Question

Consider a mass ' m ' attached to a spring of length ' l ' performing vertical circle.
Find an expression for :

( 1 ) velocity at any point
( 2 ) tension at any point
( 3 ) minimum velocity at the lower - most point for a vertical circle

Answer 1

Answer:

The Radius of the circle traced will be equal to the length of the string

In circular motion tension in the string is balanced by the centripetal force

hence we know that

T = mv² / r

T = mv² / L

v² = TL /m

Velocity at any point

v = √TL / m

And at the lowest point, the tension is balanced by the weight of the block

∴ tension = weight = mg

 v = √ mgL / m

  v = √gL

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