A particle moves with SHM linearly from points A to B 1.5 m apart. The particle moves as a function of time as follows: X = 0.75 sin wt t = 1 sec If the frequency of oscillation is 5 Hz. a. Find the periodic time. b. Find the displacement, velocity and acceleration for t = 1s in terms of X = a sin wt V = -a w cos wt a = -w²a sin wt c. Determine the maximum velocity and acceleration when the particle is 250 mm from the centre of the oscillation.
A particle moves with SHM linearly from points A to B 1.5 m apart. The particle moves as a function of time as follows: X = 0.75 sin wt t = 1 sec If the frequency of oscillation is 5 Hz. a. Find the periodic time. b. Find the displacement, velocity and acceleration for t = 1s in terms of X = a sin wt V = -a w cos wt a = -w²a sin wt c. Determine the maximum velocity and acceleration when the particle is 250 mm from the centre of the oscillation.
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Transcribed Image Text:QUESTION #1
A particle moves with SHM linearly from points A to B 1.5 m apart. The particle moves as a
function of time as follows:
X = 0.75 sin wt
t = 1 sec
If the frequency of oscillation is 5 Hz.
Find the periodic time.
b. Find the displacement, velocity and acceleration for t= 1s in terms of:
X = a sin wt
V = -a w cos wt
a = -w²a sin wt
c. Determine the maximum velocity and acceleration when the particle is 250 mm from the
centre of the oscillation.
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