# Ramp Question

Starting from rest, a massive block slides from the top of a friction-less ramp to the bottom. There is a gravity force acting "downwards" on the block, as shown in the figure. The height of the ramp ($$H$$) is a fixed finite number, and the ramp angle ($$\theta$$) can be anything in the range $$(0 < \theta \leq \frac{\pi}{2})$$.

Given the allowed range for $$\theta$$, is there a finite upper bound on the amount of time it can take for the block to fully slide down the ramp?

Note: We are not talking about any particular ramp with any particular value of theta. We are instead concerned with the general concept of the ramp, and how it behaves in certain limiting cases.

×