HELP! Oscillation Problem Solution

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Homework Help Overview

The discussion revolves around an oscillation problem involving the equation of motion for an object, specifically y(t)=2.0cos(0.5t+pi/4) meters. Participants are tasked with finding maximum acceleration, maximum speed, and position at these maxima, as well as speed at a specific displacement and energy calculations.

Discussion Character

  • Exploratory, Conceptual clarification, Problem interpretation

Approaches and Questions Raised

  • The original poster attempts to understand the meaning of "maximum" in the context of the problem, questioning whether it refers to the cosine function equaling 1. They also express uncertainty about deriving velocity and acceleration from the given equation and how to find mass for energy calculations.

Discussion Status

Some participants have provided guidance on deriving velocity and acceleration from the motion equation, while others are seeking clarification on the concept of maximum values. There is an ongoing exploration of interpretations regarding the definitions and calculations involved.

Contextual Notes

Participants are grappling with the implications of the problem's requirements, including the need for mass in energy calculations and the interpretation of maximum values in trigonometric functions.

Kudo Shinichi
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HELP!A problem on oscillation

Homework Statement
the equation of motion of an object is y(t)=2.0cos(0.5t+pi/4)meter
a) Find its maximum acceleration and maximum speed, and its position at the time of these maxima.
b) what is the speed of the object when it is +1.2m from its equilibrium position?
c) what are the kinetic potntial and total energies at that point?


The attempt at a solution
a) for this part I don't reall understand what does the question mean by the maximum, is it when cos equals to 1?
b) derive 2.0cos(0.5t+pi/4), which equals to -2sin(0.5t+pi/4)*0.5=-1sin(0.5t+pi/4)
then plug the 1.2 into the unknown variable, which equals to -sin(0.5*1.2+pi/4)=-0.98 I don't really think it is the correct solution for this part
c) I have to find out the correct v from part B and plug into both kinetic and potential energy equation, but I have one more problem here, which is how do i get mass for this question?
P((1/2mv^2)i) + K(1/2mv^2)i) = P((1/2mv^2)f) + K(1/2mv^2)f)

Thank you for helping me.
 
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You're given the equation for motion.

velocity is the first derivative.

acceleration is the second derivative.

At what value of t then do each of these functions reach their max?
 


LowlyPion said:
You're given the equation for motion.

velocity is the first derivative.

acceleration is the second derivative.

At what value of t then do each of these functions reach their max?

Sorry, but i still don't quite understand what does max mean, does it mean that when cos or sin equals to 1?
 


Kudo Shinichi said:
Sorry, but i still don't quite understand what does max mean, does it mean that when cos or sin equals to 1?

I'd say so.
 

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