A particle lies on a smooth plane inclined \(35^{\circ}\) with respect to the ground and resting on a spring of elastic constant \(k=55 \mathrm{~N} / \mathrm{m}\). The spring to support the body shortens by \(\Delta l=10\) \(\mathrm{cm}\). Determine the mass of the particle and what the static friction coefficient \(\mu_{s}\) should be to support it in eventual replacement of the spring.