Moment of Inertia,not hw problems, but trying to understand the concept better.

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The discussion centers on understanding the moment of inertia of a solid disk and the conditions under which torque can exist despite a net force of zero. Specifically, it addresses the ratio of thickness L to radius R for a uniform disk when its moment of inertia about two different axes is equal. Additionally, it clarifies that torque cannot exist without an applied force, as torque is defined by the equation torque = Force * Sin(theta), which results in zero torque when force is zero.

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  • Understanding of moment of inertia concepts
  • Familiarity with torque and its mathematical definition
  • Basic knowledge of solid mechanics
  • Ability to interpret physical equations and their implications
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  • Study the common moments of inertia for various shapes
  • Learn about the relationship between torque and angular acceleration
  • Explore the implications of net forces and torques in static equilibrium
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The question says:
Imagine a solid disk, made of uniform material, a radius R and thickness L. What is the ratio of L/R if the moment of inertia of this disk about the axis passing through the center and perpendicular to the plane of the disk is the same as the moment of inertia about the axis passing through the center and parallel to the disk? [I definitely don't know how to answer this. I don't think I even understand how to start it off]

2nd Question says:
Is it possible to have a torque on an object while the net force applied to it is zero? If not, why not? If yes, give an example.

-> I said it is not possible because torque= Force * Sin(theta). Since force is 0, torque is o as well.

Can someone help me with these questions please?
 
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hi sowmit! :smile:
sowmit said:
Imagine a solid disk, made of uniform material, a radius R and thickness L. What is theratio of L/R if the https://www.physicsforums.com/library.php?do=view_item&itemid=31" of this disk about the axis passing through the center and perpendicular to the plane of the disk is the same as the moment of inertia about the axis passing through the center and parallel to the disk?

you need to learn the common moments of inertia …

see http://en.wikipedia.org/wiki/List_of_moments_of_inertia :wink:
Is it possible to have a torque on an object while the net force applied to it is zero? If not, why not? If yes, give an example.

-> I said it is not possible because torque= Force * Sin(theta). Since force is 0, torque is o as well.

suppose there are two forces on the same object … can they have a https://www.physicsforums.com/library.php?do=view_item&itemid=175" if their net force is zero?
 
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