Question

A tick is standing on a turntable at distance r from the centre. The static friction coefficient between the tick and table is us. The table is spinning at a constant angular frequency of w

a) what values of r is the bug most likely to slip at? small or large ?
b) The tick is walking along a radius and slips. What is the value of r when the tick slips?

Answer 1

omega = constant angular velocity

v = omega r
Ac = omega^2 r

slips when mu m g = m omega^2 r
or mu g = omega^2 r
so
the bigger r, the more likely the slip

r = mu g/omega^2