3. A particle A moves in a resisting medium in a straight line such that its distance r from a lixed point ) satislies the equation d²z di? dr + qz = 0, where p and q are constants. di l'ind the condition(s) on p and q such that the motion of A is (i) simple harmonic. (ii) damped harmonic. fn the case where the motion is damped harmonic, lind (iii) the damping factor. (iv) the period of the motion.

University Physics Volume 1
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Chapter15: Oscillations
Section: Chapter Questions
Problem 19CQ: Do you think there is any harmonic motion in the physical world that is not damped harmonic motion?...
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Answer i, ii, iii, iv

3. A particle A moves in a resisting medium in a straight line such that its distance r from a lixed point
) satislies the equation
d'a
dr
+ p
+ qz = 0, where p and q are constants.
di?
di
l'ind the condition(s) on p and q such that the motion of A is
(i) simple harmonic.
(ii) damped harmonie.
In the case where the motion is damped harmonic.
lind
(iii) the damping factor.
(iv) the period of the motion.
Transcribed Image Text:3. A particle A moves in a resisting medium in a straight line such that its distance r from a lixed point ) satislies the equation d'a dr + p + qz = 0, where p and q are constants. di? di l'ind the condition(s) on p and q such that the motion of A is (i) simple harmonic. (ii) damped harmonie. In the case where the motion is damped harmonic. lind (iii) the damping factor. (iv) the period of the motion.
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