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rajan jha Grade: 12
        

Two shm are given by Y1 =40sinwt and Y2=10(sinwt+c.coswt). If their  displacement are equal , then the value of c is 

6 years ago

Answers : (1)

vikas askiitian expert
510 Points
										

Y2 = 10(sinwt + c.coswt)


 divide & multiply by (1+c2)1/2


 Y2 =10(1+c2)1/2 [ sinwt(1/1+c2)1/2 + (c2/1+c2)1/2coswt ]


now put (1/1+c2)1/2 = cos@ then


            (c2/1+c2)1/2 = sin@


now Y2 becomes


Y2 = 10(1+c2)1/2 [ sinwtcos@ + coswtsin@]


Y2 = 10(1+c2)1/2[sin(wt+@)]


Y1 = 40sinwt


for same displacement , amplitude must be same so


 40 = 10(1+c2)1/2


  c = 151/2

6 years ago
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