Harmonic Motion with Two Masses: What Happens When One Falls Off?

In summary, the conversation discusses a situation where two masses are attached to a spring, with known values for mass, spring constant, and length. The bodies are moving in harmonic motion with an amplitude of A, but on one oscillation, the bottom mass falls off. The questions posed include determining the new amplitude, distance from the ceiling when kinetic energy is maximal, time passed from separation to maximal kinetic energy, and finding the kinetic energy. The person asking for help is reminded to attempt the problem before seeking assistance.
  • #1
transgalactic
1,395
0
i added a picture which illustrates the situation that i am describing.

we put two masses on a spring.each masses weighs m .
the luse length of the sping is L. the spring constant is K.
both of the bodies (sticked together) are moving in a harmonic motion
with an amplitude A.

on one of the Oscillations when both of the masses where on the lowest
point of their course the bottom mass fell off.

g, A ,m, k ,L are known

1.what is the new amplituted (when there is only one mass left)?

2.what is the distance between the the mass and the ceiling
when its kinetic energy is maximal?

3.how much time passes from the moment of the separation
to the moment it reaches maximal kinetic energy?

4.find the kinetic energy?
 

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  • #2
Please show your own efforts.
 
  • #3
does anyone knows how to answer this question?

does anyone knows how to answer this question?
 
  • #4
PF requires that you attempt the problem before asking for help. Thanks!
 

1. What is harmonic motion?

Harmonic motion is the repetitive back-and-forth movement of an object around an equilibrium point, caused by a restoring force that is proportional to the displacement from the equilibrium point.

2. What is an example of harmonic motion?

One example of harmonic motion is a simple pendulum, where a mass is suspended from a string and swings back and forth due to the force of gravity.

3. What is the equation for harmonic motion?

The equation for harmonic motion is x = A*sin(ωt + φ), where x is the displacement from the equilibrium point, A is the amplitude of the motion, ω is the angular frequency, and φ is the phase angle.

4. How is harmonic motion different from linear motion?

Harmonic motion involves a restoring force that is proportional to the displacement from the equilibrium point, while linear motion involves a constant force acting on an object in a straight line.

5. What is the relationship between frequency and period in harmonic motion?

The frequency of harmonic motion is inversely proportional to the period, meaning that as the frequency increases, the period decreases. Frequency is measured in Hertz (Hz) and period is measured in seconds (s).

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