According to the given problem,
Given,
spring constant k = 14N/m
amplitude A = 7.0 cm = 0.07 m
frequency f = number of
oscillations/time
                Â
= 29 / 25 s
                Â
= 1.16 Hz
angular speed ω = 2πf
                         =
(2)(3.14)(1.16 Hz)
                         =
7.2885 rad/s
a)Using the angular spee relation of
spring-mass system ,
ω = √(k/m) Â
mass m =
k/ω2  Â
m = (14 N/m) / (7.3
rad/s)2
m = 0.264 kg
b)Maximum velocity vmax =
Aω
                                  Â
= (0.07 m)(7.3 rad/s)
                                    =
0.51 m/s
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