1.

3)The motion of a particle varies with timeaccording to the relation y- A(sin wt+cos wt)ThenA) it is an oscillatory motion but not a SHMB) it is a SHM of amplitude AC) it is a SHM of amplitude 2AD) it is a SHM of amplitude A V2

Answer»

Given y = A(sinwt +coswt)

multiply and divide with √2 on the R.H.S => y = A√2(sinwt/√2 +coswt/√2) => y = A√2 ( sin(wt +π/4) ...... ( 1/√2 = sinπ/4=cosπ/4)

so, the equation becomes

y = A√2sin(wt+π/4)

so, here the amplitude is A√2.

option D.

why you divide and multiply the equation by under root 2

because you have to add sin and cos function , to represent S.H.M in only one function..

so, √2 is multiplied and divided to convert

sinwt + coswt into sin function only.



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