(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"

12–163. The car travels along the circular curve having a radius r = 400 ft. At the instant shown, its angular rate of rotation is ở = 0.025 rad/s, which is decreasing at the rate ö = -0.008 rad/s². Determine the radial and transverse components of the car's velocity and acceleration at this instant and sketch these components on the curve. *12–164. The car travels along the circular curve of radius r = 400 ft with a constant speed of v = 30 ft/s. Determine the angular rate of rotation ở of the radial line r and the magnitude of the car's acceleration. r= 400 ft