Four rigid bodies (A, B, C and D) are formed as follows: a rigid and massless rod, two small disks of mass m and two large disks of mass M>m, as shown in the figure below. Each rigid body can rotate around an axis perpendicular to the plane of the figure that passes through point O. Point O coincides with the middle of the bar. In relation to this axis, the moments of inertia are, respectively: IA, IB, IC and ID.
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).
Four rigid bodies (A, B, C and D) are formed as follows: a rigid and massless rod, two small disks of mass m and two large disks of mass M>m, as shown in the figure below.
Each rigid body can rotate around an axis perpendicular to the plane of the figure that passes through point O. Point O coincides with the middle of the bar. In relation to this axis, the moments of inertia are, respectively: IA, IB, IC and ID.
Compare the moments of inertia(if it is equal, greater than or less than):
a) -- IB is ______ than ID
b) -- IA is ______ than ID
c) -- IA is ______ than IC
d) -- IC is ______ than ID
e) -- IB is ______ than IC
f) -- IA is ______ than IB
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