The general model is : Simple harmonic motion - Wikipedia, the free encyclopedia
Using your data, . There is insufficient information to calculate a value for .
Hi, there is a question in my text that has stumped me. I have looked throught the book and there is nothing simliar in the examples. Q, The period of a particle moving in SHM has a period of 6 seconds and an amplitude of 8 cm. Calculate the velocity and acceleration when the displacement when the particle is 5 cm from the centre of motion.
How do I use p=6 s and a=8 cm to derive an equation for the displacement? Will it be cos or sin? Can it be either? How would you know?
I'm thinking I need to find the equation for the displacement making x=5 and solve for t. Then I could differentiate x to get v and a, substituting in my value for t. But how do I start?
Thanks!
The general model is : Simple harmonic motion - Wikipedia, the free encyclopedia
Using your data, . There is insufficient information to calculate a value for .
rad/s
when cm,
at cm, ...
at 5 cm ...
cm/s
or, using Mr. F's suggestion and ignoring since it doesn't matter ...
at ...
use to evaluate and ...
remember that will have a sign opposite to , and can be positive or negative depending on which way the object is traveling in the cycle.
Use a calculator.
arcos is equivalent to inverse cos is equivalent to . Read Trigonometry: Inverse Cosine and Inverse Sine - CliffsNotes