A simple pendulm has a length L and a bob of mass M. The bob is vibrating with amplitude a .What is the maximum tension in the string?

Options

A. `mg`
B. `mg[1+((a)/(L))^(2)]`
C. `mg[1+((a)/(2L))]^(2)`
D. `mg[1+((a)/(2L))^(2)]`

Answer

A, C, D

Explanation

`T -mg cos theta =(mv^(2))/(l), T` is maximum, when `theta =0`
`T_(max) =mg+ (mv_(max)^(2))/(L) =mg+(ma^(2) omega^(2))/(L)`
`= mg+(ma^(2))/(L)xx (g)/(L) = mg [1+((a)/(L))^(2)]`
The other options are therefore, wrong.