Question

A mass weighting 4pounds spring at cred to spring whose spring constant is siblft. pdf what is the mass m? what is the o E3 what is equation of motion (gereral solution) a) m = 3, +8x=0, x=Cicos8t + G Singe () weg, 802, dx? *8x=0, x= ci las Ft + ca Sinize 8 x=0, x=6, Cost Sint d) m=4, 4d² dxz tx=0, x=C, cos Ž + + C₂ sin / Ł dx² b) m = 4 4 d x +C2 dy? 8 é nore

7.
please show all work specify which letter answer

Answer 1

Solution: we know that , IF the and K be the ane spring constant Constant a mass attached ß be positive damping Differential equation. then = - kn - ß an atz at In given question, m=4, B=os then differential equation ca. 4 d²n anz = -fn 4 d2n dna ten ů. quation 482 + 8 =0 the ai aunillary 422-8 82 t vai then general solution is Inet) = C, cos at & asin at

We conclude that me 4, and differential equation is 4 2²n dtz of s nao ů. then general pratation is sin vat nit) Cocos vat te ů correct. so (b) option