Finding Velocity and Acceleration in Simple Harmonic Motion

Click For Summary

Homework Help Overview

The problem involves finding the velocity and acceleration of a mass in simple harmonic motion, described by the equation of motion x = (0.2m) sin (3t). The specific condition is to determine these quantities when the object is +5cm from its equilibrium position.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the definitions of velocity and acceleration and how to derive them from the given position function. There are attempts to clarify the process of differentiation to find expressions for velocity and acceleration.

Discussion Status

The discussion is ongoing, with participants seeking clarification on how to apply calculus to derive the necessary expressions. Some guidance has been provided regarding the differentiation process, but there is no explicit consensus on the next steps.

Contextual Notes

Participants express uncertainty about the statement of the problem and the calculations involved, indicating a need for further clarification on the definitions and applications of velocity and acceleration in this context.

vooov92
Messages
4
Reaction score
0
Please help me,

Question
The equation of motion of a mass is given as x = (0.2m) sin (3t). Find the velocity and acceleration of the mass when the object is +5cm from its equilibrium position.
 
Physics news on Phys.org
Given position, how do you find velocity and acceleration? (What are the definitions of velocity and acceleration?)

Hint: Use a bit of calculus.
 
how??
for v i use dx/dt
for a i use dv/dt

so how to solve it, i also not understand the statement... anyone can help me
 
vooov92 said:
how??
for v i use dx/dt
for a i use dv/dt
Exactly. So find expressions for v and a. Then combine them with the expression for x.
 
Doc Al said:
Exactly. So find expressions for v and a. Then combine them with the expression for x.

can u show me the work step... can?
 
You were given an expression for x, so find dx/dt for that expression.
 
Last edited:
Redbelly98 said:
You were given an expression for x, so find dx/dt for that expression.

tq very much...
 

Similar threads

  • · Replies 51 ·
2
Replies
51
Views
4K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 11 ·
Replies
11
Views
2K
Replies
16
Views
2K
  • · Replies 13 ·
Replies
13
Views
2K
  • · Replies 5 ·
Replies
5
Views
1K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 7 ·
Replies
7
Views
1K
Replies
5
Views
2K
Replies
7
Views
2K