1. Consider the homogenous triangular plate and the parallel axes JJ', KK', and MM' shown in the figure. If m is the mass of the plate, which of the following applications of the Parallel Axis Theorem is CORRECT? Hint: The plate's centroid lies along axis KK'.

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1. Consider the homogenous triangular plate and the parallel axes JJ', KK', and MM' shown in the figure. If m is the
mass of the plate, which of the following applications of the Parallel Axis Theorem is CORRECT? Hint: The plate's
centroid lies along axis KK'.
MM’
A IKK' = IMy' – 4md?
-
B = IMM + 9md²
2d
KK'
C u = IKK' – md²
D IMM' = IKK' + md²
J'
2. Consider a cube, a square plate, and a square hoop with equal side lengths s. If their masses are equal, which of
the following shows the CORRECT relationship of the bodies' resistances to rotation about the x-axis? Hint: The hoop
can be visualized as four slender rods connected at their ends to form a square.
Square Plate
Cube
Square Hoop
3. The homogenous semicircular plate shown | Cube > Plate > Hoop
a mass of 5 kg. Which of the following best
approximates the mass moment of inertia of ti Hoop = Plate > Cube
Hoop > Plate = Cube
idal axis MM' (parallel to x-axis)?
%3D
Hoop > Plate > Cube
Transcribed Image Text:1. Consider the homogenous triangular plate and the parallel axes JJ', KK', and MM' shown in the figure. If m is the mass of the plate, which of the following applications of the Parallel Axis Theorem is CORRECT? Hint: The plate's centroid lies along axis KK'. MM’ A IKK' = IMy' – 4md? - B = IMM + 9md² 2d KK' C u = IKK' – md² D IMM' = IKK' + md² J' 2. Consider a cube, a square plate, and a square hoop with equal side lengths s. If their masses are equal, which of the following shows the CORRECT relationship of the bodies' resistances to rotation about the x-axis? Hint: The hoop can be visualized as four slender rods connected at their ends to form a square. Square Plate Cube Square Hoop 3. The homogenous semicircular plate shown | Cube > Plate > Hoop a mass of 5 kg. Which of the following best approximates the mass moment of inertia of ti Hoop = Plate > Cube Hoop > Plate = Cube idal axis MM' (parallel to x-axis)? %3D Hoop > Plate > Cube
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