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1. Homework Statement final charge on 3 microF be q1, on 2 microF be q2 and on 1.5 microF be q3 Intial charge on 3 microF is 360 microC and intial charge on 2 microC is 300 microF Homework Equations how the charge conservation takes place at the three junctions in the circuit The Attempt...

the net force is F = -(kx + mg) can you call it as F ∝ -x?

For a Simple Harmonic Oscillator... the net force is the restoring force which is F ∝ -x. But in the above scenario, the net restoring force is the combination of Gravity and Spring Force and thus not directly proportional to displacement... So would it be called a Simple Harmonic Oscillator...

In an SHM, the only force that should be acting, that is the net force should be the restoring force F, by definition... F = -kx For example there is a massless spring of spring constant k attached to the ceiling and there is a body of mass m hung at it and avoiding all kinds of friction...

I am searching for the factors on which spring constant depends...

I found the equation here... https://www.physicsforums.com/threads/factors-affecting-the-spring-constant.165802/

How does one arrive at the following equation to approximate spring constant for solids... using Hooke's Law F ∝-x ⇒ F = -kx and strain∝stress ? k = (m/a2) × (K/ρ)½ where k≡spring constant m ≡ mass of a single atom a ≡ atomic spacing K ≡ bulk modulus ρ ≡ density

Yes that is what I referred to...

No actually I am only referring to an undamped unforced spring. The question is how can ω be defined for a spring when there is no circular motion involved? And so can we write (k/m) = ω2 for all SHM's or only some specific ones? Like for SHM in spring what would ω refer to in lay man's...

In Simple Harmonic Motion, can (k/m) = ω2 be expressed for all SHMs or only the ones in which the mass due to which the SHM is being executed is performing a circular motion? Since for example, in the case of spring, there is no circular motion involved, so omega should not be defined for...

Hello everyone, I am excited to interact all kind of physics problem with u . Be it mechanics or thermodynamics or optics or electricity and magnetism or modern physics. I am physics teacher teaching physics in coaching institute to students aspiring for admission in engineering or medical...