A conical pendulum is a weight or bob fixed on the end of a string suspended from a point. It moves in a horizontal circular path, as shown in the diagram below with the string at a constant angle 0 to the vertical. The pendulum bob has a mass of 0.290 kg, the length of the pendulum is 0.630 m, and the angle that it swings at is 15.0°. What is the angular momentum of the mass about the vertical if it moves in the clockwise direction when viewed from above? We use the standard rectangular coordinate system with +x axis to the right, +y axis vertically up, and +z axis out toward you. Enter your answer using unit vector notation. (Take the angular momentum of the mass to be about the center of the circular path.) kg - m2/s

In the figure, a 5.03 g bullet is fired into a 0.539 kg block attached to the end of a 0.878 m nonuniform rod of mass 0.846 kg. The block-rod-bullet system then rotates in the plane of the figure, about a fixed axis at A. The rotational inertia of the rod alone about A is 0.0330 kg-m?. Treat the block as a particle. (a) What then is the rotational inertia of the block-rod-bullet system about point A? (b) If the angular speed of the system about A just after impact is 3.01 rad/s, what is the bullet's speed just before impact? Rod ISlock lullet (a) Number Units (b) Number Units

A solid cylinder of mass 4 kg and radius 2 m rotates with constant angular velocity of 5 rad/s about an axis through its center. What is the angular momentum of the cylinder?

Two 3.40 kg balls are attached to the ends of a thin rod of length 44.0 cm and negligible mass. The rod is free to rotate in a vertical plane without friction about a horizontal axis through its center. With the rod initially horizontal (the figure), a 73.0 g wad of wet putty drops onto one of the balls, hitting it with a speed of 2.97 m/s and then sticking to it. (a) What is the angular speed of the system just after the putty wad hits? (b) What is the ratio of the kinetic energy of the system after the collision to that of the putty wad just before? (c) Through what angle (deg) will the system rotate before it momentarily stops? Putty wad Rotation axis (a) Number i Units (b) Number i Units Units i (c) Number

A solid spherical ball starts from rest at an initial height of 1.7 m, and rolls down an incline. The ball's mass is 3.4 kg and its radius is 17.5 cm. What is the ball's final center of mass (translational) speed (in m/s)?

Two 3.50 kg balls are attached to the ends of a thin rod of length 36.0 cm and negligible mass. The rod is free to rotate in a vertical plane without friction about a horizontal axis through its center. With the rod initially horizontal (the figure), a 42.0 g wad of wet putty drops onto one of the balls, hitting it with a speed of 3.25 m/s and then sticking to it. (a) What is the angular speed of the system just after the putty wad hits? (b) What is the ratio of the kinetic energy of the system after the collision to that of the putty wad just before? (c) Through what angle (deg) will the system rotate before it momentarily stops? Putty wad Rotation axis

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

Needs Complete typed solution with 100 % accuracy.

One end of a massless rigid rod of length is attached to a wooden block of mass M resting on a frictionless, horizontal tabletop, and the other end is attached to the table through a pivot (see figure below). A bullet of mass m traveling with a speed v in a direction perpendicular to the rod and parallel to the table impacts the block and embeds itself inside. (a) What is the angular momentum of this system around a vertical axis through the pivot after the collision? (Use any variable or symbol stated above as necessary. Enter your answer as an expression for magnitude.) L = M (b) What is the fraction of the bullet's initial kinetic energy that is lost to internal energy during the collision? (Use any variable or symbol stated above as necessary. Enter your answer as an expression for magnitude.) AK K;

Two 4.80 kg balls are attached to the ends of a thin rod of length 40.0 cm and negligible mass. The rod is free to rotate in a vertical plane without friction about a horizontal axis through its center. With the rod initially horizontal (the figure), a 690 g wad of wet putty drops onto one of the balls, hitting it with a speed of 4.21 m/s and then sticking to it. (a) What is the angular speed of the system just after the putty wad hits? (b) What is the ratio of the kinetic energy of the system after the collision to that of the putty wad just before? (c) Through what angle (deg) will the system rotate before it momentarily stops? Putry wad Rotation axis (a) Number Units (b) Number Units (c) Number Units