A cylindrical rod of uniform density is located with its center at the origin, and its...
A cylindrical rod of uniform density is located with its center at the origin, and its axis along the x axis. It rotates about its center in the xy plane, making one revolution every 0.02 s. The rod has a radius of 0.06 m, length of 0.4 m, and mass of 6 kg. What is the rotational kinetic energy of the rod? J
(a) A uniform disk of mass 14 kg, thickness 0.5 m, and radius 0.4 m is located at the origin, oriented with its axis along the y axis. It rotates clockwise around its axis when viewed from above (that is, you stand at a point on the +y axis and look toward the origin at the disk). The disk makes one complete rotation every 0.5 s. What is the rotational angular momentum of the disk? What is the rotational kinetic...
Calculate the angular momentum for a rotating disk, sphere, and rod. (a) A uniform disk of mass 16 kg, thickness 0.5 m, and radius 0.9 m is located at the origin, oriented with its axis along the y axis. It rotates clockwise around its axis when viewed from above (that is, you stand at a point on the +y axis and look toward the origin at the disk). The disk makes one complete rotation every 0.7 s. What is the...
A cylindrical rod of uniform density is located with its centre at the origin and its axis along the x axis. It rotates about its centre in the xy plane, making one revolution every 0.02 s. The rod has a radius of 0.02 m, length of 0.2 m, and mass of 5 kg. What is the rotational kinetic energy of the rod?
A uniform thin rod of length 0.95 m and mass 1.2 kg lies in a horizontal plane and rotates in that plane about a pivot at one of its ends. The rod makes one rotation every 0.39 second and rotates clockwise as viewed from above its plane of rotation. A)Find the magnitude of the rod’s angular momentum about its rotation axis, in units of kgm^/s. b) find the rotational kinetic energy, in joules, of the rod described in part (a)....
In lecture we found that the center of mass of a rod with a non-uniform density profile (where the density changes linearly from one end to the other, doubling in density from one end to the next) was 5/9L when measured from the less-dense end. We also found that the rotational inertia around the less-dense end came out to be 7/18ML2. Use these facts and the parallel-axis theorem to find the rotational inertia of this rod around its center of...
A uniform rod rotates in a horizontal plane about a vertical axis through one end. The rod is 12.00 m long, weighs 20.00 N, and rotates at 350 rev/min clockwise when seen from above. Calculate its rotational inertia about the axis of rotation. Tries 0/5 Calculate the angular momentum of the rod about that axis. A man stands at the center of a platform that rotates without friction with an angular speed of 1.2 rev/s. His arms are outstretched, and...
3. 3D stuff. cylindrical coordinates. A cone of uniform mass density Po has its tip at the origin and its axis of symmetry is aligned with the z axis. The base of the cone is at H and has radius R. Draw a big picture! Compute the following things a. the total mass of the cone. b. the center of mass of the cone. c. its moment of inertia I2z around the z axis
A conducting rod of length / lies in the xy-plane with one end fixed at the origin and rotates about the z-axis with angular velocity o in a uniform magnetic flux density of strength Bo in the +-direction. Find the EMF induced across the ends of the conducting rod.
A propeller is modeled as five identical uniform rods extending radially from its axis. The length and mass of each rod are 0.753 m and 2.67 kg, respectively. When the propellor rotates at 513 rpm (revolutions per minute), what is its rotational kinetic energy? rotational kinetic energy: