Shown in figure is a block at rest having an inclined smooth groove in vertical plane. The horizontal surface is smooth. A ball of same mass as that of block at rest is released from top end. The time when ball will leave groove is √(nL/(2g√3)). Find n.

0 9 Views | Posted 3 weeks ago
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    Answered by

    Vishal Baghel | Contributor-Level 10

    3 weeks ago

    -mv cos 60? + 2mu = 0 => v = 4u
    ½m [v² + u² + 2uv cos 120? ] + ½mu² = mgx sin 60?
    => v² = (8/7)√3gx => ar = (4√3/7)g
    ∴ t = √ (2L × 7)/ (4√3g)

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