Spring Mass System: Calculating Frequency, Acceleration, and Velocity

Click For Summary
SUMMARY

The discussion focuses on calculating the frequency, maximum acceleration, and maximum velocity of a mass-spring system. The mass causes a vertical spring to extend by 25mm to its equilibrium position and is then displaced an additional 20mm. The expected frequency of vibration is derived using the formula f=1/T, while the maximum acceleration and velocity can be calculated using the displacement equation x=Asin(wt+o). The key to solving these problems lies in understanding the harmonic motion of the system.

PREREQUISITES
  • Understanding of harmonic motion principles
  • Familiarity with spring constants and Hooke's Law
  • Knowledge of trigonometric functions in physics
  • Ability to apply kinematic equations for oscillatory motion
NEXT STEPS
  • Learn how to derive the spring constant using Hooke's Law
  • Study the relationship between frequency and period in oscillatory systems
  • Explore the derivation of maximum acceleration and velocity in harmonic motion
  • Investigate the use of differential equations in modeling spring-mass systems
USEFUL FOR

Students studying physics, specifically those focusing on mechanics and oscillatory motion, as well as educators looking for practical examples of spring-mass systems in action.

d.r
Messages
3
Reaction score
0

Homework Statement



a mass attached to the lower end of a vertical spring causes the spring to extend by 25mm to its equilibrium position. The mass is then displaced a further 20mm and released. a trace of the vibration and time mesurements are taken. From these mesurements it can be seen that the displacement from the equilibrium position is 19.2mm when the time is 0.05s

A) calculate the expected frequency of vibration

B) calculate the maximum acceleration of the mass

C) calculate the maximum velocity of the mass

Homework Equations



i believe the frequency formule to be f=1/T Hz

The Attempt at a Solution



i am having an problem knowing were to start with this as i believe the key is finding out the weight of the Mass any help or pointers would be greatfully recived

many thanks
 
Physics news on Phys.org
maybe you want first to write what is the expression of the displacement , then solve the rest of the question ..

hint: note that you are dealing with a special kind of motion here ..
 
thebigstar25 said:
maybe you want first to write what is the expression of the displacement , then solve the rest of the question ..

hint: note that you are dealing with a special kind of motion here ..

would that be the equation x=Asin(wt+o)
 
good .. try to start from there and let us know what you will get ..
 
I am still struggling to figure out how to use the displacement formule can anybody help to further highlight were i could start with this problem/Question

many thanks
 

Similar threads

Replies
17
Views
2K
  • · Replies 5 ·
Replies
5
Views
1K
Replies
1
Views
1K
Replies
21
Views
25K
Replies
27
Views
3K
Replies
3
Views
993
  • · Replies 31 ·
2
Replies
31
Views
3K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 5 ·
Replies
5
Views
3K
Replies
9
Views
4K