Consider an irregular object of mass m. Its moment of inertia measured with respect to axis A (parallel to the plane of the page), which passes through the center of mass (see the second diagram), is given by IA=0.64mr2. Axes B, C, D, and E are parallel to axis A; their separations from axis A are shown in the diagram. In the subsequent questions, the subscript indicates the axis with respect to which the moment of inertia is measured: for instance, IC is the moment of inertia about axis C. Which moment of inertia is the smallest? Which moment of inertia is the largest? Which moments of inertia are equal? Which moment of inertia equals 4.64mr^2? Axis X, not shown in the diagram, is parallel to the axes shown. It is known that IX=6mr^2. Which of the following is a possible location for axis X?
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).
Consider an irregular object of mass m. Its moment of inertia measured with respect to axis A (parallel to the plane of the page), which passes through the center of mass (see the second diagram), is given by IA=0.64mr2. Axes B, C, D, and E are parallel to axis A; their separations from axis A are shown in the diagram. In the subsequent questions, the subscript indicates the axis with respect to which the moment of inertia is measured: for instance, IC is the moment of inertia about axis C. Which moment of inertia is the smallest? Which moment of inertia is the largest? Which moments of inertia are equal? Which moment of inertia equals 4.64mr^2? Axis X, not shown in the diagram, is parallel to the axes shown. It is known that IX=6mr^2. Which of the following is a possible location for axis X?
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