Questions
A spring mass system (mass ‘m’, spring constant ‘k’ and natural length ) rest in equilibrium on a horizontal disc. The free end of the spring is fixed at the centre of disc. If 5g mass of the body attached to the spring having spring constant . If the disc together with spring mass system, rotates about its axis with an angular velocity of . , then the percentage change in the length of the spring is
detailed solution
Correct option is B
kΔl←m→ml0+Δlω2 from free body diagram, forces acting on mass m are,(k=force constant), restoring force of spring F=-kx=-kΔl, towards the centre here Δl is extension in length of spring and centrifugal force F=mw2l0+Δl, away from the centre, l0=unstretched length of spring equating the above two equations kΔl=mw2l0+Δl kΔl-mw2Δl=mw2l0 Δl=mw2l0k-mw2 Δll0=mw2k-mw2≃mw2k 100(Δll0)=(mw2k)100 Δll0%=(5x10-3x5220)100 Δll0%=0.625Talk to our academic expert!
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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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