A solid, horizontal cylinder of mass 10.0 kg and radius 1.00 mrotates with an angular speed of 7.00 rad/s about a fixedvertical axis through its center. A 0.250-kg piece of putty isdropped vertically onto the cylinder at a point 0.900 m fromthe center of rotation and sticks to the cylinder. Determinethe final angular speed of the system.

A uniform solid disk of mass m = 3.03 kg and radius r = 0.200 m rotates about a fixed axis perpendicular to its face with angular frequency 6.07 rad/s. (a) Calculate the magnitude of the angular momentum of the disk when the axis of rotation passes through its center of mass. kg · m2/s (b) What is the magnitude of the angular momentum when the axis of rotation passes through a point midway between the center and the rim? kg · m2/s Need Help? Read It

A perfectly elastic ball bounces against a surface with a velocity vo = 2.4 m/s at an angle 0o = 45 degrees to the vertical. As a result of the impact, the ball bounces upward at an angle 0₁ = 23.2 degrees but also gains a topspin w₁ = 152 rad/s due to the rough surface. The ball has mass m = 10 grams and radius R = 16 mm. The moment of inertia of a solid sphere is /G = (2 m R²) / 5. The coefficient of restitution for the impact e = 1, so that energy can be assumed to be conserved during impact. g W₁ = 0 Vo 0₁ W₁ Calculate the magnitude of the velocity v₁ of the ball after impact. Ov=2.85 m/s O V = 2.4 m/s O V = 1.84 m/s O V = 1.67 m/s V₁

A solid, horizontal cylinder of mass 11.2 kg and radius 1.00 m rotates with an angular speed of 7.50 rad/s about a fixed vertical axis through its center. A 0.250-kg piece of putty is dropped vertically onto the cylinder at a point 0.900 m from the center of rotation and sticks to the cylinder. Determine the final angular speed of the system.