Forced Oscillation - drwls => I need your help =)

A 2.00kg object attatched to a spring moves without friction and is driven by an external force given by

F= (3.00N)sin(2pi*t)

The force constant of the spring is 20N/m. Determine
a) period
b) amplitude of motion

a)T= 2pi/omega
T= 2pi/ 2pi= 1s

b)A= (Fo/m)/ sqrt(omega^2- omegao^2)^2 + (b*omega /m)^2

I think that..
omega= omegao
b= 0

so then

A= Fo/ m = 3.00N/2.00kg = 1.5 ???

My book states that a) is 1s but b) is 5.09cm which I can't seem to get.


  1. 👍
  2. 👎
  3. 👁
  1. Um ...actually I figured that I got omega mixed up.

    so basically I got the answer.

    P.S. Thanks for helping me out with my other problems drwls

    1. 👍
    2. 👎
  2. Your equation for A in terms of F/m is not correct. The lead term should be F/k, followed by a dimensionless amplification factor that depends upon the forcing frequency, natural frequency and damping. Since you are far from resonance, the damping term can be neglected or set equal to zero.

    The equations you need can be found at, and in most introductory physics or mechanics texts.

    1. 👍
    2. 👎
  3. Um I'm confused since that is the equation I got from my textbook so why is my book incorrect drwls?

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. physics

    when a 2.50 kg object is hung vertically on a certain light spring described by hookes law the spring stretches 2.76 cm. A) what is the force constant of the spring. B) if the 2.50 kg object is removed how far will the spring

  2. Science

    Study the scenario. Avery shakes one end of a spring side to side. The wave travels from her end of the spring to the opposite end of the spring. Which of the following choices best describes the type of wave generated in the


    A spring is hung from a ceiling, and an object attached to its lower end stretches the spring by a distance d = 7.70 cm from its unstretched position when the system is in equilibrium as in the figure below. If the spring constant

  4. Physics

    A block of mass m is placed in a smooth-bored spring gun at the bottom of the incline so that it compresses the spring by an amount x_c. The spring has spring constant k. The incline makes an angle theta with the horizontal and

  1. Physics

    3 kg object is fastened to a light spring with the intervening cord passing over a pulley. The pulley is frictionless and it's inertia may been neglected. The object is released from rest when the spring is unstretched. If the

  2. Physics

    A 200 g object on a frictionless, horizontal lab table is pushed against a spring of force constant 35.0 N/cm and then released. Just before the object is released, the spring is compressed 11.0 cm. How fast is the object moving

  3. physics

    When a 2.60-kg object is hung vertically on a certain light spring described by Hooke's law, the spring stretches 2.30 cm. (a) What is the force constant of the spring? (b) If the 2.60-kg object is removed, how far will the spring

  4. physics

    A steel ball of mass m=5 g is moving at a speed of 250 m/s toward a large mass M=2.2 kg which is connected to a relaxed spring, as shown below. When the ball reaches the large mass it collides and bounces off without losing any

  1. physics

    the force exerted by a spring increases as the spring stretches. imagine that you attach a heavy object to one end of a spring and then, while holding the springs other end, whirl the spring and object in a horizontal circle. does

  2. physics again it didnt work.

    A moving 1.60 kg block collides with a horizontal spring whose spring constant is 295 N/m. The block compresses the spring a maximum distance of 3.50 cm from its rest position. The coefficient of kinetic friction between the block

  3. Physics

    A spring with k=40.0 N/m is at the base of a frictionless 30.0 degree inclined plane. A 0.50-kg object is pressed against the spring, compressing it 0.20m from its equilibrium position. The object is then released. If the object

  4. physics

    A 0.6-kg object moves in a horizontal circular track with a radius of 3.3m. An external force of 6.8 N, always tangent to the track , causes the object to speed up as it goes around. The work done by the external force as the

You can view more similar questions or ask a new question.