Urgent

A path with fixed ends is broken up into small pieces. In each section a quantity 7k is Fixed end event associated with a variable displacement //1 , as shown in the figure. Assume that the quantity 7 is always of the form: The = [ OCK UK + BK ]1/2 . where O- and Or are constants. Consider valid the variational principle that establishes that it is a maximum, or a minimum (extreme). Ock Uk/ Th = constant. Thus, this constant magnitude is conserved along the entire trajectory. 5) Schwarzschild metric and angular momentum: Consider the motion in a plane of a particle of mass m under the gravitational Coordinate to be influence of a large spherical mass M, described in the Schwarzschild metric for the situation where r> rs = 2 GM/c-. varied Apply the principle of maximum proper time and derive the result of the angular momentum of the particle as a function of the velocity components V and Vo, in Fixed start event the plane 0= 1/2. . Making the appropriate approximations, show that your result reproduces the angular momentum expression of Newtonian mechanics