we have a pendlulum hanging from the ceilin a use Enur-Lagrange to fincl an expression for...
Consider the Schwarzschild metric denoted by where rs is the Schwarzschild radius, and we have chosen units c= 1, with the Coordinates .r"-(t.r. θ, φ (a) (5pts) Consider a timelike geodesic a:H(τ), where τ is the proper time lying on the plane θ n/2 with θ Ξ d9/dT 0. Use the Lagrangian L 1μντμχ to derive the cquations governing the geodesic first showing that where E, L arc constants (b) (5pts) Using the results in (a) and cq.(3), show that...
For which of the following utility functions can we use the Lagrange method to solve the utility maximisation problem? Explain W(x1,x2)=X1X2(1/2) OR Z(x1x2) =X1(1/2)+X2(1/2)
2. Use Taylor series expansions to arrive at the expression 1 3 1 f'(x) h f(x)2f(xh) - f(x2h) 2 which we found in class using Lagrange polynomials 2. Use Taylor series expansions to arrive at the expression 1 3 1 f'(x) h f(x)2f(xh) - f(x2h) 2 which we found in class using Lagrange polynomials
Two charged balloons are hanging from the ceiling in your bedroom (assume the balloons to be point particles with the same charge Q). Assume Q to be the electric charge of each balloon, m to be the mass of each individual balloon, θ the angle from the vertical, and d the distance separation between balloons b write an expression for the net electric charge on each balloon. Express your answers in terms of m, θ, d, and , fundamental constants....
A pendulum consists of a small object hanging from the ceiling at the end of a string of negligible mass. The string has a length of 0.71 m. With the string hanging vertically, the object is given an initial velocity of 1.6 m/s parallel to the ground and swings upward in a circular arc. Eventually, the object comes to a momentary halt at a point where the string makes an angle θ with its initial vertical orientation and then swings...
Use Lagrange multipliers to find the minimum and maximum distances from the origin to a point Pon the curve x2-xy+y2-1.
Tarzan grabs a vine hanging vertically from a tall tree when he is running at 9.0m/s. Explain why it would be a mistake to use: W = Fdcos(θ) to solve for the work done.
physics A pendulum consists of a small object hanging from the ceiling at the end of a string of negligible mass. The string has a length of 0.79 m. With the string hanging vertically, the object is given an initial velocity of 2.1 m/s parallel to the ground and swings upward in a circular arc. Eventually, the object comes to a momentary halt at a point where the string makes an angle θ with its initial vertical orientation and then...
We were unable to transcribe this imagefrom this box through an SGθ device with θ such that cosļ θ-3 and sin| θ = 4, we find that 1%5 are determined to have Se. Assuming that the components of b) are real, argue that there are two distinct q-vectors for l ψ consistent with this result (that is, that differ by more than an overall sign). If we send electrons from this box through an SGx device and find that 77%...
A conical pendulum consists of a mass hanging from a string while moving in a horizontal circle of radius r (see Figure 1; the blue arrow indicating velocity is pointing “into” the page, not up.). If the mass moves at constant speed 1.3 m/s and the angle the string does with the vertical is θ = 12◦ , what is the radius r of the circle? (Hint: This is similar to the “hanging chairs” problem from class.)