The amplitude of a damped oscillator of mass ′m′ varies with the time 't' as A=A0e−at/m. The dimension of ′a′ are:
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Q2
In damped oscillations, the log of amplitude varies with respect to time _____.
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Q3
In a damped oscillator with m = 500 g, k = 100 N/m, and b = 75 g/s, the ratio of the amplitude of the damped oscillations to the initial amplitude at the end of 20 cycles is given as e−x. Find x.
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Q4
A force F is given by F=at + bt2 , where t is time. What are the dimensions of a and b
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Q5
In damped oscillations, damping force is directly proportional to the speed of the oscillator. If amplitude becomes half of its initial value in 1s, then after 2 s, amplitude will be: [A0 is initial amplitude]