(a)
To calculate: The vertical position of a worn shock absorber on a car undergoes simple harmonic motion at
(b)
To calculate: The speed of changing the height of the car and the direction at times
(c)
To calculate: The frequency of oscillation of the car frame if a worn shock absorber on a car undergoes simple harmonic motion so that the height of the car frame after t seconds is given by
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Finite Mathematics and Applied Calculus (MindTap Course List)
- CONCEPTS For an object in simple harmonic motion with amplitude a and period 2/, find an equation that models the displacement y at any time t if a y=0 at time t=0: y= ____________. b y=a at time t=0: y= ____________.arrow_forwardHarmonic Motion The displacement from equilibrium of an oscillating weight suspended by a spring is given by y(t)=12cos6t where y is the displacement in feet and t is the time in seconds. Find the displacement when (a) t = 0, (b) t=14, and (c) t=12.arrow_forwardAPPLICATIONS Shock Absorber When a car hits a certain bump on the road, a shock absorber on the car is compressed a distance of 6 in., then released see figure. The shock absorber vibrates in damped harmonic motion with frequency of 2 cycles per second. The damping constant for this particular shock absorber is 2.8. a Find an equation that describes the displacement of the shock absorber from its rest position as a function of time. Take t=0 to be the instant that the shock absorber is released. b How long does it take for the amplitude of the vibration to decrease to 0.5 in.?arrow_forward
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