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Periodic Motion

Why a simple oscillator such as spring-mass system has only allowed frequency whereas a vibrating spring has infinite number of frequency?Fig: Vibrating springs with certain number of elements

In the block-spring system, the inertia is concentrated in a single element of the system which is the block, but in the string the inertia is distributed throughout the system. Similarly, the elasticity of the block-spring system is lumped in one element ( spring) but in the vibrating spring it is distributed throughout the system. Although there is only one way for the block-spring system to store kinetic and potential energy, the vibrating spring has an infinite number of ways to store its...

Why Critical damping is often the goal of Mechanical engineers in designing systems?Fig: A Damped Oscillation

From figure it can be noted that amplitude decreases exponentially which is the case for a damped oscillation,

A undamped oscillation isn't acted by any opposing force meaning it oscillates indefinitely.

But a damped oscillation is acted by another opposing force of damping constant b which is what we see in our daily life.

where,tau is damping time constant that is the time taken to decrease exponentially by 1/e of its initial value and

Since, the mechanical engineers doesn't want unwanted and...

Uncertainty- the basis of Quantum Physics

The word 'Uncertainty', makes us think about any experiment of Physics in the lab and refer to it as a human error, instruments' precision, and other fancy random errors. But when we go at the quan...

Class Twelve

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