Question

Plz help me......
derive an expression for resultant amplitude of composition of SHM.​

Answer 1

Let us consider a particle acted upon by two s.h.m. Their equations are given by –

gif (44)

eqn.i

gif (15)

eqn.ii

where, a,b=amplitude

gif (46)

gif (47)

from equation (ii)

gif

from equation (i)

gif (1)

gif (2)

squaring both side,

eqn.ii