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Physics - SHM Question with Solution | TestHub

PhysicsSHMOscillations and SHMMedium2 min

PhysicsMediumsingle choice

If a body in SHM has amplitude $A$ and angular frequency $ω$ , can the angular frequency be changed to $5 ω$ by changing the amplitude to $A / 5$ with no extra energy supplied? The ratio of the new energy to the old energy is:

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Answer:

Solution:

$E = \frac{1}{2} m ω^{2} A^{2}$ . New: $\frac{1}{2} m \cdot 25 ω^{2} \cdot \frac{A ^{2}}{5} = 5 E$ . The energy is five times larger, so the method cannot work without supplying energy.

Subject:PhysicsTopic:SHMSubtopic:Oscillations and SHM

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