Asked by japhite
a helical spring fixed by the upper end carries a load of 5kg attached to its lower end .Mass is set into vibration and is measured to make 2 oscillation per seconds .calculate
1.the stiffness of the spring
2.the acceleration at any condition along the spring
1.the stiffness of the spring
2.the acceleration at any condition along the spring
Answers
Answered by
David George
First of all Period (T) = time/ number of oscillation
T= 1/2= 0.5s
1. Calculate the stiffness of the spring (k)
But T = 2π√m/k
0.5= 6.284√5/k
0.5/6.284=√5/k
(0.0795)²= (√5/k)²
0.006320= 5/k
K= 5/0.06320
K= 791.1N/m
2. acceleration (a) =Force/mass
a= 50/5= 10m/s²
T= 1/2= 0.5s
1. Calculate the stiffness of the spring (k)
But T = 2π√m/k
0.5= 6.284√5/k
0.5/6.284=√5/k
(0.0795)²= (√5/k)²
0.006320= 5/k
K= 5/0.06320
K= 791.1N/m
2. acceleration (a) =Force/mass
a= 50/5= 10m/s²
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.