50 g = .050 kg = m
sinusoidal motion kinematics:
x = A sin wt
v = Aw cos wt
a = -Aw^2 sin wt = -w^2x
givens:
A w^2 = 15
A w = 3.5
so
3.5 w = 15
w = 15/3.5 radians /second first answer
Newton #2
F = -kx = m a
so
-k x = -m w^2 x
or
w^2 = k/m
w = sqrt (k/m)
15/3.5 = sqrt (k/.050)
solve for k - second answer
A = amplitude = 3.5/w third answer
A 50-g mass is attached to a spring and undergoes simple harmonic motion. Its maximum acceleration is 15m/s2 and its maximum speed is 3.5m/s .
Determine the angular frequency.
Determine the spring constant.
Determine the amplitude of the motion.
how do I find these things?
1 answer