Physics

posted by .

A mass is suspended from a vertical spring and the system is allowed to come to rest. When the mass is now pulled down a distance of 76mm and released, the time taken for 25 oscillations is 23s.
Find the displacement of the mass from its rest position 0.6s after being released. State the direction of this displacement.

The answer is -43.1mm upward, but I am not sure how to work out the direction?

  • Physics -

    The oscillation period is 23/25 = 0.920 seconds. 0.6 seconds is 0.65217 periods after the maximum displacement, so the phase angle is x = 4.0977 radiansafter maximum downward displacement.
    Displacement @ t=0.6 s (with + being down)
    = 76 mm*(cos x)
    = 76 mm*(-0.57668)
    = -43.8 mm (- is upward)
    I believe my -43.8 mm answer is more accurate than the -43.1 that you quote.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Physics

    A spring with spring constant 14.0 N/m hangs from the ceiling. A 490 g ball is attached to the spring and allowed to come to rest. It is then pulled down 8.00 cm and released. What is the time constant if the ball's amplitude has decreased …
  2. physics

    When a mass is attached to a vertical spring, the spring is stretched a distance d. The mass is then pulled down from this position and released. It undergoes 52 oscillations in 28.3 s. What was the distance d?
  3. Physics

    A spring id vertically, as shown below, and a 500g mass is hung from its lower end. The EQUILIBRIUM extension of the spring is observed to be 10.0cm. (1) What is the spring constant of the spring?
  4. physics

    One end of a massless coil spring is suspended from a rigid ceiling. It is found that when a 4 kg mass is suspended from it the spring stretches 90 mm when the mass comes to rest. (a) What is the spring constant for the spring B)If …
  5. physics

    One end of a massless coil spring is suspended from a rigid ceiling. It is found that when a 3.3 kg mass is suspended from it the spring stretches 105 mm when the mass comes to rest. (a) What is the spring constant for the spring?
  6. physics

    A mass of 2 kg is hung from the lower end of a vertical spring and extends it by 40 cm. The mass is now pulled down a further 20 cm and is then released from rest so that it oscillates about the equilibrium position. Determine : a) …
  7. Physics

    A spring with spring constant 20.0 hangs from the ceiling. A 590 ball is attached to the spring and allowed to come to rest. It is then pulled down 7.10 and released. What is the time constant if the ball's amplitude has decreased …
  8. Physics

    A spring with spring constant 20.0N/m hangs from the ceiling. A 590g ball is attached to the spring and allowed to come to rest. It is then pulled down 7.10cm and released. What is the time constant if the ball's amplitude has decreased …
  9. Physics

    When a mass is attached to a vertical spring, the spring is stretched a distance d. The mass is then pulled down from this position and released. It undergoes 53 oscillations in 30.6 s. What was the distance d?
  10. PHYSIC

    WHEN A MASS IS ATTACHED TO A VERTICAL SPRING,THE SPRING IS STRETCHED A DISTANDE d.THE MASS IS THEN PULLED DOWN FROM THIS POSITION ANDS RELEASED.IT UNDERGOES 50 OSCILLATIONS IN30SECONDS.WHAT WAS THE DISTANCE d?

More Similar Questions