an irregularly shaped plastic plate withuniform thickness and density (mass per unit volume) is to berotated around an axle that is perpendicular to the plate faceand through point O. The rotational inertia of the plate about that axle is measured with the followingmethod. A circular disk of mass 0.500 kg andradius 2.00 cm is glued to the plate, with itscenter aligned with point O . Astring is wrapped around the edge of the diskthe way a string is wrapped around a top.Then the string is pulled for 5.00 s. As a result,the disk and plate are rotated by a constantforce of 0.400 N that is applied by thestring tangentially to the edge of the disk.The resulting angular speed is 114 rad/s.What is the rotational inertia of the plateabout the axle?
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).
an irregularly shaped plastic plate with
uniform thickness and density (mass per unit volume) is to be
rotated around an axle that is perpendicular to the plate face
and through point O. The rotational inertia of the plate about that axle is measured with the following
method. A circular disk of mass 0.500 kg and
radius 2.00 cm is glued to the plate, with its
center aligned with point O . A
string is wrapped around the edge of the disk
the way a string is wrapped around a top.
Then the string is pulled for 5.00 s. As a result,
the disk and plate are rotated by a constant
force of 0.400 N that is applied by the
string tangentially to the edge of the disk.
The resulting angular speed is 114 rad/s.
What is the rotational inertia of the plate
about the axle?
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