Four identical particles ofmass 0.50 kg each are placed at thevertices of a 2.0 m * 2.0 m squareand held there by four massless rods, which form the sides of thesquare.What is the rotational inertia of this rigid body about anaxis that (a) passes through the midpoints of opposite sides andlies in the plane of the square, (b) passes through the midpoint ofone of the sides and is perpendicular to the plane of the square,and (c) lies in the plane of the square and passes through two diagonallyopposite particles?
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 identical particles of
mass 0.50 kg each are placed at the
vertices of a 2.0 m * 2.0 m square
and held there by four massless rods, which form the sides of the
square.What is the rotational inertia of this rigid body about an
axis that (a) passes through the midpoints of opposite sides and
lies in the plane of the square, (b) passes through the midpoint of
one of the sides and is perpendicular to the plane of the square,
and (c) lies in the plane of the square and passes through two diagonally
opposite particles?
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