AP EAMCET · PHYSICS · Oscillations
A particle of mass \(m\) is under an influence of a force \(\mathbf{F}=\left(-k \mathbf{x}+\mathbf{F}_0\right) \mathrm{N}\). The particle when disturbed will oscillate
- A about \(x=0\) with \(\omega=\sqrt{\frac{k}{m}}\)
- B about \(x=0\) with \(\omega=\sqrt{\frac{m}{k}}\)
- C about \(x=\frac{F_0}{k}\) with \(\omega=\sqrt{\frac{k}{m}}\)
- D about \(x=\frac{F_0}{k}\) with \(\omega \neq \sqrt{\frac{k}{m}}\)
Answer & Solution
Correct Answer
(C) about \(x=\frac{F_0}{k}\) with \(\omega=\sqrt{\frac{k}{m}}\)
Step-by-step Solution
Detailed explanation
Given that, Mass of particle \(=m\) Restoring force, \(\mathbf{F}=\left(-k \mathbf{x}+\mathbf{F}_0\right) \mathrm{N}\) \(\begin{aligned} & =-k\left(x-\frac{\mathbf{F}_0}{k}\right) \\ & =-k y \quad\left[\text { Take, } x-\frac{\mathbf{F}_0}{k}=y\right]\end{aligned}\) Which is…
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