Question
The oscillation of a body on a smooth horizontal surface is represented by the equation, X = A cos (
t)
where, X is the displacement at time t
is the frequency of the oscillation
Which one of the following graphs shows correctly the variation of a with t?
Solution
A.
Putting values in the given expression,
x = A cos (
t)
At t = 0, x =+ A
At, t = 
, x = A cos 
Again, at t = T/2, x = A cos 
= A cos 
= -A
As per the above results, only graph (i) will satisfy the above results.
