Problem 4: A uniform flat disk of radius R and mass 2M is pivoted at point P. A point mass of 1/2 Mis attached to the edge of the disk. 2M R , Part (a) Calculate the moment of inertia IcMof the disk (without the point mass) with respect to the central axis of the disk, in terms of Mand R. ICM= 7 9 HOME a d 1 1 3 k M P END + R vol BACKSPACE CLEAR t Submit Hint Feedback I give up! Part (b) Calculate the moment of inertia Ip of the disk (without the point mass) with respect to point P, in terms of Mand R. Part (c) Calculate the total moment of inertia IT of the disk with the point mass with respect to point P, in terms of Mand R.
Problem 4: A uniform flat disk of radius R and mass 2M is pivoted at point P. A point mass of 1/2 Mis attached to the edge of the disk. 2M R , Part (a) Calculate the moment of inertia IcMof the disk (without the point mass) with respect to the central axis of the disk, in terms of Mand R. ICM= 7 9 HOME a d 1 1 3 k M P END + R vol BACKSPACE CLEAR t Submit Hint Feedback I give up! Part (b) Calculate the moment of inertia Ip of the disk (without the point mass) with respect to point P, in terms of Mand R. Part (c) Calculate the total moment of inertia IT of the disk with the point mass with respect to point P, in terms of Mand R.
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![**Problem 4:** A uniform flat disk of radius \( R \) and mass \( 2M \) is pivoted at point \( P \). A point mass of \( \frac{1}{2} M \) is attached to the edge of the disk.
### Part (a)
Calculate the moment of inertia \( I_{CM} \) of the disk (without the point mass) with respect to the central axis of the disk, in terms of \( M \) and \( R \).
\[ I_{CM} = \]
*(Input field and virtual keyboard for answers)*
### Diagram Explanation
The image shows an orange circle representing the disk. The disk is pivoted at the point labeled \( P \). The disk has a mass of \( 2M \) and a radius \( R \). There is a smaller point mass of \( \frac{1}{2} M \) located at the edge of the disk.
### Part (b)
Calculate the moment of inertia \( I_P \) of the disk (without the point mass) with respect to point \( P \), in terms of \( M \) and \( R \).
### Part (c)
Calculate the total moment of inertia \( I_T \) of the disk with the point mass with respect to point \( P \), in terms of \( M \) and \( R \).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8bdf8f1e-a074-4944-9e95-7b5187bdd920%2F12edfa00-1615-48e3-9bfb-6dbb988b3a4d%2F12nb3s_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem 4:** A uniform flat disk of radius \( R \) and mass \( 2M \) is pivoted at point \( P \). A point mass of \( \frac{1}{2} M \) is attached to the edge of the disk.
### Part (a)
Calculate the moment of inertia \( I_{CM} \) of the disk (without the point mass) with respect to the central axis of the disk, in terms of \( M \) and \( R \).
\[ I_{CM} = \]
*(Input field and virtual keyboard for answers)*
### Diagram Explanation
The image shows an orange circle representing the disk. The disk is pivoted at the point labeled \( P \). The disk has a mass of \( 2M \) and a radius \( R \). There is a smaller point mass of \( \frac{1}{2} M \) located at the edge of the disk.
### Part (b)
Calculate the moment of inertia \( I_P \) of the disk (without the point mass) with respect to point \( P \), in terms of \( M \) and \( R \).
### Part (c)
Calculate the total moment of inertia \( I_T \) of the disk with the point mass with respect to point \( P \), in terms of \( M \) and \( R \).
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