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
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
Problem 1.1MA
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Question
![**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.*](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2b7dd8f1-dbab-4607-8b33-bde9974f18c9%2F1a990ea9-817a-47e7-876a-d9b299f8a241%2Frmu9fhv_processed.png&w=3840&q=75)
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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