A vertical rectangular object of uniform mass M=10.5kg has sides a=0.7m and b-2.7m. It is pivoted from point O as shown in the figure below. If a constant force of F=58N, making an angle of B=830 with the diagonal, is applied, determine the angular acceleration of the rectangle at the instant shown in the figure using SI units. Express your answer with two decimal places. Please use the convention: Clockwise (+), Counterclockwise (-) when expressing your answer. Hint1: The moment of inertia of the rectangle about an axis of rotation passing through its center of mass is 1 M(a?+b?) 12 I CM= Hint2: Don't forget the force of gravity!!! Take g=9.80 m/s?. F СМ a 0. b.

Principles of Physics: A Calculus-Based Text
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Chapter10: Rotational Motion
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A vertical rectangular object of uniform mass M=10.5kg has sides a=0.7m and b=2.7m. It is pivoted from point O as shown in the figure below. If a constant
force of F=58N, making an angle of B=830 with the diagonal, is applied, determine the angular acceleration of the rectangle at the instant shown in the figure
using Sl units. Express your answer with two decimal places. Please use the convention: Clockwise (+), Counterclockwise (-) when expressing your answer.
Hint1: The moment of inertia of the rectangle about an axis of rotation passing through its center of mass is
1
I CHF Ma?+b?)
12
Hint2: Don't forget the force of gravity!!! Take g=9.80 m/s².
F
CM
a
b
Transcribed Image Text:A vertical rectangular object of uniform mass M=10.5kg has sides a=0.7m and b=2.7m. It is pivoted from point O as shown in the figure below. If a constant force of F=58N, making an angle of B=830 with the diagonal, is applied, determine the angular acceleration of the rectangle at the instant shown in the figure using Sl units. Express your answer with two decimal places. Please use the convention: Clockwise (+), Counterclockwise (-) when expressing your answer. Hint1: The moment of inertia of the rectangle about an axis of rotation passing through its center of mass is 1 I CHF Ma?+b?) 12 Hint2: Don't forget the force of gravity!!! Take g=9.80 m/s². F CM a b
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