A solid spherical ball starts from rest at an initial height of 1.3 m, and rolls down an incline. The ball's mass is 2.9 kg and its radius is 24.1 cm. What is the ball's final center of mass (translational) speed (in m/s)?

You visit a friend in Grand Rapids, MI, where – in the middle of the night, you decide to construct a pendulum consisting of a heavy metal stick of mass 2 kg and length 1 m with a solid silicon sphere at the end. The mass of the sphere is 0.4 kg, and its radius 20 cm as shown below. If the pendulum is released from rest at an angle of 30°, what is the angular velocity at the lowest point? 5. Axis 1 m, 2 kg 30° 0.3 kg, 20 cm radius

A uniform thin rod of length 0.48 m and mass 3.5 kg can rotate in a horizontal plane about a vertical axis through its center. The rod is at rest when a 3.2 g bullet traveling in the rotation plane is fired into one end of the rod. As viewed from above, the bullet's path makes angle 0 = 60° with the rod. If the bullet lodges in the rod and the angular velocity of the rod is 9.00 rad/s immediately after the collision, what is the bullet's speed just before impact? Axis Number i Units

A bottle is initially spinning with an angular velocity of ω = 1.5 rad/s. Over the span of t = 3.9 seconds the bottle angularly accelerates with α = 1.5 rad/s2. What is the angular velocity of the bottle after the 3.9 s?

Angular momentum is conserved for this inelastic collision because the surface is frictionless and the unbalanced external force at the nail exerts no torque.   The disk has a mass of 51.5 g and an initial velocity of 32.0 m/s when it strikes the stick that is 1.40 m long and 2.05 kg at a distance of 0.100 m from the nail.   1. What is the angular velocity (in rad/s) of the two after the collision? (magnitude in rad/s)   2. What is the kinetic energy (in J) before and after the collision? Kbefore=  J Kafter=  J   3. What is the total linear momentum (in kg · m/s) before and after the collision? (Entermagnitude) pbefore=  kg · m/s pafter= kg · m/s

As shown in Figure , a 0.500 kg stone moving horizontally with a speed of 2.25 m/s collides with a 0.750 m long stationary vertical uniform rod. The rod has a mass of 1.50 kg and is fixed to the ground by a frictionless hinge. After the collision, the stone drops vertically down to the ground. What is the angular speed of the rod just after the collision? 0.25 m A) 2.00 rad/s B) 1.00 rad/s C) 3.00 rad/s D) 4.00 rad/s E) 5.00 rad/s stone v = 2.25 m/s 0.75 m Hinge

A potter's disk spins from rest up to 3.8 rev/s in 15 s. The disk has a mass 3.5 kg and radius 24.0 cm. What is the angular momentum (in kg · m2/s) of the disk at t = 5 s? (Enter the magnitude.) What is the angular momentum (in kg · m2/s) of the disk at  t = 10 s?(Enter the magnitude.)

A solid horizontal cylinder rotates with an angular speed of 7.50 rad/s about a fixed vertical axis through its center. The mass of cylinder is mass 10.8 kg and its radius 1.00 m.   If a piece of putty (m= 0.250-kg ) is dropped vertically onto the cylinder and sticks at a point 0.900 m from the center of rotation, what will be the final angular speed of the system.

A figure skater is spinning with an angular velocity of +10.3 rad/s. She then comes to a stop over a brief period of time. During this time, her angular displacement is +4.97 rad. Determine the time during which she comes to rest.

A uniform ring with the mass of 4 kg and a radius of 20 cm is rotating at a rate of 20 rad/s. What is the angular momentum of the ring?