A uniform glass rod having a length L is placed in the smooth hemispherical bowl having a radius r. Determine the angle of inclination 0 for equilibrium. coso Ans: 0 = L+VL+128r 2MCOSO No = COS 16r
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- For a summer job you are working as an engineering intern for a metal fabricator. You are assigned the task of determining the center of mass an object to be made from a very thin sheet of airplane aluminum. The rough drawing you are given to work from is as shown below, and the outside radius of the object is to be 1.36 m. Xcm m Ycm = m R R 2An axial load Pis applied to the rectangular bar shown. The cross-sectional area of the bar is 216 mm?. Determine the normal stress perpendicular to plane AB and the shear stress parallel to plane AB if the bar is subjected to an axial load of P = 77 kN. Assume a = 61°. B Answers: The normal stress o = i MPа. The shear stresS T = MPa.A B C 300 μm Which denotes the apical meristem in roots? B C D A D
- The total cross-sectional area of the load-bearing calcified portion of the two forearm bones (radius and ulna) is approximately 2.0 cm2. During a car crash, the forearm is slammed against the dashboard. The arm comes to rest from an initial speed of 80 km/h in 4.5 ms. If the aum has an effective mass of 3.0 kg, what is the compressional stress that the arm withstands during the crash? Pa Need Help? Read ItGive the following problem a try. If you get stuck, here is one way to work it: Essential Solution Video. A stainless steel tube with an outside diameter of 46 mm and a wall thickness of 5 mm is used as a compression member. If the axial stress in the member must be limited to 362 MPa, determine the maximum load P that the member can support. O 194 KN O 142 kN Ea O 233 KN O 219 KN O 295 KNA horizontally oriented 2" x 4" pine stud is securely clamped at one end to an immovable object. A heavy weight hangs from the free end of the wood, causing it to bend. Which surface of the stud is under compression, and which surface is under tension? 80 F3 Both the top and bottom surfaces are under compression. Both the top and bottom surfaces are under tension. The top surface is under compression and the bottom surface is under tension. The top surface is under tension and the bottom surface is under compression. Neither the top nor the bottom surface are under tension or compression. Is there any place within the stud that is neither stretched nor compressed? Explain your reasoning. 000 000 F4 A F5 F6 AA F7 ₁ DII F8 F9 Question Source: Freedman College Physics 3e | Publisher: Macmillan F10 F11 + F12
- 3. A brass rod with a length of 1.40 m and a cross. sectional area of 2.00 square cm is fastened end to end to a nickel rod with length L and cross- sectional area 1.00 square cm. The compound rod is subjected to equal and opposite pulls of magnitude at its ends. 4.00 x104 N (a) Find the length L of the nickel rod if the elongations of the two rods are equal. (b) What is the stress in each rod? (c) What is the strain in each rod?14 of 20 -/5 View Policies Current Attempt in Progress A tunnel of length L = 110 m, height H = 5.4 m, and width 8.6 m (with a flat roof) is to be constructed at distance d = 79 m beneath the ground. (See the figure.) The tunnel roof is to be supported entirely by %3D square steel columns, each with a cross-sectional area of 1190 cm². The mass of 1.0 cm³ of the ground material is 3.7 g. (a) What is the total weight of the ground material the columns must support? (b) How many columns are needed to keep the compressive stress on each column at one-half its ultimate strength? II4. A single axial load of P = 60 kN is attached at the end C of the brass rod ABC. Knowing that E = 105 GPa, determine the diameter d of the portion BC for which the deflection of point C will be 3 mm. 30 mm d 1.2 m B P 10.8 m
- Find the elongation of a rod made of aluminum and copper under a tension of 5.8×103 N. The dimensions of the rod are R=0.5 cm, LAl=10.5 m, LCu=5.5 m (Young moduli are 7.0×1010 Pa for Al and 11×1010 Pa for Cu)2.Determine the normal force N inside each bar Sa function of the external force P 1.5 m 2 m Probs. 1-40/41/42