Question

what is the amplitude of a simple harmonic oscillation which has maximum velocity beta and maximum acceleration alpha?​

Answer 1

Explanation:

For SHM, maximum acceleration, a

max

=ω

2

a=α where a is the amplitude of SHM.

and maximum velocity, v

max

=ωa=β

so,

β

α

=

ωa

ω

2

a

=ω

or

β

α

=

T

2π

or T=

α

2πβ

Answer 2

Explanation:

For SHM, maximum acceleration, a

max

=ω

2

a=α where a is the amplitude of SHM.

and maximum velocity, v

max

=ωa=β

so,

β

α

=

ωa

ω

2

a

=ω

or

β

α

=

T

2π

or T=

α

2πβ

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