A light rigid rod of length ℓ = 1.00 m rotates about an axis perpendicular to its length and through its center, as shown in Figure P8.45. Two particles of masses m1 = 4.00 kg and m2 = 3.00 kg are connected to the ends of the rod. What is the angular momentum of the system if the speed of each particle is 5.00 m/s? (Neglect the rod’s mass.)

(c) Is mechanical energy of the bullet-door system constant in this collision? Answer without doing a calculation. O Yes O No

A net torque is acting on the two particles shown in the figure for two seconds. Given the information below: (a) Calculate the magnitude and direction of the net angular momentum of particles A and B about the origin point O. (b) Then find the net torque acting this system about point O. mĄ = 6.2 kg тв 3D 3.1 kg VA = 1.2 m/s %3D Vв 3D 2.6 т/s ri = 1.5 m r2 = = 2.7 m VB A

(hrw8c11p28) A particle P with mass 9 kg has position vector r (r = 6.0 m) and velocity v (v = 35.0 m/s) as shown in the figure. It is acted on by force F (F = 11.0 N). All three vectors lie in the xy plane. About the origin, what is the z-component of the angular momentum of the particle? About the origin, what is the z-component of the torque acting on the particle?

You're feeling particularly lazy and decide to open a door by firing a bullet at it. The door has a mass of 10.7 kg and is 1.25 m wide, and the 10 g bullet, traveling at 420. m/s, hits the door at the edge opposite the hinges. The bullet stops inside the door, which then swings open. What is the angular velocity of the door just after the bullet hits it?

A. A light, rigid rod of length L = 1.00 m joins two particles, with masses m_1 = 4.00 kg and m_2 = 3.00 kg, at its ends. The combination rotates in the xy-plane about a pivot through the center of the rod (see figure below). Determine the angular momentum of the system about the origin when the speed of each particle is 7.40 m/s.  B. What would be the new angular momentum of the system (in kg · m2/s) if each of the masses were instead a solid sphere 13.5 cm in diameter?

A thin, 70.0 g disk with a diameter of 6.50 cm rotates about an axis through its center with 0.200 J of kinetic energy. What is the moment of intertia of the disk? (kg·m2) What is the speed of a point on the rim? (m/s)