A certain simple harmonic vibrator of mass 0.1 kg has a total energy o

1.	A certain simple harmonic vibrator of mass 0.1 kg has a total energy of 101. its displacement from the man position is 1 cm when it has equal kinetic and potential energies. the amplitude and frequency of vibration of the vibrator are.
Answer» For any SHM KE when particle is at X from mean position = 1/2 mw²(A²-x²) and Potential energy = 1/2 mw²x² ^{KE=PE when X= A/√2 =0.707 A} ^{A= amplitude} ^{At X=1 cm KE and PE are equal mean} ^{A= X.√2= 1.414 cm} Total energy E=1/2mw²A² W²= 2E/(mA²)=2×101/0.1x0.01m) W²= 202000 W= 449.3 /s ^w ^W ^w

A certain simple harmonic vibrator of mass 0.1 kg has a total energy of 101. its displacement from the man position is 1 cm when it has equal kinetic and potential energies. the amplitude and frequency of vibration of the vibrator are.

Answer»

For any SHM

KE when particle is at X from mean position = 1/2 mw²(A²-x²) and

Potential energy = 1/2 mw²x²

^{KE=PE when X= A/√2 =0.707 A}

^{A= amplitude}

^{At X=1 cm KE and PE are equal mean}

^{A= X.√2= 1.414 cm}

Total energy E=1/2mw²A²

W²= 2E/(mA²)=2×101/0.1x0.01m)

W²= 202000

W= 449.3 /s

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A certain simple harmonic vibrator of mass 0.1 kg has a total energy of 101. its displacement from the man position is 1 cm when it has equal kinetic and potential energies. the amplitude and frequency of vibration of the vibrator are.

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