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COE in SHM

Dimensional f...

Question

Dimensional formula for amplitude of vibration

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Solution

Since it's a distance. Dimensional formula will be [L].

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Similar questions

Q. The dimensional formula for amplitude of SHM is

^{'} m

' is the mass of a body,

^{'} a^{'}

is amplitude of vibration, and

^{'} w^{'}

is the angular frequency then

\frac{1}{2} {m a}^{2} w^{2}

has same dimensional formula as :

Q. The frequency (n) of vibration of a string is given as

n = \frac{1}{2 l} \sqrt{\frac{T}{m}}

, where T is tension and l is the length of vibrating string. Then, the dimensional formula for m is

Q. The frequency of vibration of string is given by

v = \frac{p}{2 l} {[\frac{F}{m}]}^{1 / 2}

p

is number of segments in the string and

l

is the length. The dimensional formula for

m

Q. The frequency of vibration of a string is given by

f = \frac{n}{2 L} \sqrt{\frac{T}{m}}

T

is tension in the string,

L

n

is number of harmonics. The dimensional formula for

m

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