How Does Simple Harmonic Motion Affect Velocity and Energy in a Spring System?

Thread starter mattmannmf
Start date Apr 15, 2009
Tags

Graph Oscillator

AI Thread Summary

In a simple harmonic motion scenario involving a 2.6 kg block attached to a spring, the maximum velocity can be determined using the amplitude and the angular frequency derived from the sinusoidal wave properties. The mechanical energy of the system is calculated by considering both kinetic and potential energy at maximum displacement. The wave crosses the x-axis at specified intervals, indicating periodic motion, with an amplitude of 2 cm affecting the energy calculations. Analyzing the graph's characteristics is crucial for accurately determining these values. Understanding these principles is essential for grasping the dynamics of spring systems in simple harmonic motion.

Apr 15, 2009

mattmannmf

A 2.6 kg block is attached to a horizontal spring and undergoes simple harmonic motion on a frictionless surface according to the graph shown above.

(a) What is maximum velocity of the box?

(b) What is the mechanical energy of the box?

now the wave is -sin wave but crosses the x-axis at 4,8,12,16,20,24 and has an amplitude of 2 cm

Physics news on Phys.org

Apr 15, 2009

LowlyPion

Homework Helper

What are your thoughts on how to approach it?

Thread 'I've come across another fluid pressure problem I don't understand'

Neglect gravity other than that of water; neglect friction. F1=ρgsh=1000*10*1*(1+4)=50000 N; F1=ρgsh=1000*10*0.1*4=4000 N; F3=50000-4000=46000 N?

View full post »

Thread 'Struggling to understand the concept of this question (ice cube in water optics question)'

TL;DR Summary: I came across this question from a Sri Lankan A-level textbook. Question - An ice cube with a length of 10 cm is immersed in water at 0 °C. An observer observes the ice cube from the water, and it seems to be 7.75 cm long. If the refractive index of water is 4/3, find the height of the ice cube immersed in the water. I could not understand how the apparent height of the ice cube in the water depends on the height of the ice cube immersed in the water. Does anyone have an...

View full post »

Thread 'Rolling without slipping on a curved surface'

Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .

View full post »