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b) Highest point: i) Draw FBD for the bug. ii) Determine the apparent weight of the bug. c) Lowest point: i) Draw FBD for the bug. ii) Determine the apparent weight of the bug. d) Do these results agree with your prediction?

b) Highest point: i) Draw FBD for the bug. ii) Determine the apparent weight of the bug. c) Lowest point: i) Draw FBD for the bug. ii) Determine the apparent weight of the bug. d) Do these results agree with your prediction?

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This is a PRACTICE problem NOT homework Please do parts B C & D
**Vertical Circular Motion, "Up-Side-Down," Apparent Weight** A bug of mass \( m \) is standing inside a can, on the bottom of the can. A string is attached to the can, and the can and string are whirled in a vertical circle of radius \( R \) at a constant speed \( v \), as shown in the diagram (at the bottom position only). Provide all answers in terms of \( m \), \( v \), \( R \), and/or \( g \). **a) Prediction:** Where do you think the bug feels heaviest? Lightest? **b) Highest Point:** - i) Draw Free Body Diagram (FBD) for the bug. - ii) Determine the apparent weight of the bug. **c) Lowest Point:** - i) Draw Free Body Diagram (FBD) for the bug. - ii) Determine the apparent weight of the bug. **d)** Do these results agree with your prediction? **e)** At what tangential speed should the bug move so the apparent weight at the top is zero? **f)** What is the radial acceleration of the bug at this speed? **g)** What is the apparent weight of the bug at the bottom at this speed? **Diagram Explanation:** The figure on the top right shows a can being whirled in a vertical circle with the bug inside it. The radius of the circle is \( R \), and the speed at the bottom is \( v \). The lower diagram represents the Free Body Diagram (FBD) for the bug at the lowest point. The forces shown are: - \( T \) (Tension) pointing upward. - \( F_N \) (Normal Force) also pointing upward. Annotations indicate predictions about where the bug would feel heaviest and lightest.
Transcribed Image Text:**Vertical Circular Motion, "Up-Side-Down," Apparent Weight** A bug of mass \( m \) is standing inside a can, on the bottom of the can. A string is attached to the can, and the can and string are whirled in a vertical circle of radius \( R \) at a constant speed \( v \), as shown in the diagram (at the bottom position only). Provide all answers in terms of \( m \), \( v \), \( R \), and/or \( g \). **a) Prediction:** Where do you think the bug feels heaviest? Lightest? **b) Highest Point:** - i) Draw Free Body Diagram (FBD) for the bug. - ii) Determine the apparent weight of the bug. **c) Lowest Point:** - i) Draw Free Body Diagram (FBD) for the bug. - ii) Determine the apparent weight of the bug. **d)** Do these results agree with your prediction? **e)** At what tangential speed should the bug move so the apparent weight at the top is zero? **f)** What is the radial acceleration of the bug at this speed? **g)** What is the apparent weight of the bug at the bottom at this speed? **Diagram Explanation:** The figure on the top right shows a can being whirled in a vertical circle with the bug inside it. The radius of the circle is \( R \), and the speed at the bottom is \( v \). The lower diagram represents the Free Body Diagram (FBD) for the bug at the lowest point. The forces shown are: - \( T \) (Tension) pointing upward. - \( F_N \) (Normal Force) also pointing upward. Annotations indicate predictions about where the bug would feel heaviest and lightest.
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