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  1. A moving particle of mass m has noe dimensional potential energy U(x)=a*x^2   +   b*x^2, where a and b are poisitve constants.The angular frequency of small oscillations about minima of the potential energy is equal to:

Asked by saraswatmajumder 16th March 2018, 12:27 AM
Answered by Expert
Answer:
Potential energy U(x) = (a+b)×x2 = (1/2)×k×x2
 
k = 2(a+b) = ω2×m ; 
hence angular frequency begin mathsize 12px style omega space equals space square root of fraction numerator 2 open parentheses a plus b close parentheses over denominator m end fraction end root end style
Answered by Expert 16th March 2018, 12:51 PM
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