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A disc is kept on a smooth horizontal pl...

A disc is kept on a smooth horizontal plane with its plane parallel to horizontal plane. A groove having rectangular cross section is make in the disc. A block A just fits in the groove. The coefficient of friction between A and surfaces of groove is 2/5. The disc is given a horizontal acceleration `a = 25m//s^(2)` at an angle `theta = sin ^(-1) (3//5)` with the groove. If acceleration of A with respect to the disc is `(5k)m//s^(2),` find the value of k. `(g=10m//s^(2))`

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