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I read in a physics book that given the spin momentum is high the torque will turn the spin angular momentum instead of making the pendulum fall. What law governs this??

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Actually - if you start from rest, the gyroscope does fall. A tiny little bit. And it is that initial downward motion that leads to the forces needed to start the precession. The downward motion leads to a torque about the vertical axis, and starts the precession. The motion is called nutation; with time, this up-and-down motion is usually damped out and you end up with pure precession (at an angle slightly below the vertical; that's how you maintain the zero angular momentum about the vertical axis).

See this answer and in particular the link I give there .

The laws that apply are still the same Newton's laws... equilibrium only exists when the gyroscope is precessing, and the mechanism described in the link explains how that precession starts.

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