Related questions
Question
Transcribed Image Text:(b) Write a necessary condition for a transformation (q,p)
to (Q,P) to be connonical. Prove that
P-2(1+√qcosp)√q sinp:Q-log(1+√qcosp)
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by stepSolved in 2 steps
Knowledge Booster
Similar questions
- Using the result from part (a), evaluate = (^²+x²) y(x). (choose one) ( 1 + x²) √(x) y (x) X ( 121 - 12/27) 1 (X) y(x) ○ (1-x²) y(x) ○ (1+x²) y(x) 2 (1+77) w(0) y(x) (1-27) (0) y(x) 1 2 + X 2 2 y(x)arrow_forwardGiven vectors a=(5,3) and b=(-1,-2) Find the x-component of the resultant vector: T` = 2 a + 36arrow_forwardUsing spherical polar coordinates r, 0, p to find CM of a uniform solid hemisphere of radius R, whose flat face lies in the xy plane with its center at the origin. The element of volume is in spherical polars of dV = r² dr sine de dip.arrow_forward
- (3) The natural independent variables for U are (S, V), from dU = TdS – pdV. U = U(S,V) (), instead. Show that U = U (V,T) leads to a much more complicated expression for p, namely gives simple expressions for T and p as T = and ().: Suppose you use (V,T) p = - V dT + f(V), %D T where f (V) is an unknown function of V.arrow_forwardFind the divergence and curl of each of the following vector functions: 1. S = < xy, 2yz, 3zx > 2. E = < y^2, (2xy+z^2), 2yz >arrow_forwardLet n 1 be an integer, let to to is given by a stationary path of the Lagrangian functional C: L[x] = 1 dt L(t,x,x), x(0) =x0, x(t)=X1, where LT - V and T is the total kinetic energy T = n 1 k=1 2 mark. Using the above first-integral, show that, if V is independent of t, the total energy E=T+V of the particle is a constant of the motion.arrow_forward
arrow_back_ios
arrow_forward_ios