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The two trajectories to the left correspond to the initial conditions: x(0) = -5

ID: 1836270 • Letter: T

Question

The two trajectories to the left correspond to the initial conditions: x(0) = -5, v(0) = -4 and x(0) = -1, v(0) = 5 Complete the following using the graph. Write your answers after each question on this page. Estimate all answers to the tenth and for each answer place a point in the graph to indicate where you were looking to determine your answer. You do not have to included units with your answers. (C.4.1) Estimate the velocity of the mass as it passed through equilibrium or indicate that it never passed through equilibrium For the initial conditions x(0) = -5. v(0) = -4. For the initial conditions x(0) = -1, v(0) = 5. (C.4.2) Estimate the maximum distance from equilibrium the mass reached- For the initial conditions x(0) = -5, v(0) = -4. For the initial conditions x(0) = -1, v(0) = 5. (C.4.3) For the initial conditions x(0) = -5, v(0) = -4, what was the maximum positive velocity obtained by the mass and what was the displacement when this velocity was reached?

Explanation / Answer

c4.1)

inital condition x(0)=-5 v(0) = -4

when at equilibrium vel =0

inital condition x(0)=-1 v(0) = 4

when at equilibrium vel =0

C4.2)

inital condition x(0)=-5 v(0) = -4

maximum displacement from equilibrium pos = 5 , equilibrium pos x =0

inital condition x(0)=-1 v(0) = 5

maximum displacement from equilibrium pos = 1 , equilibrium pos x =0

inital condition x(0)=-5 v(0) = -4

maximum pos. vel = 5

displacement = -1