Download the app


Two identical balls A and B each of mass 0.1 kg are attached to two identical massless springs. The spring mass system is constrained to move inside a rigid smooth pipe bent in the form of a circle as shown in the figure. The pipe is fixed in a horizontal plane. The centres of the balls can move in a circle of radius 0.06 m. Each spring has a natural length of 0.06π m and force constant 0.1N/m. Initially both the balls are displaced by an angle θ=π/6 radian with respect to the diameter PQ of the circle and released from rest. The frequency of oscillation of the ball B is 

Remember concepts with our Masterclasses.

80k Users
60 mins Expert Faculty Ask Questions
π Hz
2π Hz

Ready to Test Your Skills?

Check Your Performance Today with our Free Mock Tests used by Toppers!

detailed solution

Correct option is B

As here two masses are connected by two springs, this problem is equivalent to the oscillation of a reduced mass mr of a spring of effective spring constant.       T=2πmrKeff.Here mr=m1m2m1+m2=m2⇒Keff.=K1+K2=2K∴n=12ππ2Km×2=1πKm=1π0.10.1=1πHz

Talk to our academic expert!


Are you a Sri Chaitanya student?


Create Your Own Test
Your Topic, Your Difficulty, Your Pace

Similar Questions

An ideal spring with spring-constant K is hung from the ceiling and a block of mass M is attached to its lower end. The mass is released with the spring initially unstretched. Then the maximum extension in the spring is 

phone icon
whats app icon