Two masses m1\text m_1m1 and m2\text m_2m2 are connected by a massless spring of spring constant k. The system is free to oscillate alon
Question
Two masses m1 and m2are connected by a massless spring of spring constant k. The system is free to oscillate along the length of spring. The system oscillates with a frequency:
A.
2π1μk where μ=((m1m2)/(m1+m))
B.
kμ where μ=((m1m2)/(m1+m2))
C.
μk where μ=((m1m2)/(m1+m2))
D.
2π1kμ where μ=((m1m2)/(m1+m2))
Correct option is A
For two masses m1 and m2 connected by a massless spring with spring constant k, the system will oscillate with a frequency. The frequency f of oscillation of the two-mass system is given by:f=2π1μk
Where:μ is the reduced mass of the system.
μ=m1+m2m1m2
f=2π1m1+m2m1m2kf=2π1μk where μ=m1+m2m1m2