Rope Sliding on Double Ramp

A 1 kg\SI{1}{\kilo\gram} rope of length 1.5 m\SI{1.5}{\meter} slides down a frictionless double ramp in the shape of an equilateral triangle, as shown in the diagram above. At time t=0t = 0, the rope is at rest with 1 m\SI{1}{\meter} of its length on the right side of the ramp.

How much time (in seconds, to 3 decimal places) elapses before all of the rope is on the right side?


Details and Assumptions:

  • The downward gravitational acceleration is 10 m/s2.\SI[per-mode=symbol]{10}{\meter\per\second\squared}.
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