A vertical rectangular object of uniform mass M = 8 kg has sides a = 0,21 m and b = 0,67 m. It is pivoted from point O as shown in the figure below. If a constant force of F = 118 N along the diagonal is applied as shown below, determine the angular acceleration of the rectangle in SI units at the instant shown. Express your answer using one decimal place. Please use the convention: Clockwise (+), Counterclockwise (-) when expressing your answer. Hint 1: The moment of inertia of a uniform disk about an axis of rotation passing through the center of mass (CM) is Icm = 1⁄2M(a² + b²). Hint 2: Don't forget the force of gravity!!! Take g = 9.80 m/s². a CM b 0 F
A vertical rectangular object of uniform mass M = 8 kg has sides a = 0,21 m and b = 0,67 m. It is pivoted from point O as shown in the figure below. If a constant force of F = 118 N along the diagonal is applied as shown below, determine the angular acceleration of the rectangle in SI units at the instant shown. Express your answer using one decimal place. Please use the convention: Clockwise (+), Counterclockwise (-) when expressing your answer. Hint 1: The moment of inertia of a uniform disk about an axis of rotation passing through the center of mass (CM) is Icm = 1⁄2M(a² + b²). Hint 2: Don't forget the force of gravity!!! Take g = 9.80 m/s². a CM b 0 F
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:A vertical rectangular object of uniform mass M = 8 kg has sides a = 0,21 m and
b = 0,67 m. It is pivoted from point O as shown in the figure below. If a constant force of
F = 118 N along the diagonal is applied as shown below, determine the angular acceleration
of the rectangle in SI units at the instant shown. Express your answer using one decimal place.
Please use the convention: Clockwise (+), Counterclockwise (-) when expressing your answer.
Hint 1: The moment of inertia of a uniform disk about an axis of rotation passing through the
center of mass (CM) is ICM = M(a² + b²).
Hint 2: Don't forget the force of gravity!!! Take g = 9.80 m/s².
a
CM
b
0
F
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