The 200-kg snowmobile with passenger is traveling down the hill such that when it is at point A, it is traveling at 4 m/s and increasing its speed at 2 m/s². Determine the resultant normal force and the resultant frictional force exerted on the tracks at this instant. Neglect the size of the snowmobile.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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solve, show all steps and fbd. no copied answers. dynamics. use ads=vdv or a=dv/dt for at if needed

**Problem Statement:**

A 200-kg snowmobile with a passenger is traveling down a hill. At point \( A \), it is moving at 4 m/s and increasing its speed at 2 m/s². Determine the resultant normal force and the resultant frictional force exerted on the tracks at this instant. Neglect the size of the snowmobile.

**Diagram Explanation:**

The diagram shows a curving slope with an x-y coordinate system. The slope is defined by the equation \( y = -5(10^{-3})x^3 \).

- The point where the snowmobile is, labeled \( A \), is at the coordinates:
  - \( x = 10 \) m
  - \( y = 5 \) m

**Calculations:**

The given answers for the forces are:
- Normal force at \( A \), \( N_A = 924.8 \, \text{N} \)
- Frictional force at \( A \), \( f_A = 1232 \, \text{N} \) (directed opposite to the direction of travel for the snowmobile)

**Note:** The forces calculated are based on the dynamics of the snowmobile as it travels on the curved path.
Transcribed Image Text:**Problem Statement:** A 200-kg snowmobile with a passenger is traveling down a hill. At point \( A \), it is moving at 4 m/s and increasing its speed at 2 m/s². Determine the resultant normal force and the resultant frictional force exerted on the tracks at this instant. Neglect the size of the snowmobile. **Diagram Explanation:** The diagram shows a curving slope with an x-y coordinate system. The slope is defined by the equation \( y = -5(10^{-3})x^3 \). - The point where the snowmobile is, labeled \( A \), is at the coordinates: - \( x = 10 \) m - \( y = 5 \) m **Calculations:** The given answers for the forces are: - Normal force at \( A \), \( N_A = 924.8 \, \text{N} \) - Frictional force at \( A \), \( f_A = 1232 \, \text{N} \) (directed opposite to the direction of travel for the snowmobile) **Note:** The forces calculated are based on the dynamics of the snowmobile as it travels on the curved path.
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