Answer Happy

1. A turntable has a moment of inertia of 0.61 kg m2 and rotates
freely on a frictionless support at 22 rev/min. A 0.62-kg ball of
putty is dropped vertically onto the turntable and strikes a point
0.12 m from the center. What is the new rate of rotation of the
system (rev/min)? Give your answer to one decimal place.
2. A rope is wrapped around a pulley of radius 2.98 m and moment
of inertia 8.29 kg/m2. If the rope is pulled with a force F, the
resulting angular acceleration of the pulley is 6 rad/s2. Determine
the magnitude of the force F. Give your answer to one decimal
place.
3. A horizontal platform in the shape of a circular disk rotates
freely in a horizontal plane about a frictionless vertical axis.
The platform has a mass of 61 kg and a radius of 4 m. A student
whose mass is 34 kg walks slowly from the edge of the disk to its
center. If the angular speed of the system is 5 rad/s when the
student is at the edge, what is the angular speed when she reaches
a point 2.0 m from the center? Give her answer to one decimal
place.