06 BEDFORD: A spring-mass oscillator consists of a mass and a spring connected as shown. The coordinate s measures the displacement of the mass relative to its position when the spring is unstretched. Suppose that the nonlinear spring subjects the mass to an acceleration a = -4S – 253 m/sec² and that you give the mass a velocity v, = 1 m/s in the position S, = 0 (a) How far will the mass move to the right before the springs brings it to a stop? (b) What will be the velocity of the mass when it has returned to the position s = 0?

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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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Q6 BEDFORD: A spring-mass oscillator consists of a mass and a
spring connected as shown. The coordinate s
measures the
displacement of the mass relative to its position when the spring is
unstretched. Suppose that the nonlinear spring subjects the mass to
an acceleration a = -4S – 2S³ m/sec? and that you give the mass a
velocity v, = 1 m/s in the position S,
(a) How far will the mass move to the right before the springs brings
it to a stop?
(b) What will be the velocity of the mass when it has returned to the
position s =
0?
Transcribed Image Text:Q6 BEDFORD: A spring-mass oscillator consists of a mass and a spring connected as shown. The coordinate s measures the displacement of the mass relative to its position when the spring is unstretched. Suppose that the nonlinear spring subjects the mass to an acceleration a = -4S – 2S³ m/sec? and that you give the mass a velocity v, = 1 m/s in the position S, (a) How far will the mass move to the right before the springs brings it to a stop? (b) What will be the velocity of the mass when it has returned to the position s = 0?
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