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- Let A⃗ =(9,78∘) and B⃗ =(2,289∘), where the angles are measured counterclockwise from the positive x-axis. What is C⃗ =4A⃗ +B⃗ ? Give your answer in component form. x component: y component:E is a solid occupying the sphere of radius 2 centered at the the origin (0, 0, 0) in R3. The density at each point is proportional to the point’s distance to the plane z = −2. Find the center of mass. Hint. Use symmetry where appropriateWhen doing a 3D problem analysis of a rigid body, you have _____ scalar equations of equilibrium. Group of answer choices 2 3 4 6
- A bead is threaded on a rigid circular hoop of radius R lying in the xy-plane with its center at O. What are the degree/s of freedom.Gold, which has a density of 19.32 g/cm3, is the most ductile metal and can be pressed into a thin leaf or drawn out into a long fiber. (b) If, instead, the gold is drawn out into a cylindrical fiber of radius 2.100 μm, what is the length of the fiber?If the modulus of the sum of two vectors is less than the modules of the two vectors, we can conclude that a) The vectors point in the same direction, in opposite directions. b) The vectors point in the same direction and in the same direction. c) The scalar product of the two vectors is positive. d) The scalar producer of the two vectors is negative. e) None of the above.
- A Pyramid with nonuniform density p = (p0/(y3(y+1))) (p0 is the average density) with mass M, square base a2, and height h, find the y center of mass of the Pyramid in term of h. (??????? ?????? = 1/3 * base^2 * height) This question is all that is given. please give the answer in a ratio to the height. ie 3/4hA hanging wire made of an alloy of titanium with diameter 0.05 cm is initially 2.1 m long. When a 13 kg mass is hung from it, the wire stretches an amount 1.14 cm. A mole of titanium has a mass of 48 grams, and its density is 4.54 g/cm3.What is Young's modulus for this alloy of titanium?Given the length of the interatomic bond of 2.60 10-10 m for titanium what is the ks,i (the stiffness of one interatomic bond)?An axial pull of 1.5 kN is acting on a bar of consisting two equal lengths as shown but of diameter 10cm and 20 cm respectively. What will be the stresses in the two sections respectively in N/mm2? A. 0.153 and 0.0036 B. 0.290 and 0.046 C. 0.190 and 0.0046 D. 0.124 and 0.124
- Your task is to design a light‐weight tie of length L with a circular cross‐section of radius R. It must carry an axial force F, without stretching by more than δ. You will need to choose the material (with Young’s modulus E and density ρ) and the corresponding crosssection radius to suit your choice of material, i.e. R is a “free variable”,a) Show that the extension of the tie is given by δ = FL/AE, where A = πR2[ e having same cross sectional area. Due to block the elongation in wire AB s Alyg and in wire CD is Algp then value of sider the diagram where block has weight of 200N. B and CD are two wires of different materials sten Given: Young’s modulus for both wires is ¥p o — (@) 2:3V2 () 1:2V3 (©) 3:3v2 (@ 1:3V3A steel rectangular block, a = 2.4cm wide and b =1.2 cm deep, is subjected to an axial tensile load as shown in the figure. Measurements show the block to increase in length by x = 7.11×10−5m (initial length=10cm) and to decrease width by δ z = 0.533×10−5m, when P is 45 kN. Calculate the modulus of elasticity and Poisson's ratio for the material.