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Grade 12Mechanics

Q:-The displacement of two identical particles executing SHM are represented by equations x1=4sin(10t+(π/6)) and x2=5cos(ωt) . For what value of ω energy of both the particles is same ?

A. 16 units

B. 6 units

C. 4 units

D. 8 units

Profile image of Tapasranjan Das
16 Years agoGrade 12
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1 Answer

Profile image of Badiuddin askIITians.ismu Expert
16 Years ago

Dear Tapasranjan Das

total energy os particle executing SHM is = 1/2 mw2A2

 for 1 st perticle  E1 = 1/2 m (10)2(4)2

 for 2nd  perticle  E2 = 1/2 m (w)2(5)2 

 E1 =E2

 so w = 10*4/5

          =8 

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