Curtide A potter's wheel, with rotational inertia 46 kg · m², is spinning freely at 40 rpm. The potter drops a lump of clay onto the wheel, where it sticks a distance 1.2 m from the rotational axis. The subsequent angular speed of the wheel and clay is 32 rpm. Find the mass of the clay.

The motion of spinning a hula hoop around one's hips can be modeled as a hoop rotating around an axis not through the center, but offset from the center by an amount h, where h is less than R, the radius of the hoop. Suppose Maria spins a hula hoop with a mass of 0.74 kg and a radius of 0.67 m around her waist. The rotation axis is perpendicular to the plane of the hoop, but approximately 0.45 m from the center of the hoop. (a) What is the rotational inertia of the hoop in this case? 0.45 X Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all intermediate results to at least four-digit accuracy to minimize roundoff error. kg. m² (b) If the hula hoop is rotating with an angular speed of 13.3 rad/s, what is its rotational kinetic energy? 0.74 X Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. J

A disk with a radius of r = 42 cm rotating about its central axis with a frequency of 20 Hz. Suddenly at a time to which we choose to be to = 0 s, a force is applied to the wheel such that it gives the wheel an angular acceleration of a = -2 rad/s, thereby slowing it down. (a) What is the translational speed of the disk after 30 seconds? (b) What is the time required for the disk to come to rest?

Gerrard, a 32.0 kg boy, would like to play a merrygo-round (weighs 150 kg, 2.60 m in diameter) at a park. He initiates to push the merry-go-round until it spins at 21.0 rpm. He then follows the motion of the merry-go-round (in the same direction) as it rotates by running around (tangential) at 5.00 m/s, only to decide to jump on its platform’s outer edge.Assuming the merry-go-round is a solid disk, whatis its angular velocity just after Gerrard jumps on?

A massless, frictionless merry-go-round of radius R has one child of mass M sitting on the outer edge and is spinning with angular velocity ωi. If the child walks towards the center until she is 0.50R from the center, by what factor does the angular velocity increase? (i.e. solve for F where ωf=Fωi)