Math

posted by .

a weight of mass m is attached to a spring and oscillates with simple harmonic motion. By Hooke's Law, the vertical displacement, y(t) satisfies the differential equation dy/dt=sqrt(k/m)*sqrt(A^2-y^2)
where A(Fixed) is the maximum displacement and k is a constant, solve this differential equation by separation of variables, assuming that y(0)=0.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Physics

    A mass m is attached to a spring of constant k. The spring oscillates in simple harmonic motion (amplitude A). In terms of A: a) At what displacement from equilibrium is the speed half of the max value and b) at what displacement from …
  2. College Physics

    A mass of 0.4 kg, hanging from a spring with a spring constant of 80 N/m, is set into an up-and-down simple harmonic motion. What is the velocity of the mass when at its maximum displacement of 0.1 m?
  3. Physics: Simple Harmonic Motion

    A 10kg particle undergoes simple harmonic motion with an amplitude of 2.0mm, a maximum acceleration of 8.0x10^3 m/s^2, and an unknown phase constant (phi) What are: a.) the period of the motion b.) the maximum speed of the particle …
  4. physics

    A particle vibrates in Simple Harmonic Motion with amplitude. What will be its displacement in one time-period if you attach a mass to the spring from its initial equilibrium position, it vibrates forever in simple harmonic motion. …
  5. calculus

    Question 1: Experimentally it is found that a 6 kg weight stretches a certain spring 6 cm. If the weight is pulled 4 cm below the equilibrium position and released: a. Set up the differential equation and associated conditions describing …
  6. physics

    Objects of equal mass are oscillating up and down in simple harmonic motion on two different vertical springs. The spring constant of spring 1 is 186 N/m. The motion of the object on spring 1 has 3 times the amplitude as the motion …
  7. Physics

    A small mass attached to a spring oscillates with simple harmonic motion with amplitude of 70mm,taking 13 seconds to make 40 complete oscillations.Calculate the following showing steps; a.Its angular ferquency b.Its maximum speed c.Its …
  8. Physics

    A 0.46 kg mass oscillates in simple harmonic motion on a spring that has a spring constant of 2080 N/m. The spring was initially compressed 9.4 cm (a negative displacement) at t = 0 s. What's the velocity in m/s of the mass at t = …
  9. simple harmonic motion

    A 50-g mass is attached to a spring and undergoes simple harmonic motion. Its maximum acceleration is 15m/s2 and its maximum speed is 3.5m/s . Determine the angular frequency. Determine the spring constant. Determine the amplitude …
  10. physics

    An object of mass m attached to a spring of force constant k oscillates with simple harmonic motion. The maximum displacement from equilibrium is A and the total mechanical energy of the system is E. What is the object's velocity when …

More Similar Questions