(a) What is the range of values of (a) for which the body moves (i) with oscilla
ID: 3187854 • Letter: #
Question
(a) What is the range of values of (a) for which the body moves
(i) with oscillations,
(ii) without oscillations? (
b) Find the general solution for any a < 4. (Your solution should be a formula depending on the parameter 'a' Prove that it follows from the solution obtained that the body slows down to a virtual rest state at large time (i.e. when t -> infinity)
(c) Find the particular solution for 'a' = 4 subject to the initial conditions y(0) = 0, dy/dt = 1 m/s at t = 0. Plot this solution and determine the largest displacement of the mass using calculus.
Explanation / Answer
a) for osclation f = -ky form so a= 0 II) for not oscilating : a not equal to 0
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