physics

posted by .

A particle executes SHM with time period T and ampitude A.Find the maximum possible average velocity in time T/4

  • physics -

    Maximum velocity is achieved twice in every period. The average V will depend upon which T/4 interval is selected. Since the interval is less than half the period, true maximum velocity may not be achieved during that short interval.

    The maximum AVERAGE velocity in a T/4 interval will occur when it occurs in the middle of that interval.

    Vav,max = Vmax*(Integralof)cos(2 pi t/T) dt/(T/4)
    from t = -T/8 to T/8

    Compute that integral for:
    Vmax = 2 pi*(Amplitude)/T

  • physics -

    8A/T

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. physics

    The position of a particle moving along an x axis is given by x = 15t2 - 2.0t3, where x is in meters and t is in seconds. (a) Determine the position, velocity, and acceleration of the particle at t = 3.0 s. x = m v = m/s a = m/s2 (b) …
  2. Calculus

    The table shows the position of a cyclist. t (seconds) 0 1 2 3 4 5 s (meters) 0 1.6 4.6 10.4 17.8 25.2 (a) Find the average velocity for the time period [1, 3]. ?
  3. CALCULUS

    The displacement (in centimeters) of a particle moving back and forth along a straight line is given by the equation of motion s = 3sin(ðt) + 5cos(ðt), where t is measured in seconds. (Round all answers to the nearest hundredth.) …
  4. physics

    A particle executes simple harmonic motion with an amplitude of 10 cm and time period 6 s. At t=0 it is at position x=5 cm going towards positive x direction . Write the equation for the displacement x at time t. Find the magnitude …
  5. Calculus

    If a ball is thrown in the air with a velocity 44 ft/s, its height in feet t seconds later is given by y = 44t - 16t2. (Round your answers to one decimal place.) (a) Find the average velocity for the time period beginning when t = …
  6. Calculus

    The displacement (in meters) of a particle moving in a straight line is given by the equation of motion s = 5/t2, where t is measured in seconds. Find the velocity of the particle at times t = a, t = 1, t = 2, and t = 3. (a) Find the …
  7. Physics

    A particle executes SHM such that at a given time it is at x= +1/4 the amplitude, moving away from equilibrium, and 0.7 seconds later the particle has -1/6 the maximum speed moving away from equilibrium. Find the period of the motion.
  8. Physics

    A particle executes SHM such that at a given time it is at x= +1/4 the amplitude, moving away from equilibrium, and 0.7 seconds later the particle has -1/6 the maximum speed moving away from equilibrium. Find the period of the motion.
  9. physics

    a particle executing shm time period t from mean position the time to complete 5/8 oscillation
  10. Physics

    The velocity graph of a particle moving along the x-axis is shown. The particle has zero velocity at t=0.00s and reaches a maximum velocity, vmax, after a total elapsed time, t total. If the initial position of the particle is x0 =6.22m, …

More Similar Questions