+1 vote
in Machine Kinematics by (38.0k points)
Two concentric springs with stiffness equal to 100 N/mm and 80 N/mm respectively, when subjected to a load of 900 N will deflect by

(a) 9 mm

(b) 11.25 mm

(c) 5 mm

(d) 31.5 mm

The question was asked by my school teacher while I was bunking the class.

Question is from Closely-coiled Helical Spring and Compound Pendulum in chapter Simple Harmonic Motion of Machine Kinematics

1 Answer

0 votes
by (106k points)
Correct answer is (c) 5 mm

The explanation is: In this case, total stiffness Kt is given by,

1/Kt = K1 + K2

                = 100+ 80 = 180N/mm

Therefore, deflection = Force/stiffness

                      = 900N/180N/mm

                      = 5 mm.

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