A particle of mass m is attached to three springs A,B and C of equal force constants k as shown in figure. If the particle is pushed slightly against the spring C and released, the time period of oscillation is
2π√mk
2π√m2k
2π√m3k
2π√3mk
A
2π√3mk
B
2π√m2k
C
2π√m3k
D
2π√mk
Open in App
Solution
Verified by Toppr
Fnet=FA+FBcos450+FCcos450
=ky+2ky′cos450=ky+2k(ycos450)cos450=2ky
Fnet=k′y⇒k′y=2ky⇒k′=2k
T=2π√mk′=2π√m2k
Hence,
option (B) is correct answer.
Was this answer helpful?
0
Similar Questions
Q1
A particle of mass m is attached to three identical springs A, B and C each of force constant k as shown in figure. If the particle of mass m is pushed slightly against the spring A and released, the time period of oscillation is: