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This
Simulation covers:
A free body diagram
of the body when it is located at an intermediate point along the path, in
order to account for all the forces and couples which do work on the body as
it moves along the path. The principle of Work and Energy is used here to
solve the kinetics problem as this involves velocity, force
and displacement.
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Kinetic
Energy: Since the
disk rotates about a fixed axis, the Kinetic Energy (T) can be computed
using:
T
=
½ Io * ω2
, where moment of inertia (Io) is
Io
=
½ m * r2
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Work
(Free-Body Diagram):
As
shown in diagram, the pin reactions Ox and Oy
and the weight do not work, since they are not displaced. The couple
moment C, having a constant magnitude, does positive work
UM
=
M * θ
As
the disk rotates through a clockwise angle of θ rad, and the
constant force F does positive work
UFc
=
Fs
As the cord moves downward
s
=
θ *r
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Principle
of Work and Energy:
{T1}
+
{∑U1-2}
= {T2}
{T1} +
{M * θ + Fs} =
{T2}
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