Question
Physics Question on Oscillations
Two springs are joined and attached to a mass of 16kg. The system is then suspended vertically from a rigid support. The spring constant of the two springs are k1 and k2 respectively. The period of vertical oscillations of the system will be
A
8π1k1+k2
B
8πk1k2k1+k2
C
2πk1−k2
D
2πk2k1
Answer
8πk1k2k1+k2
Explanation
Solution
The two springs are in series. Therefore, the time period is
T=2πkm=2πm(k1k2k1+k2)
As m=16kg;T=8πk1k2k1+k2