6. You are designing a pulley/counterweight system to lift fuel rods in and out of a nuclear reactor. The fuel rods have mass of 2M and the counterweight has a mass of 1.5M. The mass and friction of the pulley are negligible. The rods are initially at rest how fast are they moving after 2M block has dropped a distance H? a. Determine the speed using conservation of mechanical energy. 1.5M 2M b. Repeat the problem using Newton's 2nd law and constant acceleration kinematics. Show that you get the same answer as in (a).
6. You are designing a pulley/counterweight system to lift fuel rods in and out of a nuclear reactor. The fuel rods have mass of 2M and the counterweight has a mass of 1.5M. The mass and friction of the pulley are negligible. The rods are initially at rest how fast are they moving after 2M block has dropped a distance H? a. Determine the speed using conservation of mechanical energy. 1.5M 2M b. Repeat the problem using Newton's 2nd law and constant acceleration kinematics. Show that you get the same answer as in (a).
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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Expert Solution
Step 1
a)
Let speed of both is v after moving by H
By energy conservation
(1/2)(1.5M+2M)v2 = 2MgH - 1.5gH
3.5v2 = gH
v = √(2gH/7)
b) by Newton's law
By fbd of system
acceleration (a) = (2Mg-1.5Mg)/(2M+1.5M)
a = g/7
Now by equation of motion
v2 = u2 +2as
v2 = 0 + 2(g/7)H
v = √(2gH/7)
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