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Consider a simple pendulum of length l =...

Consider a simple pendulum of length l = 0.9 m which is properly placed on a trolley rolling down on a inclined plane which is at `0 = 45°` with the horizontal. Assuming that the inclined plane is frictionless. Assuming that the time period of oscillation of the simple pendulum is T. Find the value of T.

Text Solution

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Length of simple pendulum l = 0.9 m
Inclined plane with the horizontal plane `alpha=45^(@)`
Time period of oscillation of simple pendulum = T = ?
`T=2pisqrt((l)/(g cosalpha))=2xx3.14sqrt((0.9)/(9.8xxcos45^(@))`
`=2xx3.14sqrt((0.9)/(9.8xx7071))`
T = 2.263 s
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