To type your equations, you can enter Greek letters by selecting the MathType popup button (red radical) in the answer box. For Greek letters, press the right-facing arrow next to the alpha (a) symbol. tan(0) = (d) Based on your answer for (c), if the bicycle is vertical (8=0°), will it be able to traverse the curve while maintaining balance? O yes O no Why? (e) Calculate for a 11 m/s turn of radius 32 m. 8= degrees

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
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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### Equation Entry and Problem Solving

**Greek Symbols in Equations:**
To type your equations in the answer box, you can enter Greek letters by selecting the MathType popup button (red radical). For Greek letters, press the right-facing arrow next to the alpha (α) symbol.

**Equation:**
\[ \tan(\theta) = \]
\[ \boxed{\phantom{V}} \]

### Question (d)
**Balancing on a Curve:**

Based on your answer for (c), if the bicycle is vertical (\( \theta = 0^\circ \)), will it be able to traverse the curve while maintaining balance?

- [ ] yes
- [ ] no

**Explanation:**
\[ \boxed{\phantom{V}} \]

### Calculation (e)
**Determine the Angle for Given Conditions:**

Calculate \( \theta \) for a 11 m/s turn of radius 32 m.

\[ \theta = \]
\[ \boxed{\phantom{V}} \] degrees
Transcribed Image Text:### Equation Entry and Problem Solving **Greek Symbols in Equations:** To type your equations in the answer box, you can enter Greek letters by selecting the MathType popup button (red radical). For Greek letters, press the right-facing arrow next to the alpha (α) symbol. **Equation:** \[ \tan(\theta) = \] \[ \boxed{\phantom{V}} \] ### Question (d) **Balancing on a Curve:** Based on your answer for (c), if the bicycle is vertical (\( \theta = 0^\circ \)), will it be able to traverse the curve while maintaining balance? - [ ] yes - [ ] no **Explanation:** \[ \boxed{\phantom{V}} \] ### Calculation (e) **Determine the Angle for Given Conditions:** Calculate \( \theta \) for a 11 m/s turn of radius 32 m. \[ \theta = \] \[ \boxed{\phantom{V}} \] degrees
**Understanding Bicycle Dynamics: Forces Involved in Turning**

Riding a bicycle involves leaning at the correct angle when making a turn, as shown in the accompanying figure. To maintain stability, the force exerted by the ground must align with the bicycle's center of gravity. The force on the bicycle wheel can be divided into two perpendicular components:

1. **Friction Parallel to the Road**: This component supplies the necessary centripetal force for turning.
2. **Vertical Normal Force**: This force must counterbalance the weight of the system.

**Task (a):** Express the friction (f) and normal force (N) in terms of the force (F) and angle (θ).

- **Normal Force (N):**

  - Options:
    - ○ F
    - ● Fsinθ
    - ○ Fcosθ
    - ○ -Fsinθ
    - ○ -Fcosθ

- **Friction (f):**

  - Options:
    - ○ F
    - ○ Fsinθ

Understanding these components is crucial for analyzing the physics of bicycle motion and ensuring safe and efficient turning.
Transcribed Image Text:**Understanding Bicycle Dynamics: Forces Involved in Turning** Riding a bicycle involves leaning at the correct angle when making a turn, as shown in the accompanying figure. To maintain stability, the force exerted by the ground must align with the bicycle's center of gravity. The force on the bicycle wheel can be divided into two perpendicular components: 1. **Friction Parallel to the Road**: This component supplies the necessary centripetal force for turning. 2. **Vertical Normal Force**: This force must counterbalance the weight of the system. **Task (a):** Express the friction (f) and normal force (N) in terms of the force (F) and angle (θ). - **Normal Force (N):** - Options: - ○ F - ● Fsinθ - ○ Fcosθ - ○ -Fsinθ - ○ -Fcosθ - **Friction (f):** - Options: - ○ F - ○ Fsinθ Understanding these components is crucial for analyzing the physics of bicycle motion and ensuring safe and efficient turning.
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