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A square metal plate with mass M=6.00 [kg] and side length 3.00 [m] is pivoted about an axis through point O at its center and perpendicular to the plate. Three forces of magnitude F1=36.0 [N], F2=24.0 [N], and F3=40.0 [N] act on the plate as shown. A.  What is the net torque on the square plate due to these forces? Is the direction in or out of the paper? B.  What is the angular acceleration of the plate? The moment of inertia for a plate of length a and width b rotating about its center is Icom =(1/12) M(a2 + b2) Is the direction in or out of the paper? C.  If the plate is initially at rest, what is the angular velocity of the particle after 2.70 [s] Is the direction in or out of the paper?

A square metal plate with mass M=6.00 [kg] and side length 3.00 [m] is pivoted about an axis through point O at its center and perpendicular to the plate. Three forces of magnitude F1=36.0 [N], F2=24.0 [N], and F3=40.0 [N] act on the plate as shown. A.  What is the net torque on the square plate due to these forces? Is the direction in or out of the paper? B.  What is the angular acceleration of the plate? The moment of inertia for a plate of length a and width b rotating about its center is Icom =(1/12) M(a2 + b2) Is the direction in or out of the paper? C.  If the plate is initially at rest, what is the angular velocity of the particle after 2.70 [s] Is the direction in or out of the paper?

College Physics
College Physics
1st Edition
ISBN:9781938168000
Author:Paul Peter Urone, Roger Hinrichs
Publisher:Paul Peter Urone, Roger Hinrichs
Chapter1: Introduction: The Nature Of Science And Physics
Section: Chapter Questions
Problem 23PE: If a marathon runner averages 9.5 mi/h, how long does it take him or her to run a 26.22-mi marathon?
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A square metal plate with mass M=6.00 [kg] and side length 3.00 [m] is pivoted about an axis through point O at its center and perpendicular to the plate. Three forces of magnitude F1=36.0 [N], F2=24.0 [N], and F3=40.0 [N] act on the plate as shown.

A.  What is the net torque on the square plate due to these forces? Is the direction in or out of the paper?

B.  What is the angular acceleration of the plate? The moment of inertia for a plate of length a and width b rotating about its center is Icom =(1/12) M(a2 + b2) Is the direction in or out of the paper?

C.  If the plate is initially at rest, what is the angular velocity of the particle after 2.70 [s] Is the direction in or out of the paper?

 

F1 3.00 m 30° YFs w 00'E
Transcribed Image Text:F1 3.00 m 30° YFs w 00'E
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