Please explain why beta = 2omega is an example of a critically damping motion for a damped harmonic oscillator?

A system with 100g_mass and a spring constant of k=150N/m has a damping constant y=1.1. ASsume the mass was pulled to the right 30 cm at t=0and released. a)Estimate the time at which the amplitude has decayed to ¼ of its initial value. b)Assume the system is connected to a forcing function given by(in Newtons)F(t)=3coswtEstimate the value of the amplitude at resonance.

The position of an object undergoing simple harmonic motion isgiven by x = A cos1Bt2. Explain the physical significance of theconstants A and B. What is the frequency of this object’s motion?

Can you help me with this question please. I appreciate your help!

B7

Please explain why beta = 3omega is an example of a critically damping motion for a damped harmonic oscillator?

you have a spring. you stick a ball with a mass of 3 killograms on it. you know the damping constant is 6. the spring with the mass on it can be extended 2.5 m beond its equlibrium length when a force of 5 newtons acts on it. assume that you stetch the spring to 5 meters beond its natural equilibrium length and then you realse it with zero velocity.  in the notation of the text, what is the value c2-4mk? write your answer in the blank provided below:  ______________________m2kg2/sec2

Calculate the velocity of a simple harmonic oscillator with amplitude of 29 cm and frequency of 5 Hz at a point located 5 cm away from the equilibrium position. Give your answer in SI units. Answer: Choose...