FYKOS Year 29 Series 3 Problem 5 — running notebook · FYKOS 29 #29.3.5

Physics · mechanics

Problem

The notebook of a size of A4 (297 x 210 mm) lies on a desk with an inclination of

α=5°

. The notebook weights

m

, between the desk and the notebook there acts a static friction force with coefficient

f_{0}=0.52

. Then, we hit the desk so it starts to oscillate (in the direction of the inclination of the desk) with a frequency

ν=10\;\mathrm{Hz}

and an amplitude

A=1\;\mathrm{mm}

. Determine by which extra force (perpendicular to the desk) we have to act on the notebook so it does not start to move. Determine how long it takes the notebook to fall off the desk if at the beggining its bottom edge (the shorter one) is at the bottom edge of the desk. Dynamic friction coeficient is

f

, consider notebook as a rigid plate.

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