Consider the plate shown in the figure below. The platea has a thickness of 1 m and a density of 1000 kg/m². a. Calculate the total mass of the plate. c. Calculate the plate's moment of inertia about the z-axis passing t b. Calculate the x and y coordinates of the plate's center of grain d. Calculate the plate's moment of inertia through an axis parle through the plate's center of gravity.

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 9.78P: The L806010-mm structural angle has the following cross-sectional properties:...
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Consider the plate shown in the figure below. The plate the
1. 1
has a thickness of 1 m and a density of 1000 kg/m³.
a. Calculate the total mass of the plate.
b. Calculate the x and y coordinates of the plate's center of grain
c. Calculate the plate's moment of inertia about the z-axis passing
d. Calculate the plate's moment of inertia through an avis parle we
through the plate's center of gravity.
thickness of 1m
4m
V
0
4m
Transcribed Image Text:Consider the plate shown in the figure below. The plate the 1. 1 has a thickness of 1 m and a density of 1000 kg/m³. a. Calculate the total mass of the plate. b. Calculate the x and y coordinates of the plate's center of grain c. Calculate the plate's moment of inertia about the z-axis passing d. Calculate the plate's moment of inertia through an avis parle we through the plate's center of gravity. thickness of 1m 4m V 0 4m
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