A uniform thin pole with length L, mass M with a pivot at its end (I = 1/3ML^2) is spinning on the (frictionless) ground. The pole has an angular velocity ω = 2 rad/s at time t = 0. Two seconds later you measure ω = 2.5 rad/s^2. A) Assuming constant angular acceleration, α, what is α for the pole? B) What magnitude force, if applied at the end of the pole opposite the pivot, with a force direction always perpendicular to the line drawn from the pivot along the pole, would produce this α? C) The same force magnitude you calculated in part (b) is now applied at the center of the pole in the same direction specified in part (b). An ant is at the end of the pole opposite the pivot. If the coefficient of static friction between the ant and the pole is μs = 0.2 at what angular velocity will the ant slip off of the pole? D) At what time does the ant slip off of the pole?
A uniform thin pole with length L, mass M with a pivot at its end (I = 1/3ML^2) is spinning
on the (frictionless) ground. The pole has an
later you measure ω = 2.5 rad/s^2.
A) Assuming constant
B) What magnitude force, if applied at the end of the pole opposite the pivot, with a force
direction always perpendicular to the line drawn from the pivot along the pole, would produce this α?
C) The same force magnitude you calculated in part (b) is now applied at the center of the
pole in the same direction specified in part (b). An ant is at the end of the pole opposite the pivot. If
the coefficient of static friction between the ant and the pole is μs = 0.2 at what angular velocity will
the ant slip off of the pole?
D) At what time does the ant slip off of the pole?
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