Q.
A particle of mass m is attached to three identical springs A, B and C each of force constant k a shown in figure. If the particle of mass m is pushed slightly against the spring A and released then the time period of oscillations is
see full answer
Talk to JEE/NEET 2025 Toppers - Learn What Actually Works!
Real Strategies. Real People. Real Success Stories - Just 1 call away
An Intiative by Sri Chaitanya
a
2π2mk
b
2πm2k
c
2πmk
d
2πm3k
answer is B.
(Unlock A.I Detailed Solution for FREE)
Ready to Test Your Skills?
Check your Performance Today with our Free Mock Test used by Toppers!
Take Free Test
Detailed Solution
When the particle of mass m at O is pushed by y in the direction of A The spring A will be compressed by y while spring B and C will be stretched by y'=ycos45°. So that the total restoring force on the mass m along OA.Fnet=FA+FBcos45°+FCcos45°=ky+2ky'cos45°=ky+2k(ycos45°)cos45°=2kyAlso Fnet=k'y⇒k'y=2ky⇒k'=2kT=2πmk'=2πm2k
Watch 3-min video & get full concept clarity