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Compute the time period for the following system if the block of mass m is slightly displaced vertically down from its equilibrium position and then released. - Physics

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प्रश्न

Compute the time period for the following system if the block of mass m is slightly displaced vertically down from its equilibrium position and then released. Assume that the pulley is light and smooth, strings and springs are light.

संख्यात्मक

उत्तर

Case (a): Pulley is fixed rigidly here. When the mass displace by y and the spring will also stretch by y.

Therefore, F = T = ky

T = `2π sqrt("m"/"k")`

Case (b): Mass displace by y, pulley also displaces by y.

T = 4ky

T = `2π sqrt("m"/(4"k"))`

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Linear Simple Harmonic Oscillator
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 10: Oscillations - Evaluation [पृष्ठ २२१]

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सामाचीर कलवी Physics - Volume 1 and 2 [English] Class 11 TN Board
अध्याय 10 Oscillations
Evaluation | Q IV. 6. | पृष्ठ २२१
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