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A plate is in the shape of a quarter cy...

A plate is in the shape of a quarter cylinder of radius R and length L. This plate is hinged at C to a vertical wall and can rotate freely about C. The end A of the plate is tied to the wall using two horizontal cables the other cables is parallel to OA and the two cables are placed symmetrically). the space between the wall and the plate is filled completely with water (density`=rho`) Neglect the weight of the plate and calculate the tension in each cable .
TAke `tan^(-1)((pi)/(2))=57^(@)` and `cos57^(@)=(1)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
`sqrt((4+pi^(2))/(8))rhogR^(2)L`
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