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: F, = 48.0 [N], %3D F2 = 50.0 [N], and F3 = 42.0 [N], with the directions shown in the figure below. 1 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), %3D 12 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]? E.

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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],
%3|
F2 = 50.0 [N], and F3 = 42.0 [N], with the directions shown in the figure below.
%3D
%3D
1
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),
12
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]?
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], %3| F2 = 50.0 [N], and F3 = 42.0 [N], with the directions shown in the figure below. %3D %3D 1 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), 12 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]?
士一王S;
A ) set convention for the direction of Torgue:
clock wise cew): positive
counter- clock wise cccW); megative
2) use geometry + get "r".
3) Torque ; izFxF
Transcribed Image Text:士一王S; A ) set convention for the direction of Torgue: clock wise cew): positive counter- clock wise cccW); megative 2) use geometry + get "r". 3) Torque ; izFxF
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