A non-uniform rod of mass M, length L and linear mass density 1 = 2x² is at a rotational equilibrium as the figure * CM shows [not drawn to scale]. The mass on the left (m) is hanging from a distance r from the wedge. In addition, r2 denotes the distance between the center of the mass of the rod and the wedge. Derive an algebraic representation for r2 ONLY as a function of M, L, m. Show work [Hint: first find Xm and then find 2 ст relationships between r¡, r2]

University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter2: Vectors
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[Q1-Lab/Home ]
A non-uniform rod of mass M, length L and linear mass
density 1 = 2x² is at a rotational equilibrium as the figure
%3D
*CM
shows [not drawn to scale]. The mass on the left (m¡) is
m,
hanging from a distance
from the wedge. In addition,
r, denotes the distance between the center of the mass of
the rod and the wedge. Derive an algebraic
representation for r, ONLY as a function of M, L, m,. Show work [Hint: first find Xm and then find 2
ст
relationships between r¡, r,]
Transcribed Image Text:[Q1-Lab/Home ] A non-uniform rod of mass M, length L and linear mass density 1 = 2x² is at a rotational equilibrium as the figure %3D *CM shows [not drawn to scale]. The mass on the left (m¡) is m, hanging from a distance from the wedge. In addition, r, denotes the distance between the center of the mass of the rod and the wedge. Derive an algebraic representation for r, ONLY as a function of M, L, m,. Show work [Hint: first find Xm and then find 2 ст relationships between r¡, r,]
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