Physics Fundamentals
2nd Edition
ISBN: 9780971313453
Author: Vincent P. Coletta
Publisher: PHYSICS CURRICULUM+INSTRUCT.INC.
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Question
Chapter 5, Problem 51P
To determine
To show: That the y coordinate of the center of mass of two arbitrary bodies can be expressed as the following expression:-
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a) A metal sign has a shape of a right triangle whose dimensions are shown in figure. Determine the y coordinate
of the centre of mass, assuming that the triangular sign has a uniform density and total mass M.
b.
b) Two friends of masses 40 kg and 60 kg are standing at the two extremes of a 6 m long boat of mass 100 kg.
Sistem is at rest. Neglect the friction between water and boat. Find the displacement of the boat when both men
move and interchange their positions.
40 kg
60 kg
B
100 kg
6m
Find the mass and the indicated coordinates of the center of mass of the solid region Q of density p bounded by
the graphs of the equations.
Find y using p(x, y, z) = ky.
Q: 9х + 9y + 5z %3D 45, х %3 0, у %3D 0, z %3D 0
45, х %3D 0, у %3D0, z %3D 0
m =
%D
Problem 23: Three beads are placed on the vertices of an equilateral triangle of side d = 4.1 cm. The first bead of mass m1 = 135 g is placed on the top vertex. The second bead of mass m2= 55 g is placed on the left vertex. The third bead of mass m3 = 85 g is placed on the right vertex.
Part (a) Write a symbolic equation for the horizontal component of the center of mass relative to the left vertex of the triangle.
Part (c) Write a symbolic equation for the vertical component of the center of mass relative to the base of the triangle.
Chapter 5 Solutions
Physics Fundamentals
Ch. 5 - Prob. 1QCh. 5 - Prob. 2QCh. 5 - Prob. 3QCh. 5 - Prob. 4QCh. 5 - Prob. 5QCh. 5 - Prob. 6QCh. 5 - Prob. 7QCh. 5 - Prob. 8QCh. 5 - Prob. 9QCh. 5 - Prob. 10Q
Ch. 5 - Prob. 11QCh. 5 - Prob. 12QCh. 5 - Prob. 13QCh. 5 - Prob. 14QCh. 5 - Prob. 15QCh. 5 - Prob. 16QCh. 5 - Prob. 1PCh. 5 - Prob. 2PCh. 5 - Prob. 3PCh. 5 - Prob. 4PCh. 5 - Prob. 5PCh. 5 - Prob. 6PCh. 5 - Prob. 7PCh. 5 - Prob. 8PCh. 5 - Prob. 9PCh. 5 - Prob. 10PCh. 5 - Prob. 11PCh. 5 - Prob. 12PCh. 5 - Prob. 13PCh. 5 - Prob. 14PCh. 5 - Prob. 15PCh. 5 - Prob. 16PCh. 5 - Prob. 17PCh. 5 - Prob. 18PCh. 5 - Prob. 19PCh. 5 - Prob. 20PCh. 5 - Prob. 21PCh. 5 - Prob. 22PCh. 5 - Prob. 23PCh. 5 - Prob. 24PCh. 5 - Prob. 25PCh. 5 - Prob. 26PCh. 5 - Prob. 27PCh. 5 - Prob. 28PCh. 5 - Prob. 29PCh. 5 - Prob. 30PCh. 5 - Prob. 31PCh. 5 - Prob. 32PCh. 5 - Prob. 33PCh. 5 - Prob. 34PCh. 5 - Prob. 35PCh. 5 - Prob. 36PCh. 5 - Prob. 37PCh. 5 - Prob. 38PCh. 5 - Prob. 39PCh. 5 - Prob. 40PCh. 5 - Prob. 41PCh. 5 - Prob. 42PCh. 5 - Prob. 43PCh. 5 - Prob. 44PCh. 5 - Prob. 45PCh. 5 - Prob. 46PCh. 5 - Prob. 47PCh. 5 - Prob. 48PCh. 5 - Prob. 49PCh. 5 - Prob. 50PCh. 5 - Prob. 51PCh. 5 - Prob. 52PCh. 5 - Prob. 53PCh. 5 - Prob. 54PCh. 5 - Prob. 55P
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