%3Cp%3EWhat%20is%20the%20position%20of%20a%20particle%20on%20a%20string%20which%
ID: 3898999 • Letter: #
Question
%3Cp%3EWhat%20is%20the%20position%20of%20a%20particle%20on%20a%20string%20which%20oscillates%0Awith%20an%20amplitude%20of%203.5%20cm%20and%20a%20period%20of%206.5%20s%2C%20at%20a%20time%20of%0At%3D13.5%20s%20%3F%20Assume%20the%20motion%20is%20sinusoidal.%3C%2Fp%3E%0A%3Cp%3E%3Cbr%20%2F%3E%3C%2Fp%3E%0A%3Cp%3Eand%3C%2Fp%3E%0A%3Cp%3E%3Cbr%20%2F%3E%3C%2Fp%3E%0A%3Cp%3EWhat%20is%20the%20maximum%20velocity%20of%20a%2025%20gram%20mass%20oscillating%20with%0Aan%20amplitude%20of%204.5%20cm%20on%20a%20spring%20with%20constant%2047.6%20N%2Fm%3F%3C%2Fp%3E%0AExplanation / Answer
x(t) = Asin(wt-kx)
where;
w=angular frequency
t = time
so
w = 2*pi*f
f = 1/T
f = 0.1538
w = 0.9658 rad/s
so
x(t) = .035sin(.9658*13.5)
0.007896 m
b)dvelocity:
max speed is:
vmax = A omega
omega = sqrt (k/m)
Vmax=0.45(sqrt(47.6/25))
=0.1241 m/s
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