Question

Two simple harmonic motions of angular frequency 100 and 1000 rad s^-1 have the same displacement amplitude. The ratio of their maximum acceleration is

1:10

1:10²

1:10³

1:10

Solution

1:10²

Acceleration of simple harmonic motion is
$straight a subscript max space equals space minus straight omega squared straight A or fraction numerator left parenthesis straight a subscript max right parenthesis subscript 1 over denominator left parenthesis straight a subscript max right parenthesis subscript 2 end fraction space equals space fraction numerator straight omega subscript 1 superscript 2 space over denominator straight omega subscript 2 superscript 2 end fraction left parenthesis as space straight A space remains space same right parenthesis or fraction numerator left parenthesis straight a subscript max right parenthesis over denominator left parenthesis straight a subscript max right parenthesis end fraction space equals space fraction numerator left parenthesis 100 right parenthesis squared over denominator left parenthesis 1000 right parenthesis squared end fraction space equals open parentheses 1 over 10 close parentheses squared space equals space 1 colon 10 squared$

Some More Questions From Mechanical Properties of Fluids Chapter

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Mechanical Properties Of Fluids

Two simple harmonic motions of angular frequency 100 and 1000 rad s^-1 have the same displacement amplitude. The ratio of their maximum acceleration is

1:10

1:10²

1:10³

1:10

Some More Questions From Mechanical Properties of Fluids Chapter

What determines the natural frequency of an oscillator?

Is there any relation between uniform circular motion and simple harmonic motion?

What is periodic motion?

Write down the expression for the instantaneous velocity and acceleration of particle vibrating in simple harmonic motion.

How do you define the mean position of particle executing simple harmonic motion?

Define amplitude.

What is the net displacement of the particle executing simple harmonic motion in one complete oscillation?

Are all the periodic motions simple harmonic?

Does the time period of particle vibrating in simple harmonic motion depend upon its displacement?

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For Daily Free Study Material Join wiredfaculty

Mechanical Properties Of Fluids

Two simple harmonic motions of angular frequency 100 and 1000 rad s-1 have the same displacement amplitude. The ratio of their maximum acceleration is 1:10 1:102 1:103 1:10

Some More Questions From Mechanical Properties of Fluids Chapter

What determines the natural frequency of an oscillator?

Is there any relation between uniform circular motion and simple harmonic motion?

What is periodic motion?

Write down the expression for the instantaneous velocity and acceleration of particle vibrating in simple harmonic motion.

How do you define the mean position of particle executing simple harmonic motion?

Define amplitude.

What is the net displacement of the particle executing simple harmonic motion in one complete oscillation?

Are all the periodic motions simple harmonic?

Does the time period of particle vibrating in simple harmonic motion depend upon its displacement?

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

Two simple harmonic motions of angular frequency 100 and 1000 rad s^-1 have the same displacement amplitude. The ratio of their maximum acceleration is

1:10

1:10²

1:10³

1:10