# Impulse in string

**Classical Mechanics**Level 4

A box of mass \(14~m\) with smooth base is sliding on an inclined plane of inclination \(\theta=37^{o}\) under the influence of a force \(F\). A string of mass \(m\) length \(l\) is attached at \(A\). The box is released from rest and a transverse pulse is produced at other end \(B\). For \(F=9mg\) the time taken by the pulse in moving from \(B\) to \(A\) will be \(\large{p\sqrt{ \frac{ql}{rg}}}\). where \(q,r\) are **co prime square free** positive integers. find \(p+q+r\)

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