A large turntable with radius 6.00 m rotates about a fixedvertical axis, making one revolution in 8.00 s. The moment of inertia ofthe turntable about this axis is 1200 kg . m2. You stand, barefooted, atthe rim of the turntable and very slowly walk toward the center, along aradial line painted on the surface of the turntable. Your mass is 70.0 kg.Since the radius of the turntable is large, it is a good approximation totreat yourself as a point mass. Assume that you can maintain your balanceby adjusting the positions of your feet. You find that you can reacha point 3.00 m from the center of the turntable before your feet beginto slip. What is the coefficient of static friction between the bottoms ofyour feet and the surface of the turntable?
A large turntable with radius 6.00 m rotates about a fixed
vertical axis, making one revolution in 8.00 s. The moment of inertia of
the turntable about this axis is 1200 kg . m2. You stand, barefooted, at
the rim of the turntable and very slowly walk toward the center, along a
radial line painted on the surface of the turntable. Your mass is 70.0 kg.
Since the radius of the turntable is large, it is a good approximation to
treat yourself as a point mass. Assume that you can maintain your balance
by adjusting the positions of your feet. You find that you can reach
a point 3.00 m from the center of the turntable before your feet begin
to slip. What is the coefficient of static friction between the bottoms of
your feet and the surface of the turntable?
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
