M,R a = 0 14. A body consisted of an uniform rod of mass m and length L, and a disk of mass M and radius R can rotate a...
Figure 3 Uniform disk Uniform rod 3) Figure 3 illustrates a physical pendulum comprising a uniform disk having mass M and radius R and a rod having the length R and mass M. The disk is pivotally mounted with a friction-less horizontal axis of rotation that extends through the center of mass of the disk. The rod is fixedly attached to the edge of the disk and it extends vertically downward when the pendulum is in a state of static...
A system of two bodies consisting of a rod of mass m and length L, and a disk of mass M and radius R, moves in the x-y plane. The disk rotates about the axis attached to the rod at a distance b from its axis of rotation. The absolute angular velocity of the rod is 2, and the angular velocity of the disk relative to the rod is @. Determine the ratio E/Ho of the kinetic energy E of...
(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...
A disk of mass M and radius R is rotating with an angular velocity ω. A rod also of mass M but length 2R is initially not rotating. It is dropped vertically onto the rotating disk. After the collision, the disk and rod rotate together with an angular velocity of? What fraction of the initial kinetic energy was lost in the collision?
Q4 A ring of mass M and radius R is attached so that it can pivot asone of a rod of mass M and length 2R. the system is suspended by a pin at the other end of the rod and all in a uniform gravitational field,g; thus forming a double pendulum. The motion is restricted to a plane A) Show that the kinetic energy and potential energy can be written for small oscillations as: B) Find the natural frequencies...
Problem 2: The uniform rod of length, L, and mass, m, shown below, is released from rest and from an angle of 8- O (radians]. The rod then begins to rotate clockwise due to the force of gravity mE 12 Note that the moment of inertia of a rod about its center is when the A) Show that the magnitude of the angular velocity of the rod is löll- rod has rotated through θ s n/2 [radians]. (10 pts) forces...
A thin disk (radius R and mass M) attached to the top of a hollow cylinder (height & radius R and mass M) is wobbling while spinning. ←R-height-radius Derive an expression for the angular momentum L of the object lif its initial rotation vector ω ω|êut ω3ез. Assume that ω3 is large and nonzero, that ω! İs nonzero but small, and that ω2 is initially zero A thin disk (radius R and mass M) attached to the top of a...
A uniform thin rod of length 0.65 m and mass 3.4 kg can rotate in a horizontal plane about a vertical axis through its center. The rod is at rest when a 3.8 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 θ = 60° with the rod. If the bullet lodges in the rod and the angular velocity of the rod is 11.0 rad/s...
A uniform spherical shell of mass M = 15.0 kg and radius R = 0.370 m can rotate about a vertical axis on frictionless bearings (Fig. 10-44). A massless cord passesaround the equator of the shell, over a pulley of rotational inertia I = 0.170 kg·m2 and radius r = 0.130 m, and is attached to a small object of mass m = 2.40 kg.There is no friction on the pulley's axle; the cord does not slip on the pulley....
Part A The pendulum consists of a 14-kg uniform disk and a 3-kg unifom slender rod. It is released from rest in the position shown. Suppose that L#2m (Figure 1) Determine its angular velocity, measured clockwise, when it rotetes clockwise 90 Express your answer using three significant figures. Enter posltive value If the angular velocity ls clockwise and negatlive value If the angular velocity ls rad/s Figure 1 of 1 Submit Provide Feedback Next > .812 M 30N m Part...