• VP2. A truck is moving with constant acceleration a up a hill that makes an angle P with the horizontal as in the figure above. A small sphere of mass m is suspended from the ceiling of the truck by a light cord. If the pendulum makes a constant angle O with the perpendicular to the ceiling, what is a?

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Chapter1: Units, Trigonometry. And Vectors
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Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Ch6 VP2
**VP2.** A truck is moving with constant acceleration \( a \) up a hill that makes an angle \( \phi \) with the horizontal, as shown in the figure. A small sphere of mass \( m \) is suspended from the ceiling of the truck by a light cord. If the pendulum makes a constant angle \( \theta \) with the perpendicular to the ceiling, what is \( a \)?

**Diagram Explanation:**

The image shows a truck inclined on a slope making an angle \( \phi \) with the horizontal. Inside the truck, there's a sphere of mass \( m \) hanging from the ceiling by a cord. The sphere makes an angle \( \theta \) with the perpendicular to the ceiling of the truck. The truck accelerates upwards with acceleration \( \vec{a} \). 

This setup is used to analyze the forces in play and calculate the truck's acceleration based on the pendulum's angle \( \theta \).
Transcribed Image Text:**VP2.** A truck is moving with constant acceleration \( a \) up a hill that makes an angle \( \phi \) with the horizontal, as shown in the figure. A small sphere of mass \( m \) is suspended from the ceiling of the truck by a light cord. If the pendulum makes a constant angle \( \theta \) with the perpendicular to the ceiling, what is \( a \)? **Diagram Explanation:** The image shows a truck inclined on a slope making an angle \( \phi \) with the horizontal. Inside the truck, there's a sphere of mass \( m \) hanging from the ceiling by a cord. The sphere makes an angle \( \theta \) with the perpendicular to the ceiling of the truck. The truck accelerates upwards with acceleration \( \vec{a} \). This setup is used to analyze the forces in play and calculate the truck's acceleration based on the pendulum's angle \( \theta \).
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