Question

8:41 Done 203-NYC-05_Waves_Optics_and_... Force 80 70 50 40 30 WW 10 002 06 1014 Potom XEA XA Question 2 (15 points): A spring-mass system is cscillating between x = -A and x = Aon a frictionless surface. The mass of the block is 5kg. The loft diagram represents the absolute force applied by the spring as a function of the deformation of the spring Given that at time zero, the position is equal to 0.8m and the velocity is equal to 0.8m (the block is moving in the positive direction), find a) The total mechanical energy of this system and the maximum velocity (10 points) b) The wave equation. (5 points) iii

Answer 1

Solution from F-n graph slope = K K = 0-2 [k k = SN/m . 1 skg. 19 co J S S = 1 radisc h = -0.8 / 5o) = A sin (wt + d) -0. Sa A sin(a): - at f=o w - V = 0. O. Gmis AW ces (ofto) Aw - ☺ 0.7 axo) from eqh is and A sind -0.8 1) Aw Cos d 6.6 tad colo colo tad [$ 53'] CSScanned with Cam Scanner

A sincot -530) at f=o ha-o.8 -osa A sin (-53) A Im So, a T.E = Im 0²42 = {x sx 1² x12 7. E = 2.5 Answer 5) wavo ogh th= A sin (of -S3° Asaser Scanned with Cam Scanner