SCENARIO 3: A block is sliding down an inclined solid surface that makes an angle e with the horizontal. Take an X-axis parallel to the incline (oriented downward) and a Y-axis perpendicular to the incline, and apply Newton's second law to find the magnitude of the normal force FN. Treat the weight W as a given. SKETCH FBD NEWTON's 2nd LAW (COMPONENT-PER-COMPONENT)

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Chapter5: The Laws Of Motion
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take the x-axis along the incline (say, downhill) and the y-axis perpendicular to the incline, say upwards and solve the problem again. Then write down Newton's 2nd law in the x- and y-direction again, and find the connection between FN and FG

**Scenario 3:** A block is sliding down an inclined solid surface that makes an angle θ with the horizontal. Take an X-axis parallel to the incline (oriented downward) and a Y-axis perpendicular to the incline, and apply Newton’s second law to find the magnitude of the normal force \( F_N \). Treat the weight \( W \) as a given.

- **Sketch**: This would typically show a block on an inclined plane with the angle θ indicated. The X-axis is along the incline while the Y-axis is perpendicular to it.

- **FBD (Free Body Diagram)**: This diagram would illustrate the forces acting on the block. It would typically include:
  - The gravitational force acting downward.
  - The normal force \( F_N \) perpendicular to the surface of the incline.
  - The component of the gravitational force along the incline.

- **Newton’s 2nd Law (Component-Per-Component)**: Apply Newton’s second law of motion separately to the X and Y components to solve for the normal force \( F_N \).
Transcribed Image Text:**Scenario 3:** A block is sliding down an inclined solid surface that makes an angle θ with the horizontal. Take an X-axis parallel to the incline (oriented downward) and a Y-axis perpendicular to the incline, and apply Newton’s second law to find the magnitude of the normal force \( F_N \). Treat the weight \( W \) as a given. - **Sketch**: This would typically show a block on an inclined plane with the angle θ indicated. The X-axis is along the incline while the Y-axis is perpendicular to it. - **FBD (Free Body Diagram)**: This diagram would illustrate the forces acting on the block. It would typically include: - The gravitational force acting downward. - The normal force \( F_N \) perpendicular to the surface of the incline. - The component of the gravitational force along the incline. - **Newton’s 2nd Law (Component-Per-Component)**: Apply Newton’s second law of motion separately to the X and Y components to solve for the normal force \( F_N \).
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