Shm Q (1 Viewer)

[BigBear_25]

Quick SHM Question

A particle moving in SHM has a displacement given by

X= 3 cos 2t + 4 sin 2t

where x is in metres and t is in seconds

Find the maximum speed.

 

[Trev]

Hint - Use the transformation formula:
X=5cos(2t-{tan^-1(4/3)})
[as acos(y)+bsin(y) = sqrt(a²+b²).cos(y-p) where tan(p)=b/a].