### 08 Mar

Fig. Shows a particle of mass m = 100gm, attached with four identical springs, each of length l = 10cm. Initial tension in each spring is F0 = 25 newton. Neglecting gravity, calculate period of small oscillations of the particle along a line perpendicular to the plane of the figure.

• prakhar March 8, 2011 at 3:29 pm

2 pie/ (100*root 10) ……—-> seems incorrect . anyone else here…. ?

• Amit Mishra March 8, 2011 at 5:32 pm

i think we can first evaluate the net spring constant
the springs arising from B and D will be in parallels so does the spring arising from A and C and their resultant will be in series!!!!
k of each spring is 2.5
so the net spring constant is knet=2.5 (by law 0f series and parallel)
as the block will execute SHM T=2*pi*sqrt(m/k)
by susitutig values we can get answer

• rishabh March 9, 2011 at 2:06 pm

is the setup on a horizonzal surface?
and is ‘l’ natural length of spring or initial extended length?

• 2/5*pie* sqrt10

• prakar is right. What other say?