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

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vikas askiitian expert · Answer

Y 2 = 10(sinwt + c.coswt) divide & multiply by (1+c 2 ) 1/2 Y 2 =10(1+c 2 ) 1/2 [ sinwt(1/1+c 2 ) 1/2 + (c 2 /1+c 2 ) 1/2 coswt ] now put (1/1+c 2 ) 1/2 = cos@ then (c 2 /1+c 2 ) 1/2 = sin@ now Y 2 becomes Y 2 = 10(1+c 2 ) 1/2 [ sinwtcos@ + coswtsin@] Y 2 = 10(1+c 2 ) 1/2 [sin(wt+@)] Y 1 = 40sinwt for same displacement , amplitude must be same so 40 = 10(1+c 2 ) 1/2 c = 15 1/2

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

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

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