Physics

# If $'m$' is the mass of a body, $'a'$ is amplitude of vibration, and $'w '$ is the angular frequency then  $\frac { 1 }{ 2 } { ma }^{ 2 }{ w }^{ 2 }$ has same dimensional formula as :

all the above

##### SOLUTION
Dimension of $\dfrac{1}{2}ma^{2}w^{2}=ML^{2}\left ( \dfrac{1}{T^{2}} \right )=ML^{2}T^{-2}$
Work$=F.d\left ( force\times distance \right )=\left ( \dfrac{ML}{T^{2}} \right )\times L=ML^{2}T^{-2}$
Moment of force $=\underset{f}{\rightarrow}\times \underset{r}{\rightarrow}=\left [ \dfrac{ML}{T^{2}} \right ]\times L=ML^{2}T^{-2}$
Energy = work = $ML^{2}T^{-2}$

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Single Correct Medium Published on 18th 08, 2020
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