The displacement of a particle in simple harmonic motion is described by the equation: x= 5.0 cos (2nt+ n/3) where x in meter, f in seconds and (2rt + a/3) in 10. radian. Determine at t = 4.0 s a) The displacement b) The velocity c) The acceleration
The displacement of a particle in simple harmonic motion is described by the equation: x= 5.0 cos (2nt+ n/3) where x in meter, f in seconds and (2rt + a/3) in 10. radian. Determine at t = 4.0 s a) The displacement b) The velocity c) The acceleration
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Transcribed Image Text:b) The acceleration when the displacement is 0.10 mm
c) Deduce an expression for the displacement, x, in terms of the time, t. Assume
that when t = 0 s, the end is at the equilibrium position.
10.
The displacement of a particle in simple harmonic motion is described by the
equation: x = 5.0 cos (2nt+ a/3) where x in meter, t in seconds and (2zt + a/3) in
radian. Determine at t = 4.0 s
a) The displacement
b) The velocity
c) The acceleration
3
11.
а)
х (т)
T
t (s)
-2
FIGURE 1.1
The graphs in FIGURE 1.1 show the variation of displacement, x with time, 1
for an object in simple harmonic motion. Determine the frequency of the
object if the maximum velocity is 6 ms
4/8
b)
х (т)
t (s)
-4
FIGURE 1.2
Determine the frequency of the motion from graph in FIGURE 1.2 above if
the maximum velocity is 10 ms
4
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