Answer:
3331.5 kg
Explanation:
given
spring constant of the spring(k)=24200N/m
frequency of oscillation (f)=0.429 hz
let the mass be m kg
now we know that a spring mass system undergoes simple hormonic motion the frequency of the oscillation of SHM is given as
f=1/2 π√ k/m
rewrite the above equation interms of m this gives
2πf=√k/m
squaring both side we get
(2πf)²=k/m
m=k/4π²f²
now putting the given values
m = 24200/4*(3.14)²(0.429)²
m=3331.5
therefore the mass of the truck is 3331.5kg
