1.

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 a with t ?

Answer»




Solution :We can FIND the correct graph by putting different values of t in the given expression, `x = A COS (omega t)rArr "at t"= 0, x = + A`
and `t = (T)/(4),x = A cos ((2pi)/(T)XX(T)/(4))=A cos (pi//2)=0`
Again `t = (T)/(2),x = A cos ((2pi)/(T)xx(T)/(2))=A cos pi =- A`
We can see that, only graph (i) will SATISFY the above results


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