Example 6 A spring is stretched 2 meters by a mass weighing 100 newtons. The mass is then replaced with another mass (Mass A) of 0.5 kg. Mass A is set in motion with an initial position 1 meter below equilibrium position before being released with an upward velocity of 5 m/s a) Find the equation of motion of Mass A at time t b) Determine the amplitude and period of the oscillations.
Example 6 A spring is stretched 2 meters by a mass weighing 100 newtons. The mass is then replaced with another mass (Mass A) of 0.5 kg. Mass A is set in motion with an initial position 1 meter below equilibrium position before being released with an upward velocity of 5 m/s a) Find the equation of motion of Mass A at time t b) Determine the amplitude and period of the oscillations.
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Transcribed Image Text:Example 6
A spring is stretched 2 meters by a mass weighing 100 newtons. The
mass is then replaced with another mass (Mass A) of 0.5 kg. Mass A is
set in motion with an initial position 1 meter below equilibrium
position before being released with an upward velocity of 5 m/s
a)
Find the equation of motion of Mass A at time t
b)
Determine the amplitude and period of the oscillations.
c)
Determine the first time at which Mass A attains its maximum
displacement from the equilibrium position and find its
maximum displacement.
d)
What happens to the system after a long time. Sketch the
graph
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