Determine the speed v which the 525-kg four-man bobsled must have in order to negotiate the turn without reliance on friction. Also find the net normal force N exerted on the bobsled by the track. 22 p=47 m

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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**Problem Statement:**

Determine the speed \( v \) which the 525-kg four-man bobsled must have in order to negotiate the turn without reliance on friction. Also, find the net normal force \( N \) exerted on the bobsled by the track.

**Diagram Analysis:**

The diagram shows a bobsled on a curved track. The track makes a turn with the following details:
- The radius of curvature \( \rho \) is 47 meters.
- The angle of banking of the track is 22 degrees.

**Variables Given:**
- Mass of bobsled, \( m = 525 \) kg
- Radius of curvature, \( \rho = 47 \) m
- Banking angle, \( \theta = 22^\circ \)

**Formulas to be used:**

To find the speed \( v \):
\[ v = \sqrt{rg \tan \theta} \]

To find the net normal force \( N \):
\[ N = \frac{mg}{\cos \theta} \]

**Answers:**

1. Speed \( v \) in m/s
2. Net normal force \( N \) in kN

Fill in the values for each variable to solve the problem.

\[
\begin{align*}
v &= \\
N &= 
\end{align*}
\]

### Explanation of Diagram:

- The bobsled is shown on a curved track with an angle of 22 degrees representing the banked turn.
- The distance from the center of the turn to the center of gravity \( G \) of the bobsled is 47 meters.

*Insert answers into the blank fields and check with your instructor for correctness.*
Transcribed Image Text:**Problem Statement:** Determine the speed \( v \) which the 525-kg four-man bobsled must have in order to negotiate the turn without reliance on friction. Also, find the net normal force \( N \) exerted on the bobsled by the track. **Diagram Analysis:** The diagram shows a bobsled on a curved track. The track makes a turn with the following details: - The radius of curvature \( \rho \) is 47 meters. - The angle of banking of the track is 22 degrees. **Variables Given:** - Mass of bobsled, \( m = 525 \) kg - Radius of curvature, \( \rho = 47 \) m - Banking angle, \( \theta = 22^\circ \) **Formulas to be used:** To find the speed \( v \): \[ v = \sqrt{rg \tan \theta} \] To find the net normal force \( N \): \[ N = \frac{mg}{\cos \theta} \] **Answers:** 1. Speed \( v \) in m/s 2. Net normal force \( N \) in kN Fill in the values for each variable to solve the problem. \[ \begin{align*} v &= \\ N &= \end{align*} \] ### Explanation of Diagram: - The bobsled is shown on a curved track with an angle of 22 degrees representing the banked turn. - The distance from the center of the turn to the center of gravity \( G \) of the bobsled is 47 meters. *Insert answers into the blank fields and check with your instructor for correctness.*
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