A 3-kg box resting on a horizontal shelf is attached to a 2-kg box by a light

Question:

A 3-kg box resting on a horizontal shelf is attached to a 2-kg box by a light string as in figure.

(a) What is the minimum coefficient of static friction such that the objects remain at rest?

(b) If the coefficient of static friction is less than that found in part (a), and the coefficient of kinetic friction between the box and the shelf is 0.3, find the time for the 2-kg mass to fall 2 m to the floor if the system starts fromrest.

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