the Art memories with unpleasant experiences); (3) he added that what the house needed most was "to be taken care of.... Tree: (1) The patient stated that the tree was feminine because "with her caring heart she shows her fruit," which was determined by "lots of nice apples" (sexual and maternal symbols combined); (2) the tree reminded him of "how a person should grow up and produce good fruit" (concern and obsession with his mental illness as a "defect," with resulting religious metaphor relating to fruit of her womb; sexual, maternal, and religious symbols combined). Person: (1) The male’s name is "Werewolf," and the patient is attempt- ing to convert him to Christianity by "talking about the Lord," but Were- wolf is thinking about "how good a feeling hard rock music gives him" (re- ligious delusional thoughts surrounding struggle to remain pious; good and evil thoughts comingling); (2) the person is "sick in the mind" because "he won’t stop using drugs and he’s into witchcraft" (projection of patient’s in- ternal struggle); (3) unlike in the drawings of the house and tree, the weather in this rendering is "cold and rainy. A light drizzle" (depression, external pressures); (4) in response to the question "what does this person need the most? Qualitative Analysis: Concepts House: His house should be built on a ranch, which is a frequent topic of this patient (i. Tree: The tree is a healthy apple tree because "you don’t see hardly any dead spots" (infantile dependency and oral needs ill disguised). Person: The person is a werewolf (sexually predatory symbol) who prefers drugs and witchcraft to religion and conventionality (powers that threaten to emerge from within the patient). Quantitative Analysis: Summary According to Buck’s scoring system the patient’s raw G IQ is 73 and his net weighted score IQ is 77, which places the patient in the Borderline In- tellectual Functioning range. His good IQ score correlates to an IQ of 83 and represents his ability to interact in his environment. An overview of his de- tail, proportion, and perspective scores basically yields difficulty surround- ing critical and analytical judgment regarding the more basic problems 133 Reading Between the Lines that are presented by the environment. The patient’s lowest overall scores appear in the drawing of the tree, where individuals generally attain their highest score. This expresses significant conflict in the patient’s basic feel- ing of ego strength. Evaluation of his HTP reveals the presence of the following character- istics: (1) feelings of insecurity and inferiority regarding masculinity, re- sulting in an attendant withdrawal into masculine symbols of power; (2) infantile and orally dependent traits that cause sexual symbols and mater- nal symbols to be united, creating possible Oedipal conflicts; (3) a ten- dency to retreat into a delusional or religious belief system to meet his dy- namic needs when body drives threaten to overwhelm. In the end, this patient is essentially immature, with infantile depend- ency needs and predominant feelings of shame and humiliation that im- pede his general functioning within the environment. Yet, in the fantasy of finding himself through his delusional belief system, he instead loses him- self. The same patient also took a shortened version of the HTP art projec- tive test (panel B of Figure 3. He began this drawing with meticulous lines that are minimally wavy in appearance but otherwise well drawn. The house is completed in one color (constricted use), the tree in two (brown and green), and the person is outlined in a pale yellow with brown belt, hair, and feet (constricted use). All items are placed one third of the way up the page, with the person to the furthest left (seeks immediate emo- tional satisfaction; concern with self and past), then the tree, and then the house.