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    				| 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. | |