Three particles are placed on the vertices of an equilateral triangle of side d = 3.1 cm. The first particle of mass m1 = 125 g is placed on the top vertex. The second particle of mass m2 = 55 g is placed on the left vertex. The third particle of mass m3 = 75 g is placed on the right vertex d Write an equation for the horizontal component of the center of mass relative to the left vertex of the triangle and use it to solve for this horizontal component in centimeters. Write an equation for the vertical component of the center of mass relative to the base of the triangle and use it to solve for this vertical component in centimeters.

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter9: Dynamics Of A System Of Particles
Section: Chapter Questions
Problem 9.35P
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Three particles are placed on the vertices of an equilateral triangle of side d = 3.1 cm. The first particle of
mass m1 = 125 g is placed on the top vertex. The second particle of mass m2 = 55 g is placed on the left
vertex. The third particle of mass m3 = 75 g is placed on the right vertex
'm,
d
Write an equation for the horizontal component of the center of mass relative to the left vertex of the
triangle and use it to solve for this horizontal component in centimeters.
Write an equation for the vertical component of the center of mass relative to the base of the triangle
and use it to solve for this vertical component in centimeters.
Transcribed Image Text:Three particles are placed on the vertices of an equilateral triangle of side d = 3.1 cm. The first particle of mass m1 = 125 g is placed on the top vertex. The second particle of mass m2 = 55 g is placed on the left vertex. The third particle of mass m3 = 75 g is placed on the right vertex 'm, d Write an equation for the horizontal component of the center of mass relative to the left vertex of the triangle and use it to solve for this horizontal component in centimeters. Write an equation for the vertical component of the center of mass relative to the base of the triangle and use it to solve for this vertical component in centimeters.
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