Simple Harmonic Motion of an ideal spring

Click For Summary
SUMMARY

The discussion focuses on the analysis of Simple Harmonic Motion (SHM) of an ideal spring with a spring constant of k = 29 N/m and a mass of 1.4 kg. The key equations used include the formula for maximum acceleration, a_{m} = (k/m)A, where A represents the maximum extension. The participants emphasize the necessity of understanding the forces acting on the mass to determine the net force at maximum extension, which is crucial for calculating both the maximum acceleration and extension of the spring.

PREREQUISITES
  • Understanding of Simple Harmonic Motion (SHM)
  • Familiarity with Hooke's Law and spring constants
  • Basic knowledge of Newton's laws of motion
  • Ability to manipulate equations involving mass, force, and acceleration
NEXT STEPS
  • Calculate maximum acceleration using a_{m} = (k/m)A
  • Determine the maximum extension of the spring based on the forces acting on the mass
  • Explore the relationship between mass, spring constant, and oscillation frequency
  • Study energy conservation in the context of SHM for ideal springs
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and oscillatory motion, as well as educators seeking to explain the principles of Simple Harmonic Motion in practical scenarios.

Jtappan
Messages
95
Reaction score
0

Homework Statement



An ideal spring has a spring constant k = 29 N/m. The spring is suspended vertically. A 1.4 kg body is attached to the unstretched spring and released. It then performs oscillations.
(a) What is the magnitude of the acceleration of the body when the extension of the spring is a maximum?
____ m/s2
(b) What is the maximum extension of the spring?
____ m

Homework Equations



a[tex]_{m}[/tex]=[tex]\frac{k}{m}[/tex]A

The Attempt at a Solution



I don't know how to start this problem. Any help?
 
Physics news on Phys.org
What are the forces acting on the mass. To work out what the acceleration is you need to find the net force at the maximum extension.
 

Similar threads

  • · Replies 5 ·
Replies
5
Views
1K
Replies
16
Views
2K
Replies
7
Views
1K
  • · Replies 11 ·
Replies
11
Views
2K
Replies
13
Views
4K
Replies
17
Views
2K
  • · Replies 11 ·
Replies
11
Views
3K
Replies
2
Views
7K
  • · Replies 4 ·
Replies
4
Views
4K
  • · Replies 2 ·
Replies
2
Views
2K