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The amplitude of a SHM is halved. How do...

The amplitude of a SHM is halved. How does this affect Maximum velocity?

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Maximum velocity `(v_(rms))= omegaA`. If amplitude is halfed then maximum velocity is also halfed.
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The amplitude of a SHM is halved. How does this affect Maximum acceleration.

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Knowledge Check

  • Which of the following does not affect the velocity of sound?

    A
    mass of the gas
    B
    density of the gas
    C
    temperature of the gas
    D
    pressure of the gas

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    Hence particle executing linear SHM has a maximum velocity of 40 cm s^(-1) and a maximum acceleration of 50 cm s^(-1) . Find is amplitude and the period of oscillaton. Maximum velocity, v_(max)= omega A=40 cm s^(-1) Maximum accleration a_(max)= omega^(2)A=50 cm s^(-1) :. (a_(max))/(v_(max))=(omega^(2)A)/(omegaA)=(50)/(40) (or) omega=(5)/(4) rad s^(-1) Amplitue =A=(v_(max))/(omega)=(40xx4)(/(5)=32 cm Period of oscillation, T=(2pi)/(omega)=(2xx3.142xx4)/(5)=5.03s

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