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In this lesson, we will learn how to use the conservation of energy concept in circular motion.
A uniform circular hoop of mass 1.2 kg and radius
0.6 m is rotating in a horizontal plane about a smooth
vertical axis through point
of its circumference.
Calculate the kinetic energy of the hoop when it is rotating at
A particle of mass 0.4 kg is now fixed to the hoop at point
is a diameter. The hoop continues to
. Calculate the total kinetic energy of the hoop and the particle.
A uniform circular disc of mass
0.4 m is
free to rotate in a horizontal plane about a fixed smooth vertical axis through the
centre of the disc. Particles of masses
and 1.2 kg are attached to points on the circumference of the disc. The loaded disc
is rotating at 100 revolutions per minute. Calculate the angular momentum of the
loaded disc to the nearest decimal place.
A uniform square lamina has sides of length 0.8 m and
a mass of 4 kg.
It is free to rotate about a fixed axis which coincides with one of its sides.
Calculate the change of angular momentum when the angular speed of the lamina is increased from
2 rad/s to
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