Questions
A particle at the end of a spring executes simple harmonic motion with a period , while the corresponding period for another spring is . If the period of oscillation with the two springs in series is T, then
detailed solution
Correct option is B
t1=2 πmk1 and t2=2 πmk2In series, effective spring constant, k=k1k2k1+k2∴Time period, T=2 πm (k1+k2)k1k2 …..(ii) Now, t12+t22=4 π2m 1k1+1k2=4 π2m (k1+k2)k1k2t12+t22=T2. [Using equation (ii)]Talk to our academic expert!
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
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