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 2 years ago
The position of a mass on a spring (relative to equilibrium) at time t <= 0 is
x(t) = 2 cos((pi)t) where x is in centimeters and t is in seconds. Answer the ques
tions. Include units!
(a) What is the initial position of the mass?
(b) What is the initial velocity of the mass?
(c) What is the initial acceleration of the mass?
(d) Does the mass initially move towards the wall or away from it?
(e) At what point does the mass rst turn around?
 2 years ago
The position of a mass on a spring (relative to equilibrium) at time t <= 0 is x(t) = 2 cos((pi)t) where x is in centimeters and t is in seconds. Answer the ques tions. Include units! (a) What is the initial position of the mass? (b) What is the initial velocity of the mass? (c) What is the initial acceleration of the mass? (d) Does the mass initially move towards the wall or away from it? (e) At what point does the mass rst turn around?

This Question is Closed

goformit100
 2 years ago
Best ResponseYou've already chosen the best response.0post the question in physics section Not here @GrizzlyChicken

GrizzlyChicken
 2 years ago
Best ResponseYou've already chosen the best response.1its in my calc book, isn't this math?

nphuongsun93
 2 years ago
Best ResponseYou've already chosen the best response.1a) put t = 0 and solve for x b) find x' and put t = 0 and solve for x' c) find x'' and put y = 0 and solve for x''

nphuongsun93
 2 years ago
Best ResponseYou've already chosen the best response.1it's both physics and math lol

nphuongsun93
 2 years ago
Best ResponseYou've already chosen the best response.1*typo fix* sorry c) find x'' and put t=0

GrizzlyChicken
 2 years ago
Best ResponseYou've already chosen the best response.1wait, its x(t)=2cos((pi)(t))

nphuongsun93
 2 years ago
Best ResponseYou've already chosen the best response.1still~ same way of solving :P

GrizzlyChicken
 2 years ago
Best ResponseYou've already chosen the best response.1damn, theres another error, i'm gonna look it all over again, for some reason copy and pasting changed everything

GrizzlyChicken
 2 years ago
Best ResponseYou've already chosen the best response.1at time t is greater or equal to 0. its right now

GrizzlyChicken
 2 years ago
Best ResponseYou've already chosen the best response.1so if i put 0 for t, its 2cos(0)

nphuongsun93
 2 years ago
Best ResponseYou've already chosen the best response.1yup, that's the initial position

GrizzlyChicken
 2 years ago
Best ResponseYou've already chosen the best response.1then for b) derivative of 2 is 0 so its all 0

nphuongsun93
 2 years ago
Best ResponseYou've already chosen the best response.1no no, find the derivative of the function x

GrizzlyChicken
 2 years ago
Best ResponseYou've already chosen the best response.1so the derivative of 2cos(pi*0)?

GrizzlyChicken
 2 years ago
Best ResponseYou've already chosen the best response.1which uses the product rule (0)(cos...)+(2)(sin(0))

GrizzlyChicken
 2 years ago
Best ResponseYou've already chosen the best response.1so the velocity is 0

nphuongsun93
 2 years ago
Best ResponseYou've already chosen the best response.1wops sorry i'm here x = 2 cos (pi t) x' = 2 pi sin (pi t)

nphuongsun93
 2 years ago
Best ResponseYou've already chosen the best response.1do you know how to derivative?

GrizzlyChicken
 2 years ago
Best ResponseYou've already chosen the best response.1yea, did you use the chain rule?

GrizzlyChicken
 2 years ago
Best ResponseYou've already chosen the best response.1is that why pi is with 2?

nphuongsun93
 2 years ago
Best ResponseYou've already chosen the best response.1no chain rule. derivative of cos is sin. pi 's brought out when derivative.

nphuongsun93
 2 years ago
Best ResponseYou've already chosen the best response.1dw:1349943924669:dw

nphuongsun93
 2 years ago
Best ResponseYou've already chosen the best response.1derivative again for the acceleration equation

nphuongsun93
 2 years ago
Best ResponseYou've already chosen the best response.1almost correct, but now pi is brought one more time so it's 2 pi^2 cos (pi t)

nphuongsun93
 2 years ago
Best ResponseYou've already chosen the best response.1x = 2 cos (pi t) x0 = 2 x' = v = 2 pi sin (pi t) v0 = 0 x'' = a = 2 pi^2 cos (pi t) a0 = 2pi^2 and idk how to do d and e

GrizzlyChicken
 2 years ago
Best ResponseYou've already chosen the best response.1does the mass move toward the wall because the acceleration is negative?

GrizzlyChicken
 2 years ago
Best ResponseYou've already chosen the best response.1oh, thats alright. you've helped me enough.Thanks!
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