Answered: Part I. A thin square plate with…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question

Part I. A thin square plate with dimensions of 650 mm x 650 mm and mass of 5.00 kg is supported from pins at points A and B as shown in Figure 1.1 (Position 1). Determine the magnitude of the maximum angular velocity attained by the plate as it swings freely. (Hint: The maximum angular velocity will occur after rotating 45° clockwise upon release.)

Part II. After a while, as the thin square plate hangs at rest from pin A, a bullet of a mass of 40.0 g is fired horizontally with an initial velocity, vbulleto = 350 m/s into the square plate as shown in Figure 2.1 (Position 1).

-Determine the magnitude of the angular velocity of the plate after the impact.
-Determine the magnitude of the velocity of the mass center of the plate after the impact.
-Determine the magnitude of the angular velocity when the plate rotates in a clockwise direction by 90°
as shown in Figure 2.2 (Position 2).

A
B
D
650 mm
650 mm
E
Figure 1.1. Position 1
D
E
I
B
650 mm
Figure 1.2. Position 2
650 mm

E
650 mm
C
D
Figure 2.1 Position 1
325 mm
B
Vbullet o
650 mm
D
E
B
Figure 2.2 Position 2
A

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