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Answer» Comparision of simple harmonic motion and angular harmonic motion | S. No. | Simple Harmonic motion | Angular Harmonic motion | | 1. | The displacement of the particle is measured in terms of linear displacement \(\vec r\). | The displacement of the particle is measured in terms of angular displacement \(\vec θ\) (also known as angle of twist). | | 2. | Acceleration of the particle is \(\vec a = -ω ^2\vec r\) | Angular acceleration of the particle is \(\vec a\) = -\(-ω^2 \vec θ\) | | 3. | Force, \(\vec F\) = m\(\vec a\), where m is called mass of the particle. | Torque \(\vec{\tau}\)= I \(\vec a\),Where I is called moment of inertia of a body. | | 4. | The restoring force \(\vec F\) = -k\(\vec r\), where k is restoring force constant. | The restoring torque \(\vec {\tau}\) = -k\(\vec θ\) Where the symbol κ(Greek alphabet is pronounced as 'kappa') is called restoring torsion constant. it depends on the property of a partucular torsion fiber. | | 5. | Angular frequency, ω = \(\sqrt{\frac{k}{m}}\) rad s-1 | Angular frequency, ω = \(\sqrt{\frac{k}{I}}\) rad s-1 |
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