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Problem 8 A person of mass m stands on the rim of a large disk of mass M and radius R. (r. R for the person) Initially the system rotates with angular velocity w, around the center of the disk. Then the person starts to walk towards the center of the disk. Calculate the angular velocity of the system when the person is at r = R/2. (Idisk MR²/2. Treat the person as a point object, i.e. person = mr²) Axis = = m Problem 9 A rod of length L and mass M lies on the axis between 0 and - L. The mass of the rod is non-uniformly distributed along its length in such a way that the mass density takes the form. 2M X= 20 L3 Calculate the moment of inertia of the rod with respect to the origin, (z = 0).

Problem 8 A person of mass m stands on the rim of a large disk of mass M and radius R. (r. R for the person) Initially the system rotates with angular velocity w, around the center of the disk. Then the person starts to walk towards the center of the disk. Calculate the angular velocity of the system when the person is at r = R/2. (Idisk MR²/2. Treat the person as a point object, i.e. person = mr²) Axis = = m Problem 9 A rod of length L and mass M lies on the axis between 0 and - L. The mass of the rod is non-uniformly distributed along its length in such a way that the mass density takes the form. 2M X= 20 L3 Calculate the moment of inertia of the rod with respect to the origin, (z = 0).

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Problem 8 A person of mass m stands on the rim of a large disk of mass M and radius R. (r= R for the person) Initially the system rotates with angular velocity w around the center of the disk. Then the person starts to walk towards the center of the disk. Calculate the angular velocity of the system when the person is at 7- R/2. (Idisk = MR²/2. Treat the person as a point object, i.e. Iperson = mr²) Axis m TAR Problem 9 A rod of length L and mass M lies on the z axis between 0 and - L. The mass of the rod is non-uniformly distributed along its length in such a way that the mass density takes the form 2M L² Calculate the moment of inertia of the rod with respect to the origin, (z = 0). X 20
Transcribed Image Text:Problem 8 A person of mass m stands on the rim of a large disk of mass M and radius R. (r= R for the person) Initially the system rotates with angular velocity w around the center of the disk. Then the person starts to walk towards the center of the disk. Calculate the angular velocity of the system when the person is at 7- R/2. (Idisk = MR²/2. Treat the person as a point object, i.e. Iperson = mr²) Axis m TAR Problem 9 A rod of length L and mass M lies on the z axis between 0 and - L. The mass of the rod is non-uniformly distributed along its length in such a way that the mass density takes the form 2M L² Calculate the moment of inertia of the rod with respect to the origin, (z = 0). X 20
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