do the diagrams of axial forces, of displacements and of turns flexibility measure: Ε l2=2*l1 A2=2*A1 P 3P 1,/2...
The rigid bar AC is supported by two axial bars (1) and (2). Both axial bars are made of bronze [E = 100 GPa; a = 18 x 10-6 mm/mm/°C). The cross-sectional area of bar (1) is A1 = 226 mm- and the cross-sectional area of bar (2) is Az = 362 mm. After load P has been applied and the temperature of the entire assembly has increased by 22°C, the total strain in bar (2) is measured as 1020...
Coil 1 has L1 = 40 mH and N1 = 101 turns. Coil 2 has L2 = 41 mH and N2 = 234 turns. The coils are fixed in place; their mutual inductance M is 5.6 mH. A 6.1 mA current in coil 1 is changing at the rate of 4.4 A/s. (a) What magnetic flux Φ12 links coil 1, and (b) what self-induced emf appears in that coil? (c) What magnetic flux Φ21 links coil 2, and (d) what...
Coil 1 has L1 = 50 mH and M, = 104 turns. Coil 2 has L2 = 68 mH and M2 = 227 turns. The coils are fixed in place; their mutual inductance M is 3.6 mH. A 8.0 mA current in coil 1 is changing at the rate of 4.8 A/s. (a) What magnetic flux D12 links coil 1, and (b) what self-induced emf appears in that coil? (c) What magnetic flux D21 links coil 2, and (d) what...
1. Prove“inclusion-exclusion,”thatP(A∪B)=P(A)+P(B)−P(A∩B). 2. Prove the “unionbound, ”thatP(A1∪A2)≤P(A1)+P(A2). Under what conditions does the equality hold? 3. Provethat, for A1 andA2 disjoint, P(A1∪A2|B)=P(A1|B)+P(A2|B). 4. A and B are independent events with nonzero probability. Prove whether or not A and Bc are independent.
ANSWER THE FOLLOWING QUESTION AND DRAW THE FIGURE WHERE REQUIRED. PROVIDE EACH & EVERY STEP The stepped rod shown below is made of three uniform elements. The rod was intended to be welded to, and exactly fit between, the rigid walls at A and D. However, member 2 was manufactured an amount d too short. First the entire rod is stretched so that its ends can be welded to the rigid walls. Then, an axial load Pa is applied to...
where lo, l1 are the angular momentum quantum numbers for the lower and upper states respectively of the atomic transition (s,p, d,...or 1-0, 1, 2, . . .). For example, for the 4s-3p transition for sodium (see Fig. 1 below) has n0-3, nı = 4, 10-1, 11-0 Transition levels of Sodium 6s 4.0 d series s series 2. Ep-3 p series Figure T: Transition levels for the neutral sodium atom The 3p-3s transition produces strong yellow emission spectral lines called...
(1) Let a (.. ,a-2, a-1,ao, a1, a2,...) be a sequence of real numbers so that f(n) an. (We may equivalently write a = (abez) Consider the homogeneous linear recurrence p(A)/(n) = (A2-A-1)/(n) = 0. (a) Show ak-2-ak-ak-1 for all k z. (b) When we let ao 0 and a 1 we arrive at our usual Fibonacci numbers, f However, given the result from (a) we many consider f-k where k0. Using the Principle of Strong Mathematical Induction slow j-,-(-1...