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Uniform rod of mass M and length and it is free to rotate without friction about a horizontal Axis a point of mass M is attached to the free end of the road the centre of masses to height H from its minimum position the moment of inertia of the system about an Axis passing through and perpendicular to the plane of rotation will be?
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Uniform rod of mass M and length and it is free to rotate without fric...



Calculation of Moment of Inertia

Given data:

  • Mass of the rod = M
  • Length of the rod = L
  • Height of point mass from minimum position = H


Calculations:

1. Moment of Inertia of the rod:

  • The moment of inertia of the rod about its end = ML^2/3


2. Moment of Inertia of the point mass:

  • The moment of inertia of the point mass = MH^2


3. Total Moment of Inertia:

  • The total moment of inertia is the sum of the moments of inertia of the rod and the point mass
  • Therefore, the total moment of inertia = ML^2/3 + MH^2
  • Simplify the above equation to get the final moment of inertia of the system


Conclusion:

By adding the moment of inertia of the rod and the point mass, we can determine the total moment of inertia of the system about an axis passing through and perpendicular to the plane of rotation. This allows us to understand how the mass distribution affects the rotational motion of the system.


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Uniform rod of mass M and length and it is free to rotate without friction about a horizontal Axis a point of mass M is attached to the free end of the road the centre of masses to height H from its minimum position the moment of inertia of the system about an Axis passing through and perpendicular to the plane of rotation will be?
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Uniform rod of mass M and length and it is free to rotate without friction about a horizontal Axis a point of mass M is attached to the free end of the road the centre of masses to height H from its minimum position the moment of inertia of the system about an Axis passing through and perpendicular to the plane of rotation will be? for Physics 2024 is part of Physics preparation. The Question and answers have been prepared according to the Physics exam syllabus. Information about Uniform rod of mass M and length and it is free to rotate without friction about a horizontal Axis a point of mass M is attached to the free end of the road the centre of masses to height H from its minimum position the moment of inertia of the system about an Axis passing through and perpendicular to the plane of rotation will be? covers all topics & solutions for Physics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Uniform rod of mass M and length and it is free to rotate without friction about a horizontal Axis a point of mass M is attached to the free end of the road the centre of masses to height H from its minimum position the moment of inertia of the system about an Axis passing through and perpendicular to the plane of rotation will be?.
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