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Figure shows a smooth track, a part of ...

Figure shows a smooth track, a part of which is a circle of radius 10cm. A block of mass 3kg is pushed against a spring of spring constant 100 N/m fixed at the left end and is then released. If the initial compression of the spring is 10x cm, find the value of X so that the block pushes the circular track with a force of 30 N when it reaches point P, (where the position vector of P with respect to centre of the circular track is horizontal). (g = 10 m/s)

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