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A simple pendulum with a bob of mass m swings with an angular amplitude of `40^@`. When its angular displacement is `20^@`, the tension in the string is greater than `mg cos 20^@`

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As the angular amplitude of the pendulum is `40^@`, the bob will be in the mid of the equilibrium position and the extreme position as shown in the figure

`:.` `T=mgcos20^@+(mv^2)/(l)`
`(mv)^2/l` is always a positive quantity.
Hence, `Tgtmgcos20^@`
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