Simple harmonic motion block and spring

Click For Summary

Homework Help Overview

The problem involves a block attached to a spring undergoing vertical oscillation, with specified amplitude and frequency. The task is to calculate the phase angle based on the given displacement from equilibrium and motion direction.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss the use of the provided equation for displacement and question the correctness of the initial values used, particularly the displacement and the implications of the block's upward motion.

Discussion Status

Some participants are exploring the implications of the block's motion direction on the phase angle calculation. There is an ongoing examination of the values used in the calculations, with hints provided to guide the original poster's reasoning without leading to a definitive solution.

Contextual Notes

There is uncertainty regarding the accuracy of the problem statement as copied by the original poster, which may affect the calculations. The discussion also hints at the relevance of the block's motion direction in determining the phase angle.

banfill_89
Messages
47
Reaction score
0

Homework Statement


A block, attached to a spring, is set into vertical oscillation with an amplitude of 25.0 cm and a frequency of 5.00 Hz. At t = 0.00 s, the block is 14.0 cm below the equilibrium position and is moving upwards. Assume that the displacement from equilibrium is given by
y = ym cos(ω t + φ ) , with y positive upwards.
Calculate the phase angle, φ.
(a) 5.31 rad
(b) 0.976 rad
(c) 4.12 rad
(d) 2.17 rad
(e) 1.87 rad

the answer is c...

Homework Equations



ive been using the equation that was given to me in the question, using 0.14m as my y, 0.25m as my ym, 0 as my t therefore w isn't needed? and i have a frequency? I am lost...please help lol

i am arriving at (b)...if this helps at all



The Attempt at a Solution

 
Physics news on Phys.org
Did you use the fact that the block is moving upwards? Here's a hint: what is the numerical difference between b and c? Does it look familiar?
 
pi lol...do i have to add pi? confusion
 
banfill_89 said:
do i have to add pi?
That was only a hint. Forget about [itex]\pi[/itex].

EDIT: Your y is wrong. Can you tell me why? (haha)

EDIT: EDIT: Wait a minute! THEIR y is wrong! Are you sure you copied every word of the problem correctly?
 
Last edited:

Similar threads

  • · Replies 5 ·
Replies
5
Views
1K
  • · Replies 51 ·
2
Replies
51
Views
4K
Replies
16
Views
2K
Replies
7
Views
1K
  • · Replies 11 ·
Replies
11
Views
2K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 5 ·
Replies
5
Views
3K
  • · Replies 6 ·
Replies
6
Views
4K
  • · Replies 7 ·
Replies
7
Views
2K
  • · Replies 11 ·
Replies
11
Views
3K