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Howdy,
The L for the monkey about the Pivot Point of the Pulley is definitely NOT
zero. The r vector points from the origin at the Pivot Point of the Pulley
to the CM of the Monkey (the apparent point of application of the earth's
gravitational force on the Monkey).
That is NOT parallel to the velocity
vector which is vertically upward.
A similar thing is true about the Bananas
except that the L vector for the Bananas is opposite in direction to the L
vector for the Monkey so the two can add to give a net L vector of zero.