A 2.2 kg disk traveling at 2.9 m/s strikes a 1.3 kg stick of length 4.0 m that is lying flat on nearly frictionless ice as shown in the overhead view of figure (a). disk strikes the stick at a distance r = 0.90 m from the stick's center. Assume the collision is elastic and the disk does not deviate from its original line of motion. Find the translational speed of the disk, the translational speed of the stick, and the angular speed of the stick after the collision. The moment of inertia of the stick about its center of mass is 1.73 kg · m². Overhead view of a disk striking a stick in an elastic collision. (a) Before the collision, the disk moves toward the stick. (b) The collision causes the stick rotate and move to the right. Before a After
A 2.2 kg disk traveling at 2.9 m/s strikes a 1.3 kg stick of length 4.0 m that is lying flat on nearly frictionless ice as shown in the overhead view of figure (a). disk strikes the stick at a distance r = 0.90 m from the stick's center. Assume the collision is elastic and the disk does not deviate from its original line of motion. Find the translational speed of the disk, the translational speed of the stick, and the angular speed of the stick after the collision. The moment of inertia of the stick about its center of mass is 1.73 kg · m². Overhead view of a disk striking a stick in an elastic collision. (a) Before the collision, the disk moves toward the stick. (b) The collision causes the stick rotate and move to the right. Before a After
Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter9: Dynamics Of A System Of Particles
Section: Chapter Questions
Problem 9.23P
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Step 1: Given data
VIEWStep 2: Derivation of the expressions for the velocity and angular velocity after the collision
VIEWStep 3: Calculation of the velocity of the disk and stick after the collision
VIEWStep 4: Calculation of momentum of the system
VIEWStep 5: Calculation of the energy of the system and energy of each object.
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