(II) A potter’s wheel is rotating around a vertical axis  through its center at a frequency of 1.5 rev/s. The wheel can be considered a uniform disk of mass 5.0 kg and diameter 0.40 m. The potter then throws a 2.6-kg chunk of clay,approximately shaped as a flat disk of radius 7.0 cm, onto  the center of the rotating wheel. What is the frequency of the wheel after the clay sticks to it? Ignore friction.

(3) The 12-lb lever OA with 10-in. radius of gyration about point O is initially at rest in the vertical position (0 = 90°), where the attached spring of stiffness k= 3 lb/in is unstretched. Calculate the constant moment M applied to the lever at O which will give the lever an angular velocity o = 4 rad/sec as the lever rotates to the horizontal position at 0 = 0. k = 3 lb/in. ww 15" 15"

12–125. The car travels around the circular track having a radius of r = 300 m such that when it is at point A it has a velocity of 5 m/s, which is increasing at the rate of i = (0.061) m/s², where t is in seconds. Determine the magnitudes of its velocity and acceleration when it has traveled one-third the way around the track. 12–126. The car travels around the portion of a circular track having a radius of r= 500 ft such that when it is at point A it has a velocity of 2 ft/s, which is increasing at the rate of i = (0.0021) ft/s², where t is in seconds. Determine the magnitudes of its velocity and acceleration when it has traveled three-fourths the way around the track.