Consider a pure-rolling race where two objects a and b are simultaneously released from the top of an inclined plane and roll down to a finish line. for each group below, answer which object will win the race or it will be a tie (a or b or tie).
1.a: 100g solid cylinder with r = 10cm vs b: 200g solid cylinder with r = 10cm.
2. a: 100g solid cylinder with r = 10cm vs b: 100g solid cylinder with r = 20cm.
3. a: 100g solid cylinder with r = 10cm vs b: 100g hollow cylinder with r = 10cm.
4. a: 100g solid cylinder with r = 10cm vs b: 100g solid sphere with r = 10cm.
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