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A small book of mass m is held on a rough straight desk lid which is inclined at an angle α to the horizontal, where tan α = 3/4 . The book is released from rest at a distance of 0.5 m from the edge of the desk lid, as shown in Figure 1. The book slides down the desk lid and then hits the floor that is 0.8 m below the edge of the desk lid. The coefficient of friction between the book and the desk lid is 0.4
The book is modelled as a particle which, after leaving the desk lid, is assumed to move freely under gravity.
1. Find, in terms of m and g, the magnitude of the normal reaction on the book as it slides down the desk lid.
2. Use the work-energy principle to find the speed of the book as it hits the floor.
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