hree springs are available to use in the system: one with spring constant k = 4, one with k = 8, and one with k = 16. Which of these springs, if any, would result in the object moving with oscillations? Justify your answer.

College Physics
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Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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(b) Three springs are available to use in the system: one with spring constant k = 4, one
with k = 8, and one with k = 16. Which of these springs, if any, would result in the
object moving with oscillations? Justify your answer.

 

An object of mass 4 kg is suspended vertically from a spring, with spring constant k N m-¹
where k is a constant. Air resistance acts on the object with damping constant 3 = 12 N s m-¹.
Gravity acts on the object with gravitational constant g = 9.8 m s2. No other forces act on
the object. At equilibrium, the spring is stretched by s metres from its natural length. Let y(t)
be the distance in metres of the object below its equilibrium position at time t seconds.
(a) Use Newton's second law to derive the equation of motion of the system.
Transcribed Image Text:An object of mass 4 kg is suspended vertically from a spring, with spring constant k N m-¹ where k is a constant. Air resistance acts on the object with damping constant 3 = 12 N s m-¹. Gravity acts on the object with gravitational constant g = 9.8 m s2. No other forces act on the object. At equilibrium, the spring is stretched by s metres from its natural length. Let y(t) be the distance in metres of the object below its equilibrium position at time t seconds. (a) Use Newton's second law to derive the equation of motion of the system.
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