You place a coin with a mass of 0.006 kg 0.0254 meters from the center of the table. There is friction between the coin and the table (μs = 0.6, μk = 0.4). You turn the turntable on and it spins up slowly to 33.3rpm. Will the coin slide off?
Coin will slide of the table, if static friction force on coin is lower than the centripetal force on coin.
Centripetal force on coin will by:
F = m*ac = m*w^2*r
w = 33.3 rpm = 33.3*2*pi/60 = 3.4872 rad/sec
r = 0.0254 m
So,
F = 0.006*0.0254*3.4872^2 = 0.00185 N
Now Friction force on coin will be:
Ff = us*Fn = us*m*g
Ff = 0.6*0.006*9.81
Ff = 0.035 N
Since Ff > F, So coin will not start motion, Coin will not slide off the table.
You place a coin with a mass of 0.006 kg 0.0254 meters from the center of...
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