Series and parallel combination of spring related numerical
Answers
Hi mate here is two questions related to given topic..
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1. )A 160-gram object attaches at one end of a spring and the change in length of the spring is 4 cm. What is the change in length of three springs connected in series and parallel, as shown in the figure ...
Ans=6cm
2.)2. Three springs with the same constant connected in series and parallel, and a 2-kg object attached at one end of a spring, as shown in figure below. Spring constant is k1 = k2 = k3 = 300 N/m. What is the change in length of the three springs. Acceleration due to gravity is g = 10 m.s-2.
Ans 20newton
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Hope this will help you
In series combination of springs force is same
Consider two springs joined in series,
For spring 1,spring constant =k1,elongation =e1
Similarly for spring 2,k2&e2.
Total elongation,
e=e1+e2
F/ks = F/k1 +F/k2
1/ks =1/k1 +1/k2
Where Ks= equalent spring constant in series
In parallel combination elongation is same.
Consider two springs with spring constants k1&k2,force acting on each spring F1&F2
Total force acting F=F1 + F2
Kp*e = k1*e + k2*e
Kp= k1 + k2
Where kp = equalent spring constant in parallel