Simple harmonic motion block and spring

AI Thread Summary
A block attached to a spring undergoes vertical oscillation with a specified amplitude and frequency, starting 14.0 cm below equilibrium and moving upwards. The displacement equation y = ym cos(ω t + φ) is used to find the phase angle φ, with multiple choice answers provided. Participants express confusion over the calculations, particularly regarding the correct value of y and the need for angular frequency. A hint suggests that the numerical difference between two answer choices relates to π, prompting further discussion about whether to add π. Ultimately, the correct phase angle is determined to be 4.12 rad.
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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

 
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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 \pi.

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?
 
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