Class 12 Maharashtra State Board

Potential energy of a particle performing linear S.H.M is 0.1 π² x² joule. If mass of the particle is 20 g, find the frequency of S.H.M.

by Manoj Jaiswar ( PMJ Sir ) May 14, 2023

The data available in the sums is,

$https://latex.codecogs.com/svg.image?P.E = 0.1 \pi ^{2}x^{2}$ Joule

mass m = 20g = 0.020kg

To find , Frequency n=?

Solution -

$https://latex.codecogs.com/svg.image?P.E = \frac{1}{2}kx^{2} = \frac{1}{2} m\omega ^{2}x^{2}$

$https://latex.codecogs.com/svg.image?0.1\pi ^{2}x^{2} =\frac{1}{2} m\omega ^{2}x^{2}$

$https://latex.codecogs.com/svg.image?0.2\pi ^{2} = m\omega ^{2}$

$https://latex.codecogs.com/svg.image?0.2\pi ^{2} = m(2\pi n)^{2} = 4m\pi ^{2}n^{2}$

$https://latex.codecogs.com/svg.image?0.2 =4 x 0.020 x n^{2} = 0.08n^{2}$

$https://latex.codecogs.com/svg.image?2.5 = n^{2}$

$https://latex.codecogs.com/svg.image?n = \sqrt{2.5} = 1.581 Hz$

Potential energy of a particle performing linear S.H.M is 0.1 π² x² joule. If mass of the particle is 20 g, find the frequency of S.H.M.

Posted by Manoj Jaiswar ( PMJ Sir )

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Potential energy of a particle performing linear S.H.M is 0.1 π² x² joule. If mass of the particle is 20 g, find the frequency of S.H.M.

Posted by Manoj Jaiswar ( PMJ Sir )

You may like these posts

Total Pageviews

Popular Posts

The mass of the earth is 6 x 10²⁴ kg. The distance between the earth and the Sun is 1.5x 10¹¹ m. If the gravitational force between the two is 3.5 x 10²² N, what is the mass of the Sun?

Heat energy is being produced in a resistance in a circuit at the rate of 100 W. The current of 3 A is flowing in the circuit. What must be the value of the resistance?

A light bulb is rated 100W for 220 V AC supply of 50 Hz. Calculate (a) resistance of the bulb. (b) the rms current through the bulb.

Search This Blog

Blog Archive

Social Plugin

Tags

Labels