(6 points) Angled_Pole Known values: Mass of Collar d u v 3.7 kg 22 cm 3 3 Problem Statement: An angled pole is mounted in a fixed base. The pole rotates about the z-axis at a constant rate, as pictured. A collar placed around angled portion of the pole has a static friction coefficient of 0.24. If the pole spins too slowly, the collar will slide down the pole due to gravity; if it spins too fast, the collar will slide up the pole. Between these two extremes, the collar will not slide and will travel at constant speed in a circular path as depicted. If the collar's speed along its path is 1.21 m/s, it will not slide. In this case, determine the value and direction of the static friction force acting on the collar: up the pole Determine the minimum speed along its path the collar can have without sliding downward: The value of the friction force in this case is: Determine the maximum speed along its path the collar can have without sliding upward: The value of the friction force in this case is: Be sure to include units with your answers.