You are working in a factory that produces long bars of copper with a square cross section. In one section of the production process, the bars must slide down an inclined plane of angle #. It has been found that the bars travel with too high a speed and become dented or bent when they arrive at the bottom of the plane and must be discarded. In order to prevent this waste, you devise a way to deliver the bars at the bottom of the plane at a lower speed. You replace the inclined plane with a pair of parallel metal rails, shown in the figure below, separated by a distance L. R BM The smooth bars of mass m will slide down the smooth rails, with the length of the bar always perpendicular to the rails. The rails are immersed in a magnetic field of magnitude 8, and a resistor of resistance R is connected between the upper ends of the rails. Determine the magnetic field necessary in your device so that the bars will arrive at the bottom of the plane with a maximum speed Vmax (Enter the magnitude. Use any variable or symbol stated above along with the following as necessary: g.) M Rmg tan(0) B²Fcos (0) x Apply the particle in equilibrium model to the bar as it slides, with the forces on the bar being the gravitational force and the magnetic force.
You are working in a factory that produces long bars of copper with a square cross section. In one section of the production process, the bars must slide down an inclined plane of angle #. It has been found that the bars travel with too high a speed and become dented or bent when they arrive at the bottom of the plane and must be discarded. In order to prevent this waste, you devise a way to deliver the bars at the bottom of the plane at a lower speed. You replace the inclined plane with a pair of parallel metal rails, shown in the figure below, separated by a distance L. R BM The smooth bars of mass m will slide down the smooth rails, with the length of the bar always perpendicular to the rails. The rails are immersed in a magnetic field of magnitude 8, and a resistor of resistance R is connected between the upper ends of the rails. Determine the magnetic field necessary in your device so that the bars will arrive at the bottom of the plane with a maximum speed Vmax (Enter the magnitude. Use any variable or symbol stated above along with the following as necessary: g.) M Rmg tan(0) B²Fcos (0) x Apply the particle in equilibrium model to the bar as it slides, with the forces on the bar being the gravitational force and the magnetic force.
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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Transcribed Image Text:You are working in a factory that produces long bars of copper with a square cross section. In one section of the production process, the bars must slide down an inclined plane of angle é. It has been
found that the bars travel with too high a speed and become dented or bent when they arrive at the bottom of the plane and must be discarded. In order to prevent this waste, you devise a way to
deliver the bars at the bottom of the plane at a lower speed. You replace the inclined plane with a pair of parallel metal rails, shown in the figure below, separated by a distance l.
TA
Rmg tan(9)
B²Fcos(0)
M
The smooth bars of mass m will slide down the smooth rails, with the length of the bar always perpendicular to the rails. The rails are immersed in a magnetic field of magnitude 8, and a resistor of
resistance R is connected between the upper ends of the rails. Determine the magnetic field necessary in your device so that the bars will arrive at the bottom of the plane with a maximum speed
"max
(Enter the magnitude. Use any variable or symbol stated above along with the following as necessary: g.)
x
Apply the particle in equilibrium model to the bar as it slides, with the forces on the bar being the gravitational force and the magnetic force.
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