a) Calculate the rotational inertia of a evenly-distributed quarterstaff of mass 1.00 kg and length 2.0 m about an axis perpendicular to the staff and located at the staff's center. Please, for full credit, show all of your work. ( Note: Treat the quarterstaff as a rod, with the rotation axis perpendicular to the body). b) Calculate the rotational kinetic energy of the quarterstaff above rotat- ing at an angular velocity of 0.75 rev/second about an axis perpendicular to the staff around its center (I.e. use the normal moment of inertia for a rod through its center). Please, for full credit, show all of your work.

a) Calculate the rotational inertia of a evenly-distributed quarterstaff of mass 1.00 kg and length 2.0 m about an axis perpendicular to the staff and located at the staff's center. Please, for full credit, show all of your work. ( Note: Treat the quarterstaff as a rod, with the rotation axis perpendicular to the body). b) Calculate the rotational kinetic energy of the quarterstaff above rotat- ing at an angular velocity of 0.75 rev/second about an axis perpendicular to the staff around its center (I.e. use the normal moment of inertia for a rod through its center). Please, for full credit, show all of your work.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Use the worked example above to help you solve this problem. A merry-go-round modeled as a disk of mass M = 8.50 x 10¹ kg and radius R = 2.30 m is rotating in a horizontal plane about a frictionless vertical axle (see figure). (a) After a student with mass m = 80.0 kg jumps onto the merry-go-round, the system's angular speed decreases to 2.10 rad/s. If the student walks slowly from the edge toward the center, find the angular speed of the system when she reaches a point 0.490 m from the center. Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. rad/s (b) Find the change in the system's rotational kinetic energy caused by her movement to the center. X Your response differs from the correct answer by more than 10%. Double check your calculations. J (c) Find the work done on the student as she or= 0.490 m.
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PLEASE SOME ANSWER THIS ASAP AND SHOW ALL THE WORK PLS A merry-go-round in a playground (spinning horizontal disk) of mass M and radius R is initially rotating inthe x/y plane at a constantω0around a fixed vertical axis through the middle of the disk. A girl of mass m runstowards italong a path that is tangent to the rim and then jumps on the rim and holds on. The disk spinsfasterafter she jumps on. Treat the girl as a point mass.a) Choose one: Which of the following is conserved for the disk+girl system before and after she jumps on? (i) mechanical energy, ii) angular momentum, iii) linear momentum. iv) 2 or more of the above. b) Draw an overhead sketch of the disk with the disk rotating such that ω0 is in the +z direction (out). Show thevelocity vector of thegirl right before she jumps on. Solve for the necessary speed v that she must have in order for the disk to tripleits angular velocity after she jumps on. Your expression should depend on ω0, m, M, andR. Simplify it as much as…
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