To find the coefficient of static friction for a block sliding down a ramp at an angle of 53.75 degrees, the relevant equations involve the normal force and net force on the incline. The normal force can be calculated using the formula normal force = m * g * cos(angle), while the net force is given by net force = m * g * sin(angle). The mass of the block is not necessary for the calculation, as it will cancel out in the equations. It is also assumed that the acceleration is zero at the point of static friction. Understanding these principles allows for the determination of the coefficient of static friction without needing the block's mass.