A block of weight W = 17 N, which can slide without friction on a 32.5° incline, is connected to the top of the incline by a massless spring of unstretched length xo = 0.34 m and spring constant k = 225 N/m. By how much will the spring be stretched when the system is in equilibrium?

Question

If the block is pulled slightly down the incline from its equilibrium position and released, what is the frequency of the ensuing oscillations?

Answer 1

k x = m g sin 32.5

the frequency has nothing to do with gravity or its direction. The stretching and motion and spring force is all parallel to the slope and the gravitational force component is just constant m g sin theta.
omega = sqrt (k/m)
as usual