https://phet.colorado.edu/sims/mass-spring-lab/mass-spring-lab_en.html Add a wei

Question

https://phet.colorado.edu/sims/mass-spring-lab/mass-spring-lab_en.html Add a weight and drag it down to start the stimulation

The claim has been made that the acceleration of this system is not constant. based on your observations of the mass on the spring, and using your physics knowledge, justify this claim.

Based on your observations where are the velocity, force, and acceleration at their maximum? minimum?

Based on your observations how does changing the amplitude affect the period?

Based on your observations how does changing the mass affect the velocity and the period?

Based on your observations is total energy conserved for the mass? (If so describe the process of conversion between potential and kinetic energy; if not why not?)

Explanation / Answer

1. In case of spring mass system the block of mass M executes SHM. In SHM the acceleration is not constant. It depends on displacement. Acceleration proportional to displacement but in opposite direction.

2.acceleration and force are maximum at extreme position of oscillation i.e., maximum elongation of spring.

Velocity is maximum at mean position i.e., at natural length of spring.

3. Period oscillation does not depends on amplitude. It depends on mass hanging the spring and force constant of spring.

4. Time period is directly proportional to square root of mass. Velocity is inversely proportional to mass.

5. Total energy is conserved. At maximum elongation it stored as potential energy of spring and it transfers to mass as kinetic energy at mean position.

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