In: Physics
In the figure, two particles, each with mass m = 0.77 kg, are fastened to each other, and to a rotation axis at O, by two thin rods, each with length d = 5.2 cm and mass M = 1.0 kg. The combination rotates around the rotation axis with angular speed ? = 0.32 rad/s. Measured about O, what is the combination's (a) rotational inertia and (b) kinetic energy?
a)
Moment of inertia of rod between the two particles of masses
and
, about its ceter of mass is
Moment of inertia of rod between the two particles of
masses
and
about the axis of rotation O is
Moment of inertia of rod between first particle of mass
and axis of rotation O, about O is
Moment of inertia of first particle of mass
about the axis or rotation O is
Moment of inertia of second particle of mass
about the axis of rotation O is
Total moment of inertia of the two rods and two particles about the axis of rotation O is
Moment of inertia of the combination is
b)
Kinetic energy of the combination is