Question

define a conical pendulum and obtain an expression for its time period

Answer 1

hey!!
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▪Time period of a conical pendulum is defined as the time taken by the pendulum to complete one ascillation.

#In balancing condition:-

T cosθ = mg−−−(1).and T sinθ = mv2r−−−(2).Dividing eqn (2) by eqn (1),

we get,tanθ = v2rg = 4π2r2T2rg = 4π2rT2g.T = 2πrg tanθ−−−−−√, but from the diagram r = l sinθ,

#where l is the length of the pendulum:-#

T = 2πl sinθg tanθ√ or T = 2πl cosθg−−−−√.

Where T is time period.


hope help u!!