Related questions
Question
Transcribed Image Text:A uniform rod of mass 210 g and length 100 cm is free to rotate in a horizontal plane around a fixed vertical axis through its center, perpendicular to its length. Two small beads, each of
mass 22 g, are mounted in grooves along the rod. Initially, the two beads are held by catches on opposite sides of the rad's center, 12 cm from the axis of rotation. With the beads in this
position, the rod is rotating with an angular velocity of 16.0 rad/s. When the catches are released, the beads slide outward along the rod.
(a) What is the rod's angular velocity (in rad/s) when the beads reach the ends of the rod? (Indicate the direction with the sign of your answer.)
rad/s
(b) What is the rod's angular velocity (in rad/s) if the beads fly off the rod in a tangential, straight line path? (Indicate the direction with the sign of your answer.)
rad/s
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution
Trending nowThis is a popular solution!
Step by stepSolved in 3 steps with 2 images
Knowledge Booster
Similar questions
- The figure shows three 0.0186 kg particles that have been glued to a rod of length L=5.67 cm and negligible mass. The assembly can rotate around a perpendicular axis through point O at the left end. If we remove one particle (that is, 33% of the mass), by what percentage does the rotational inertia of the assembly around the rotation axis decrease when that removed particle is (a) the innermost one and (b) the outermost one? Axis (a) Number Units (b) Number Unitsarrow_forwardA uniform thin rod of length 0.17 m and mass 4.5 kg can rotate in a horizontal plane about a vertical axis through its center. The rod is at rest when a 4.4 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 0 = 60° with the rod. If the bullet lodges in the rod and the angular velocity of the rod is 10.0 rad/s immediately after the collision, what is the bullet's speed just before impact? Number Units Axis earrow_forwardA uniform rod of mass 0.03 kg and 0.2 m long rotates in a horizontal plane about a fixed vertical axis through its center. Two small bodies, each of mass 0.02 kg are mounted so that they can slide along the rod. They are initially held by clips at positions 0.05 cm on each side of the center and the system is rotating at 15 rev/min. Without otherwise changing the system, the clips are released and the masses slide outward along the rod toward the ends. What is the angular velocity of the system at the instant when the small masses reach the ends of the rod?arrow_forward
- A steel disc with a mass of 1.505 kg and a diameter of 8.00 cm is rotating with angular speed 4.75 rad/s. A second, aluminum disc of the same diameter but with mass 527 g and rotating with angular speed -0.07 rad/s is dropped on to the steel disc and both come to a common angular speed. What is this final angular speed?arrow_forwardA solid disk rotates in the horizontal plane at an angular velocity of 0.0652 rad/s with respect to an axis perpendicular to the disk at its center. The moment of inertia of the disk is 0.113 kg·m2. From above, sand is dropped straight down onto this rotating disk, so that a thin uniform ring of sand is formed at a distance of 0.393 m from the axis. The sand in the ring has a mass of 0.487 kg. After all the sand is in place, what is the angular velocity of the disk?arrow_forwardA 0.45 kg tetherball is attached to a pole and rotating in a horizontal circle of radius r₁ = 1.4 m and is circling at angular speed = 1.42 rad/s. As the rope wraps around the pole the radius of the circle shortens and became r2 = 0.9 m, that decreases the moment of inertia of the rotating tetherball. What is the moment of inertia of the rotating ball before the rope is wrapped around the pole measured in kgm² (answer with 3 decimal places)?arrow_forward
- A thin stick of mass 0.2 kg and length L = 0.5 m is attached to the rim of a metal disk of mass M = 2.0 kg and radius R = 0.3 m . The stick is free to rotate around a horizontal axis through its other end (see the following figure). (a) If the combination is released with the stick horizontal, what is the speed of the center of the disk when the stick is vertical? (b) What is the acceleration of the center of the disk at the instant the stick is released? (c) At the instant the stick passes through the vertical?arrow_forwardA uniform spherical shell of mass M = 6.0 kg and radius R = 18.0 cm rotates about a vertical axis on frictionless bearings (see the figure). A massless cord passes around the equator of the shell, over a pulley of rotational inertia I = 3.60×10-3 kg m2 and radius r = 6.0 cm, and its attached to a small object of mass m = 4.0 kg. There is no friction on the pulley's axle; the cord does not slip on the pulley. What is the speed of the object after it has fallen a distance h = 1.1 m from rest: Use work - energy considerationsarrow_forwardModern 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 rotating. A wind turbine has a total of 3 blades. Each blade has a mass of m = 5500 kg distributed uniformly along its length and extends a distance r = 44 m from the center of rotation. The turbine rotates with a frequency of f = 15 rpm. Calculate the angular momentum of the wind turbine, in units of kilogram meters squared per second.arrow_forward
- The figure shows a device that can be used to measure the speed of a bullet. The device consists of two rotating disks, separated by a distance of d = 0.872 m, and rotating with an angular speed of 101 rad/s. The bullet first passes through the left disk and then through the right disk. It is found that the angular displacement between the two bullet holes is = 0.268 rad. From these data, determine the speed of the bullet. Number IN Bullet Units Motorarrow_forwardIn the diagram, disk 1 has a moment of inertia of 4.2 kg · m2 and is rotating in the counterclockwise direction with an angular velocity of 6.5 rad/s about a frictionless rod passing through its center. A second disk rotating clockwise with an angular velocity of 8.7 rad/s falls from above onto disk 1. The two then rotate as one in the clockwise direction with an angular velocity of 2.4 rad/s. Determine the moment of inertia, in kg · m2, of disk 2.arrow_forwardA uniform thin rod of length 0.73 m and mass 3.0 kg can rotate in a horizontal plane about a vertical axis through its center. The rod is at rest when a 4.4 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 0 = 60° with the rod. If the bullet lodges in the rod and the angular velocity of the rod is 11.0 rad/s immediately after the collision, what is the bullet's speed just before impact? Ахis Number Unitsarrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios