A 6.20 [kg] square plate has side length of 3.25 [m] and is pivoted about an axis through its center and perpendicular to the plate. The following forces act on the plate: F1 = 48.0 [N], F2 = 50.0 [N], and F3 = 42.0 [N], with the directions shown in the figure below. %3D A. What is the net torque on the square plate due to the forces? F2 F1 B. What is the angular acceleration of the plate? Hint: The moment of inertia for a plate of length a and width b rotating about its center is Icom =M(a² + b²), where M is the mass of the plate. C. If the plate is initially at rest, what is its angular 45° velocity after 5.00 [s]?

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Chapter10: Fixed-axis Rotation
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A 6.20 [kg] square plate has side length of 3.25 [m] and is pivoted about an axis through its
center and perpendicular to the plate. The following forces act on the plate: F1 = 48.0 [N],
F2
= 50.0 [N], and F = 42.0 [N], with the directions shown in the figure below.
A. What is the net torque on the square plate due to the forces?
F2
F1
B. What is the angular acceleration of the plate?
Hint: The moment of inertia for a plate of length a
and width b rotating about its center is Icom =M(a² + b²),
where M is the mass of the plate.
C. If the plate is initially at rest, what is its angular
45°
velocity after 5.00 [s]?
F2
Transcribed Image Text:A 6.20 [kg] square plate has side length of 3.25 [m] and is pivoted about an axis through its center and perpendicular to the plate. The following forces act on the plate: F1 = 48.0 [N], F2 = 50.0 [N], and F = 42.0 [N], with the directions shown in the figure below. A. What is the net torque on the square plate due to the forces? F2 F1 B. What is the angular acceleration of the plate? Hint: The moment of inertia for a plate of length a and width b rotating about its center is Icom =M(a² + b²), where M is the mass of the plate. C. If the plate is initially at rest, what is its angular 45° velocity after 5.00 [s]? F2
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