its equilibrium position. Find an expression for the force of static friction in terms of the variables given (and g).

College Physics
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ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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**Text:**

As shown to the left, an object with mass \( m \) is being held stationary on a ramp of angle \( \theta \) by both the force of static friction, and a spring with constant \( k \) that has been stretched a distance \( d \) from its equilibrium position. Find an expression for the force of static friction in terms of the variables given (and \( g \)).

**Diagram Explanation:**

The diagram depicts:

- An inclined plane with an angle \( \theta \).
- A block with mass \( m \) resting on the incline.
- A spring attached to the block, pulling it towards the incline's base.
- The spring is stretched a distance \( d \) from its equilibrium position.
- The net forces include static friction opposing the block's slide down the incline.

The diagram illustrates the static equilibrium condition where the force of static friction, gravitational components, and the spring force are balanced.
Transcribed Image Text:**Text:** As shown to the left, an object with mass \( m \) is being held stationary on a ramp of angle \( \theta \) by both the force of static friction, and a spring with constant \( k \) that has been stretched a distance \( d \) from its equilibrium position. Find an expression for the force of static friction in terms of the variables given (and \( g \)). **Diagram Explanation:** The diagram depicts: - An inclined plane with an angle \( \theta \). - A block with mass \( m \) resting on the incline. - A spring attached to the block, pulling it towards the incline's base. - The spring is stretched a distance \( d \) from its equilibrium position. - The net forces include static friction opposing the block's slide down the incline. The diagram illustrates the static equilibrium condition where the force of static friction, gravitational components, and the spring force are balanced.
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