Manipal MET2016PhysicsOscillations
Two springs are connected to a block of mass M placed on a frictionless surface as shown below. If both the springs have a spring constant k , then the frequency of oscillation of the block is
Options
- A1 2 k M
- B1 2 k 2 M
- C1 2 2 k M
- D1 2 M k
Correct answer
B. 1 2 k 2 M
Step-by-step solution
The frequency of oscillation of a vibrating spring-block, system is given by v= 1 2 k_ eff M (i) Since, the springs are attached in series, each having spring constant k , so we have 1 k_ eff = 1 k + 1 k = 2 k k_ eff = k 2 From Eq. (i), we get v= 1 2 k_ eff M = 1 2 k 2 M .