A thin square plate with dimensions of 0.65 m x 0.65 m and a mass of 5.00 kg is supported from pins at points A and B as shown in Figure 1.1 (Position 1). a. what's its moment of inertia about its center of mass? b. If the pin at point B is removed and the plate freely swings around pin A, what's the magnitude of the plate's angular velocity once it has rotated in a clockwise direction by 90° as shown in Figure 1.2 (Position 2)? c. what's 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.)
A thin square plate with dimensions of 0.65 m x 0.65 m and a mass of 5.00 kg is supported from pins at points A and B as shown in Figure 1.1 (Position 1).
a. what's its moment of inertia about its center of mass?
b. If the pin at point B is removed and the plate freely swings around pin A, what's the magnitude of the
plate's angular velocity once it has rotated in a clockwise direction by 90° as shown in Figure 1.2 (Position 2)?
c. what's 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.)
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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, v_bullet,o = 350 m/s into the square plate as shown in Figure 2.1 (Position 1).
d. what's the magnitude of the angular velocity of the plate after the impact.
e. what's the magnitude of the velocity of the mass center of the plate after the impact?
f. what's the magnitude of the angular velocity when the plate rotates in a clockwise direction by 90°
as shown in Figure 2.2 (Position 2).
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