Oscillations

Related Questions

• A mass $M$ is suspended from a spring of negligible mass. The spring is pulled a little and then released so that the mass executes simple harmonic oscillations with a time period $T$. If the mass is increased by m then the time period becomes $\left( \frac{5}{4}T \right)$. The ratio of $\frac{m}{M}$ is

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• If the metal bob of a simple pendulum is replaced by a wooden bob, then its time period will

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• A simple pendulum with a bob of mass $m$ oscillates from A to C and back to A such that PB is $H$. If the acceleration due to gravity is $g$, then the velocity of the bob as it passes through B is

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• A mass $m$ is suspended from a spring of length $l$ and force constant $K$. The frequency of vibration of the mass is ${{f}_{1}}$. The spring is cut into two equal parts and the same mass is suspended from one of the parts. The new frequency of vibration of mass is ${{f}_{2}}$. Which of the following relations between the frequencies is correct

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• The displacement x (in metre) of a particle in, simple harmonic motion is related to time t (in seconds) as $x=0.01\cos \left( \pi \,t+\frac{\pi }{4} \right)$. The frequency of the motion will be

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