Acoin rests 11.0 cm from the center of a turntable. the coefficient of static friction between the coin and turntable surface is 0.340. the turntable starts from rest at t = 0 and rotates with a constant angular acceleration of 0.820 rad/s2. (b) at what angular speed (ω) will the coin start to slip?

5.5 rad/s

Explanation:

The friction between the coin and the turntable provides the centripetal force that keeps the coin in circular motion. Therefore, we can write:

where

is the coefficient of friction

m is the mass of the coin

is the acceleration of gravity

is the angular speed

r is the distance of the coin from the centre of rotation

In this problem,

r = 11.0 cm = 0.11 m

The coin starts to slip when the centripetal force becomes larger than the maximum frictional force:

Solving for , we find the angular speed at which this happens:

find the sum of the two horizontal vectors and the sum of the two vertical vectors

isoceles right angled triangle