Email

Chat with tutors

Login

Ask Questions, Get Answers

Menu X

home ask tuition questions practice papers mobile tutors pricing

X

Recent questions tagged telegram-55829

(chatquestion)...A particle oscillates with amplitude A in a one-dimensional potential U (x) that is symmetric about x = 0, i.e. U (x) = U(-x). (a) Show, from energy considerations, that the velocity v of the particle at displacement x from the equilibrium position (x = 0), is given by v = /2[U (A) – U(x)]/m. (b) Hence show that the period of oscillation T is given by dx T = 4, V[I- U(x)/U(A)] 2U (A) Simple Harmonic Motion (c) If the potential U (x) is given by U (x) = ax" where a is a constant and n = 2, 4, 6, ..., obtain the dependence of the period T on the amplitude A for different values of n = 2, 4, .... (Hint: Introduce the new variable of integration = x/A in the above expression for the period T.)

asked Feb 8, 2020 by balaji.thirumalai

0 answers

To see more, click for the full list of questions or popular tags.

Feedback Terms Facebook Twitter About Us

Your payment for is successful.

...