1.

The angular velocity and the amplitude of a simple pendulum is omega and A respectively. At a displacement x from the mean position if its kinetic energy is k and potential energy U, then the ratio of K and U is………..

Answer»

`(x^(2) omega^(2))/((A^(2)-x^(2)omega^(2))`
`(x^(2))/((A^(2)-x^(2))`
`(A^(2)-x^(2)omega^(2))/(x^(2) omega^(2))`
`(A^(2)-x^(2))/(x^(2))`

SOLUTION :Kinetic ENERGY `K= (1)/(2) m omega^(2) (A^(2)-x^(2))`
and potential energy `U= (1)/(2) m omega^(2) x^(2)`
`THEREFORE (K)/(U)= (A^(2)-x^(2))/(x^2)`.


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