P16_014.PDF

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Chapter 16 - 16.14
14. (a) For a total mass of m + M , Eq. 16-12 becomes
ω = k
m + M
⇒
M =
k
ω 2 −
m.
Eq. 16-5 ( ω =2 π/T ) is used to put this into its final form:
M =
k
(2 π/T ) 2 −
m = k
4 π 2
T 2
−
m.
(b) With T =0 . 90149 s, k = 605 . 6 N/m and M = 0 inthe above expression, we obtain m =12 . 47 kg.
(c) With the same k and m ,weplug T =2 . 08832 s into the expression and obtain M =54 . 43 kg.
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