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categoryفيزياء
schoolبكالوريوس
event_available2026-07-13
السؤال
Transcribed Image Text:
Simple Harmonic Motion (SHM):
The most general form of the equation that describes any object undergoing SHM is given by:
•
A is the amplitude,
.
y(t) = A sin (2+)+ B
T is the period of oscillation,
•
is a constant phase factor, and
.
B is the equilibrium value of y(t), if it is not zero. We will normally let B = 0.
2) The constant phase factor tells about the initial conditions of the oscillating system, or the value
of displacement y(t) at /-0. For B-0, 1-2, and 7-5, use the general expression above to
sketch the following plots, all on the same graph. Your time axis should go from Os to = 10s,
a) Make a position vs. time plot for a spring mass system where we call 1-0 the lowest position
of the mass, once it's released after being pulled down. What value of o does this initial
condition represent?
b) Make another plot where at 1-0 the mass is moving down through its equilibrium position.
What value of does this initial condition represent?
c) Make two more plots for the cases of
i) =0, and
ii) =л/2.
Which positions of the spring-mass at /= 0 do these values of represent?
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