A block of mass m is pressed against a s...

A block of mass m is pressed against a spring of force constant k. The block after leaving contact with the spring moves along a ''loop'' the loop track. The sliding surface is smooth except for rough portion of length s equal to R as shown in Fig. 3E.34, where the coefficient of friction is `mu_(k)`. Determine the minimum spring compression x for which the particle will not lose contant with the track ?

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