WileyPLUS Hallday, Fundamentals of Physics, 100 Halliday, Fundamentals of Physic

Question

WileyPLUS Hallday, Fundamentals of Physics, 100 Halliday, Fundamentals of Physics, 10e FUNDAMENTAL PHYSICS (PHYS 225/226/227) 22 Rotational Chapter 11, Problem 061 Energy and Linear The uniform rod (length 0.855 m) in the figure rotates in the plane of the figure about an axis through one end, with a rotational inertia of 0.126 kg-m2. As the rod swings through its lowest position, it collides with a 0.263 kg putty wad that sticks to the end of the rod. If the rod's angular speed just before the collision is 2.20 rad/s, what is the angular speed of the rod-putty system immediately after the collision? Coter10rThe unifor 061 0 004 002 O4A 014 023 Rontation ais 040 the tolerance is +/-596 Review Score Review Results by Study NK TO SAPLE By accessing this Question Assistance, you will learn while you earn points based on the Point Potential Policy set by your instructor

Explanation / Answer

here,

length of rod , l = 0.855 m

rotational inertia of the rod , I = 0.126 kg.m^2

mass of putty , m = 0.263 kg

angular speed before the collison , w0 = 2.2 rad/s

let the final angular speed be w

using conservation of angular momentum

I * w0 = ( I + m * l^2) * w

0.126 * 2.2 = ( 0.126 + 0.263 * 0.855^2) * w

solving for w

w= 0.87 rad/s

the final angular speed is 0.87 rad/s

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