Conceptual: bug masses on a rotating wheel

AI Thread Summary
In the discussion, two objects of equal mass on a rotating wheel are analyzed regarding their motion and acceleration. It is established that mass 2, located closer to the axis, travels a shorter distance than mass 1 at the rim, confirming that statement one is true. However, the total acceleration of mass 1 is greater than that of mass 2, making statement two false. The angles covered by both masses are equal, but their angular velocities and accelerations differ, leading to statements four, five, and seven being false. The centripetal acceleration of mass 2 is indeed less than that of mass 1, validating statement six.
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Homework Statement



Two objects of equal mass are on a turning wheel. Mass 1 is located at the rim of the wheel while mass 2 is located halfway between the rim and the axis of rotation. The wheel is rotating with a non-zero angular acceleration. For each of the following statements select the correct option to complete the statement.

Each of these statements have variables that are underlined

1. For a given time, mass 2 travels a distance that is less than the distance traveled by mass
2. The magnitude of the total acceleration of mass 1 is greater than the total acceleration of mass.
3. For a given time, the angle covered by mass 2 is equal to the angle covered by mass 1.
4. For a given time, the angle covered by mass 2 is equal to the angle covered by mass 1.
5. The angular acceleration of mass 2 is equal to the angular acceleration of mass 1
6. The centripetal (radial) acceleration of mass 2 is less than the centripetal acceleration of mass 1.
7. The tangential acceleration of mass 2 is equal to the tangential acceleration of mass 1.

Homework Equations



ac=v2/r
T=(2\pi)/ω

The Attempt at a Solution



I tried using the relevant equations to prove these statements but it didn't work. I'm not sure which statement is false, or if there's more than 1 wrong statement.
 
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Any help is appreciated! 1. For a given time, mass 2 travels a distance that is less than the distance traveled by mass 1. - True 2. The magnitude of the total acceleration of mass 1 is greater than the total acceleration of mass 2. - False 3. For a given time, the angle covered by mass 2 is equal to the angle covered by mass 1. - True 4. For a given time, the angular velocity of mass 2 is equal to the angular velocity of mass 1. - False 5. The angular acceleration of mass 2 is equal to the angular acceleration of mass 1. - False 6. The centripetal (radial) acceleration of mass 2 is less than the centripetal acceleration of mass 1. - True 7. The tangential acceleration of mass 2 is equal to the tangential acceleration of mass 1. - False
 

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