SHM is a kind of periodic motion. We can say that all SHM's are periodic but all periodic motion are not SHM. Conditions for SHM: The acceleration of the body or the particle should be proportional to the negative of displacement. The total Mechanical Energy of the system remains conserved. There must be a state of stable equilibrium. Equation of SHM Consider a particle revolving around a circular path of radius ''a''. with a constant angular velocity ω. Let at time t=0, the particle is at the position A then the projection of the particle will be at the point B on the y-axis. So when the particle comes at the top the projection also comes at the top. Hence we can see that the particle is doing periodic motion but the projection is doing SHM. Hence the time period of the SHM is same as the time period of the circular particle. The derivation of the actual equation of the SHM is a bit complex and it is difficult for me to show it here so...
This blog is an attempt for helping the people who want to learn some topics of Physics, Chemistry and Maths. The posts are mostly for the class 11 and 12 students aspiring for JEE or NEET. You can search your desired topic in search section or open the sidebar and select the desired lable of subject you want to read. Thanks for Coming!
Comments
Post a Comment