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1) As a project, student's construct a mobile representing some of the major food groups. Their completed artwork is shown below. Find the masses m1, m2, m3that are required for a perfectly balanced mobile. Assume that strings and the horizontal rods have negligible mass 18 cm 31 cm 6.0 cm 24 cm 0.30 kg 12 cm 18 cm MILK

1) As a project, student's construct a mobile representing some of the major food groups. Their completed artwork is shown below. Find the masses m1, m2, m3that are required for a perfectly balanced mobile. Assume that strings and the horizontal rods have negligible mass 18 cm 31 cm 6.0 cm 24 cm 0.30 kg 12 cm 18 cm MILK

College Physics
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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X1m1 + X2m2 Xcg m1 + m2 1) As a project, student's construct a mobile representing some of the major food groups. Their completed artwork is shown below. Find the masses m,, m2, M3that are required for a perfectly balanced mobile. Assume that strings and the horizontal rods have negligible mass 18 cm 31 ст O 20 Kg 6.0 cm 24 cm 0.30 kg 12 cm 18 cm MILIC Strategy: We can find all three unknown masses by repeatedly applying the condition for balance m1x1 = M2X2 First we apply the balance condition to m, and m2, with the distance x, = 12 cm and x2 = 18 cm there by giving relationship between m, and m2 To get a second relation between mị and m2, we apply the balance conditions again at the next higher level of mobile, That is the mass (m, + m2) at the distance 6 cm must balance the mass 0.30Kg at the distance of 24 cm. These two conditions determine m, and m2 To find mass m3, we again apply the balance condition, this time with mass (m, + m2 + 0.30kg + 0.20kg) At the distance 18cm, and the mass m3 at the distance 31cm
Transcribed Image Text:X1m1 + X2m2 Xcg m1 + m2 1) As a project, student's construct a mobile representing some of the major food groups. Their completed artwork is shown below. Find the masses m,, m2, M3that are required for a perfectly balanced mobile. Assume that strings and the horizontal rods have negligible mass 18 cm 31 ст O 20 Kg 6.0 cm 24 cm 0.30 kg 12 cm 18 cm MILIC Strategy: We can find all three unknown masses by repeatedly applying the condition for balance m1x1 = M2X2 First we apply the balance condition to m, and m2, with the distance x, = 12 cm and x2 = 18 cm there by giving relationship between m, and m2 To get a second relation between mị and m2, we apply the balance conditions again at the next higher level of mobile, That is the mass (m, + m2) at the distance 6 cm must balance the mass 0.30Kg at the distance of 24 cm. These two conditions determine m, and m2 To find mass m3, we again apply the balance condition, this time with mass (m, + m2 + 0.30kg + 0.20kg) At the distance 18cm, and the mass m3 at the distance 31cm
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