**Problem Statement:** A box of mass \( m = 10 \, \text{kg} \) is pulled with constant speed by a string on a \( 35^\circ \) inclined plane with the horizontal. The string makes an angle of \( 25^\circ \) with the inclined plane. The coefficient of friction between the box and the inclined plane is 0.3. **Diagram Explanation:** The diagram shows: - A box positioned on an inclined plane angled at \( 35^\circ \) to the horizontal. - A string attached to the box, pulling it at an angle of \( 25^\circ \) relative to the inclined plane. **Tasks:** a) Draw a Free Body Diagram including all forces acting on the particle with their labels. b) Find the magnitude of the tension \( T \) in the string. c) Find the force of friction acting on the particle.

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ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
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**Problem Statement:**

A box of mass \( m = 10 \, \text{kg} \) is pulled with constant speed by a string on a \( 35^\circ \) inclined plane with the horizontal. The string makes an angle of \( 25^\circ \) with the inclined plane. The coefficient of friction between the box and the inclined plane is 0.3.

**Diagram Explanation:**

The diagram shows:
- A box positioned on an inclined plane angled at \( 35^\circ \) to the horizontal.
- A string attached to the box, pulling it at an angle of \( 25^\circ \) relative to the inclined plane.

**Tasks:**

a) Draw a Free Body Diagram including all forces acting on the particle with their labels.

b) Find the magnitude of the tension \( T \) in the string.

c) Find the force of friction acting on the particle.
Transcribed Image Text:**Problem Statement:** A box of mass \( m = 10 \, \text{kg} \) is pulled with constant speed by a string on a \( 35^\circ \) inclined plane with the horizontal. The string makes an angle of \( 25^\circ \) with the inclined plane. The coefficient of friction between the box and the inclined plane is 0.3. **Diagram Explanation:** The diagram shows: - A box positioned on an inclined plane angled at \( 35^\circ \) to the horizontal. - A string attached to the box, pulling it at an angle of \( 25^\circ \) relative to the inclined plane. **Tasks:** a) Draw a Free Body Diagram including all forces acting on the particle with their labels. b) Find the magnitude of the tension \( T \) in the string. c) Find the force of friction acting on the particle.
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