18° The figure shows a thin rod, of length L = 2.20 m and negligible mass, that can pivot about one end to rotate in a vertical circle. A heavy ball of mass m =8.10 kg is attached to the other end. The rod is pulled aside to angle 00 = 18 ° and released with initial velocity 0. (a) What is the speed of the ball at the lowest point? (b) Does the speed increase, decrease, or remain the same if the mass is increased? 8.10

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Chapter1: Units, Trigonometry. And Vectors
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The figure shows a thin rod of length \( L = 2.20 \, \text{m} \) and negligible mass, which can pivot about one end to rotate in a vertical circle. A heavy ball of mass \( m = 8.10 \, \text{kg} \) is attached to the other end. The rod is pulled aside to an angle \( \theta_0 = 18^\circ \) and released with an initial velocity \( \vec{v}_0 = 0 \). 

Questions:
(a) What is the speed of the ball at the lowest point?
(b) Does the speed increase, decrease, or remain the same if the mass is increased?

### Diagram Explanation:
- The diagram illustrates a vertical circle setup.
- A rod is oriented at an angle \( \theta_0 = 18^\circ \) from the vertical line.
- The length of the rod is labeled as \( L \).
- A blue circle represents the mass \( m \) at the end of the rod.
- The initial velocity \( \vec{v}_0 \) is marked as zero, indicating the starting condition of the ball.
- The pivot point is located at the top of the vertical line, indicating where the rod is free to swing.
Transcribed Image Text:The figure shows a thin rod of length \( L = 2.20 \, \text{m} \) and negligible mass, which can pivot about one end to rotate in a vertical circle. A heavy ball of mass \( m = 8.10 \, \text{kg} \) is attached to the other end. The rod is pulled aside to an angle \( \theta_0 = 18^\circ \) and released with an initial velocity \( \vec{v}_0 = 0 \). Questions: (a) What is the speed of the ball at the lowest point? (b) Does the speed increase, decrease, or remain the same if the mass is increased? ### Diagram Explanation: - The diagram illustrates a vertical circle setup. - A rod is oriented at an angle \( \theta_0 = 18^\circ \) from the vertical line. - The length of the rod is labeled as \( L \). - A blue circle represents the mass \( m \) at the end of the rod. - The initial velocity \( \vec{v}_0 \) is marked as zero, indicating the starting condition of the ball. - The pivot point is located at the top of the vertical line, indicating where the rod is free to swing.
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