a) Describe two free body diagrams: one without resolving components, and one with (only) resolved components.    b) Apply Newton’s 2nd Law along the x-direction. Calculate the acceleration of the box along the floor.    c) Apply Newton’s 2nd Law along the y-direction. Calculate the normal force upon the box.

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Chapter1: Units, Trigonometry. And Vectors
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A 50 kg box is being pulled to the right across the floor as shown.

 

a) Describe two free body diagrams: one without resolving components, and one with (only) resolved components. 

 

b) Apply Newton’s 2nd Law along the x-direction. Calculate the acceleration of the box along the floor. 

 

c) Apply Newton’s 2nd Law along the y-direction. Calculate the normal force upon the box.

The image depicts a block on a horizontal surface with various forces acting on it. 

1. **Forces on the Block:**
   - **Tension (T):** There is an upward force acting on the block at an angle of 15 degrees with respect to the horizontal. This force is represented as T = 50 N.
   - **Friction:** There is a horizontal force opposing the motion of the block, labeled as "Friction = 10 N."

These forces are visually represented by arrows:
- The tension force is shown by an arrow pointing upward at a 15-degree angle to the right, indicating the direction and magnitude of the force.
- The friction force is shown by a horizontal arrow to the left, opposing any movement caused by the tension.

Through this diagram, one can analyze the components and effects of different forces on the block and understand the principles of dynamics, including the balance of forces, friction, and the influence of angles on the magnitude and direction of the resultant forces.
Transcribed Image Text:The image depicts a block on a horizontal surface with various forces acting on it. 1. **Forces on the Block:** - **Tension (T):** There is an upward force acting on the block at an angle of 15 degrees with respect to the horizontal. This force is represented as T = 50 N. - **Friction:** There is a horizontal force opposing the motion of the block, labeled as "Friction = 10 N." These forces are visually represented by arrows: - The tension force is shown by an arrow pointing upward at a 15-degree angle to the right, indicating the direction and magnitude of the force. - The friction force is shown by a horizontal arrow to the left, opposing any movement caused by the tension. Through this diagram, one can analyze the components and effects of different forces on the block and understand the principles of dynamics, including the balance of forces, friction, and the influence of angles on the magnitude and direction of the resultant forces.
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