Answer
4.16kg mass should be added
Explanation:
Step one :
Given
Extention e=0.0173m
Suspended Mass m=2.62kg
Frequency f=3hz
But F=ma
F=2.62*9.81
F=25.6N
Step two
Applying the hooks law equation
F=ke
Where k is the spring constant
k=F/e
k=25.6/0.0173
k=1480N/m
Step three
To solve for the additional mass that causes a frequency of vibration of 3hz
m=k/4*pi²*f²
Substituting our values into the equation we have
m=1480/4*3.142²*3²
m=1480/355.4
m=4.16kg
