Spring Mass System: Calculating Frequency, Acceleration, and Velocity

In summary, the conversation discusses a problem involving a mass attached to a vertical spring and its subsequent vibrations. The displacement of the mass from the equilibrium position is measured to be 19.2mm at 0.05s. The questions ask to calculate the expected frequency of vibration, maximum acceleration and maximum velocity of the mass. The displacement formula x=Asin(wt+o) is suggested as a starting point for solving the problem.
  • #1
d.r
3
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
  • #2
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 ..
 
  • #3
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)
 
  • #4
good .. try to start from there and let us know what you will get ..
 
  • #5
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
 

1. What is a spring mass system?

A spring mass system is a physical system that consists of a mass attached to a spring, which is fixed to a support. The mass can move back and forth due to the force of the spring, creating simple harmonic motion.

2. What is the equation for the motion of a spring mass system?

The equation for the motion of a spring mass system is given by F = -kx, where F is the force exerted by the spring, k is the spring constant, and x is the displacement of the mass from its equilibrium position.

3. How do you calculate the period of a spring mass system?

The period of a spring mass system can be calculated using the equation T = 2π√(m/k), where T is the period, m is the mass, and k is the spring constant. This equation is derived from the equation for simple harmonic motion.

4. What factors affect the frequency of a spring mass system?

The frequency of a spring mass system is affected by the mass of the object, the spring constant, and the amplitude of motion. The frequency increases as the mass decreases, the spring constant increases, or the amplitude increases.

5. How do you solve problems involving spring mass systems?

To solve problems involving spring mass systems, you need to use the equations for motion and energy of the system. You can also use Newton's laws of motion and the concept of conservation of energy. It is important to correctly set up and label all variables and equations to find the desired solution.

Similar threads

  • Introductory Physics Homework Help
Replies
31
Views
1K
  • Introductory Physics Homework Help
Replies
27
Views
2K
  • Introductory Physics Homework Help
Replies
3
Views
1K
  • Introductory Physics Homework Help
Replies
17
Views
380
  • Introductory Physics Homework Help
Replies
5
Views
2K
  • Introductory Physics Homework Help
Replies
9
Views
2K
  • Introductory Physics Homework Help
Replies
5
Views
4K
  • Introductory Physics Homework Help
Replies
2
Views
710
  • Introductory Physics Homework Help
2
Replies
53
Views
4K
  • Introductory Physics Homework Help
Replies
14
Views
1K
Back
Top