First slide

Simple hormonic motion

Question

The maximum acceleration of a particle executing simple harmonic motion is ‘ $α$ ’ and the maximum velocity is ‘ $β$ . The frequency of the SHM is given by the expression

Easy

A

$2 π α β$
B

$\frac{α β}{2 π}$
C

$\frac{2 π β}{α}$
D

$\frac{α}{2 π β}$

Solution

$m a x i m u m a c c e l e r a t i o n α = ω^{2} A - - - - (1) m a x i m u m v e l o c i t y β = A ω - - - - - - (2) d i v i d i n g (1) b y (2) ω = \frac{α}{β} f r e q u e n c y n = \frac{ω}{2 π} = \frac{α}{2 π β}$

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