Part a) Since there is no torque acting on the particle (its angular velocity is not changing), the L is conserved.
{"Image DocumentName": "Part a) Since there is no torque acting on the particle (its angular velocity is not changing), the L is conserved.", "Image ImageDescription": "Part b) Let I=mr2 so I1w1=I2w2 so w2=w1 (r1/r2)2. w2=4 w1=7 rad/s. Part c) DK= \u00bd I2w22-\u00bd I1w21=1.03 x 10-2 J. Part d) no other force does work so just change in KE.", "Image XResolution": "37", "Image YResolution": "37", "Image ResolutionUnit": "Pixels/Centimeter", "Image Software": "SlidePlayer", "Image YCbCrPositioning": "Centered"}