Homework Part 1: Questions about 9.34 Small blocks, each with mass m, are clamped at the ends and at the center of a light rod of length L. Compute the moment of iner- tia of the system about an axis perpendicular to the rod and passing through a point of the length from one end. You can ignore the moment of inertia of the light rod.
Rigid Body
A rigid body is an object which does not change its shape or undergo any significant deformation due to an external force or movement. Mathematically speaking, the distance between any two points inside the body doesn't change in any situation.
Rigid Body Dynamics
Rigid bodies are defined as inelastic shapes with negligible deformation, giving them an unchanging center of mass. It is also generally assumed that the mass of a rigid body is uniformly distributed. This property of rigid bodies comes in handy when we deal with concepts like momentum, angular momentum, force and torque. The study of these properties – viz., force, torque, momentum, and angular momentum – of a rigid body, is collectively known as rigid body dynamics (RBD).
![ter of mass of a beam when the density varies along
3. Finding the moment of inertia of a uniform beam around an axis th
4. Finding the moment of inertia of a uniform beam around an axis
5. Finding the moment of inertia of a uniform solid cylinder around
6. Finding the moment of inertia of a cylinder when the density va
If we have time, we may peak ahead to our unit on fluids and look
vertical retaining wall.
Homework Part I: Questions about Moments of inertia
9.34 Small blocks, each with mass m, are clamped at the ends and
at the center of a light rod of length L. Compute the moment of iner-
tia of the system about an axis perpendicular to the rod and passing
through a point of the length from one end. You can ignore the
moment of inertia of the light rod.
9.35 A twirler's baton is made of a slender metal cylinder of mass
M and length L. Each end has a rubber cap of mass m and you can
accurately treat each cap as a particle in this problem. Find the total
moment of inertia of the baton about the usual twirling axis (per-
pendicular to the baton through its center).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F29d9ecf2-8ea2-4c7b-b874-691941710284%2F8ab4bc23-18be-404a-a6ce-5f7862317cdd%2F0wqaqjl_processed.jpeg&w=3840&q=75)
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