(a)  On what factors, does the energy of simple harmonically vibrating particle depend?

(b)  A spring of force constant k is broken into n equal parts (n>0). What will be the spring factor of each part?

Asked by Topperlearning User | 18th May, 2015, 02:57: PM

Expert Answer:

(a)  Mass, frequency and amplitude.  In fact, the energy (E)  of a simple harmonically vibrating particle is related to the above parameters as:

begin mathsize 12px style left parenthesis straight i right parenthesis space straight E proportional to straight m
left parenthesis ii right parenthesis space straight E proportional to straight n squared
left parenthesis iii right parenthesis space straight E proportional to straight A squared end style

(b) The spring factor of each of the broken n parts is given as

begin mathsize 12px style 1 over straight K equals 1 over straight k plus 1 over straight k plus... plus 1 over straight k equals straight n over straight k
therefore straight k equals nK end style

Answered by  | 18th May, 2015, 04:57: PM