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Give answer! - Oscillations and Waves - NEET

The oscillation of a body on a smooth horizontal surface is represented by the equation, 

X = A cos (\omega t)

where, X = displacement at time t

 \omega = frequency of oscillation

Which one of the following graphs shows correctly the variation of 'a' with 't'?

  • Option 1)

  • Option 2)

  • Option 3)

  • Option 4)

 
Answers (1)
113 Views

As discussed

Composition of two SHM in perpendicular direction -

x=A_{1}sin omega t

y=A_{2}sin left ( omega t+delta 
ight )

 

 

- wherein

Resultant equation

frac{x^{2}}{A{_{1}}^{2}}+frac{y{_{2}}^{2}}{A{_{2}}^{2}}-frac{2xycos delta }{A_{1}A_{2}}= sin ^{2}delta

 

 a=A coswt

v=-AwSinwt

a=\frac{dv}{dt} = -Awd\frac{\left | Sincot \right |}{dt} = -Aw^{2}coscot

\therefore i.e the variation of a with and correctly shown by graph (3)


Option 1)

This option is incorrect 

Option 2)

This option is incorrect 

Option 3)

This option is correct 

Option 4)

This option is incorrect 

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