17. A bullet traveling with an initial speed vo enters an door imbedding Hinge itself from the side opposite the hinges, as shown in the overhead view of the figure. Ignoring air resistance and the friction due to the hingers, which of the following statements must be true? a. The angular momentum of the system consisting of the -18.0 kg door and the bullet is conserved. b. The linear momentum of the system consisting of the door and the bullet is conserved. 0.005 kg c. The total mechanical energy of the system consisting of the door and the bullet is conserved. d. The total kinetic energy of the system consisting of the door and the bullet is conserved.

The object shown below has mass m and velocity V. The direction of its angular momentum vector with respect to an axis perpendicular to the page through point O is Oo a. to the right. b. downwards c. counterclockwise. d. into the page. e. up out of the page.

Modem wind turbines generate electricity from wind power. The large, massive blades have a large moment of inertia and carry a great amount of angular momentum when rotatingA wind turbine has a total of 3 bladesEach blade has a mass of m 5500 kg distributed uniformly along its length and extends a distance r = 49m from the center of rotationThe turbine rotates with a frequency of f= 15 rpm. Part a: enter expression for the total moment of inertia of the wind turbine about its a is of rotation in terms of the define quantites Part b calcukate the total moment of inertia of the wijd turbine about its axis in units of kilogram meter square Part c enter an expression for the expression for the angular momentum of the wind turbine in terms of the defined quantities Part d : calculate the angular momentum of rhe wind turnine in units if kilogram meters squared per second

A 0.1 kg solid disc has a radius of 0.2 m. The moment of inertia of a solid disc is I = ½ m r2. EXAM  The disc initially rolls with a velocity of 2 m/s along a horizontal surface. It then rolls up a ramp and briefly stops when it reaches a height h.  The disc rolls without slipping on both surfaces.  a) What is the angular velocity of the disc when it is on the horizontal surface?  b) What is the speed of a point on the very top of the disc when the disc is on the horizontal surface?  c) Use Conservation of Energy to find the maximum height of the disc, h.  d) If the disc were replaced with a thin ring (same mass, same radius, same initial speed), would it roll higher, less high, or the same height? No calculations required. Briefly explain your answer!  e) If there were no friction (the disc slides instead of rolling), but the disc still has the same initial speed, would it roll higher, less high, or the same height?

5. A rod of length Do and mass 2Mo is at rest on a flat, horizontal surface. One end of the rod is connected to a pivot that the rod will rotate around if acted upon by a net torque. A lump of clay of mass mo is launched horizontally toward the center of the rod with velocity Vo, as shown in the figure. After the clay collides with the rod, the clay sticks to the rod and both objects rotate around the pivot with the common angular velocity wo. The rotational inertia of the clay-rod system is Is. What is clay's angular velocity immediately after the collision? mo Vo Do 2Mo