2. A spring with a mass of 2 kg has damping constant 14, and a force of 6 N is required to keep the spring stretched 0.5 m beyond its natural length. The spring is stretched 1 m beyond its natural length and then released with zero velocity. Find the position of the mass at any time t. Find the mass that would produce critical damping. (i) (ii)
2. A spring with a mass of 2 kg has damping constant 14, and a force of 6 N is required to keep the spring stretched 0.5 m beyond its natural length. The spring is stretched 1 m beyond its natural length and then released with zero velocity. Find the position of the mass at any time t. Find the mass that would produce critical damping. (i) (ii)
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Solve the following problem and show your complete solutions. Explain your work for better understanding.
Transcribed Image Text:Solve the following problem and show your complete solutions. Explain your work for better
understanding.
2. A spring with a mass of 2 kg has damping constant 14, and a force of 6 N is required to keep the
spring stretched 0.5 m beyond its natural length. The spring is stretched 1 m beyond its natural
length and then released with zero velocity.
(i)
(ii)
dt
Find the position of the mass at any time t.
Find the mass that would produce critical damping.
+14+12y=0, y(0) = 1, y(0) = 0
8²-4mk=0 m =
4k
49
4(12) 12
kg
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