14%20%20-%20%20Oscillations

# 14%20%20-%20%20Oscillations - 14 OSCILLATIONS Page 1 1 An...

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14 - OSCILLATIONS Page 1 1 ) An oscillator having a mass of 0.2 kg is executing simple harmonic oscillations. After 100 oscillations the amplitude becomes 1 / 7 th of the original value. Find damping coefficient of this motion, if its periodic time is 2 seconds. [ March, 2003 ] ( Ans: 3.89 dyne-sec / cm ) 2 ) An oscillator having a mass of 100 gm is executing damped oscillations. After 1500 oscillations, the amplitude reduces to half of its original value. Find the damping coefficient if its time period is 2.22 seconds. [ March, 2001 ] ( Ans: 0.042 dyne-sec / cm ) 3 ) For damped oscillations, find the time for decrease of the amplitude to A / 32. Mass of oscillator = 200 gm and resistive force coefficient = 0.1 dyne-sec / cm [ March, 2001 ] ( Ans: 3.85 hour ) 4 ) In a simple harmonic motion, the velocities of a particle are 10 cm / s and 24 cm / s when its displacements are 12 cm and 5 cm respectively. Calculate its periodic time and amplitude. [ October, 1998 ] ( Ans: 3.14 sec, 13 cm ) 5 ) Find the resistive force on a body when its velocity is 7200 km/hr in a medium of damping constant 10 3 N-s / m. [ March, 1998 ] ( Ans: 2 N ) 6 ) A body of mass ‘m’ is suspended at the end of a spring. The periodic time of the body is 4 seconds. If the mass is increased by 4 kg, the increase in periodic time is found to be 2 seconds. Calculate the mass ‘m’. [ October, 1997; October, 1991 ] ( Ans: 3.2 kg ) 7 ) Angular frequency of S. H. oscillator is 2 rad / s. Initial displacement is 5 cm and initial velocity is 10 cm / s. Give equation for this S. H. M. [ March, 1997 ] 2t ( sin 2 5 : [ Ans + π / 4 ) cm ] 8 ) Find frequency of necessary external oscillating force to produce resonance in the seconds pendulum. [ March, 1996 ] ( Ans: 0.5 Hz ) 9 ) For a S. H. O., mass, length of path of oscillation, frequency and initial phase are 0.5 kg, 10 cm, 60 oscillations / minute and

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14%20%20-%20%20Oscillations - 14 OSCILLATIONS Page 1 1 An...

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