wo balls of mass ma and mp are connected by a massless rod of length L. The two vertical ashed lines in the figure, below, represent two different axes of rotation (axes a and b). These xes are parallel to each other and perpendicular to the rod. If the ratio between the two homents of inertia, as measured relative to each axis, is = 3. Ib a. Find the ratio of the masses (ma/mp).

International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:Andrew Pytel And Jaan Kiusalaas
Chapter9: Moments And Products Of Inertia Of Areas
Section: Chapter Questions
Problem 9.19P
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Two balls of mass ma and m, are connected by a massless rod of length L. The two vertical
dashed lines in the figure, below, represent two different axes of rotation (axes a and b). These
axes are parallel to each other and perpendicular to the rod. If the ratio between the two
moments of inertia, as measured relative to each axis, is 4 = 3.
Ib
a. Find the ratio of the masses (ma/mp).
b. Find the distance from ball a to the system's center of mass.
Axis a
Axis b
L-
ma
Two balls connected by a massless rod of length L rotate around the two axes shown.
Transcribed Image Text:Two balls of mass ma and m, are connected by a massless rod of length L. The two vertical dashed lines in the figure, below, represent two different axes of rotation (axes a and b). These axes are parallel to each other and perpendicular to the rod. If the ratio between the two moments of inertia, as measured relative to each axis, is 4 = 3. Ib a. Find the ratio of the masses (ma/mp). b. Find the distance from ball a to the system's center of mass. Axis a Axis b L- ma Two balls connected by a massless rod of length L rotate around the two axes shown.
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