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A block with mass M is pushed against a vertical wall with a force of magnitude P and directed at an angle 0 below the horizontal. The wall and the block experience friction (coefficient of static friction is Hs). Is it possible to keep the block from sliding downward? And if so, how exactly? Use Newton's 2nd law to support your answer.

A block with mass M is pushed against a vertical wall with a force of magnitude P and directed at an angle 0 below the horizontal. The wall and the block experience friction (coefficient of static friction is Hs). Is it possible to keep the block from sliding downward? And if so, how exactly? Use Newton's 2nd law to support your answer.

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**Instruction Text:** For every problem, show FBDs (Free Body Diagrams) and write down Newton’s 2nd law in component form. Remember to be precise in your work: clearly describe what your system of interest is, pay attention to vector/component notation, and follow a clear strategy in your work—the layout of your page should reflect a linear progression of steps and thoughts (please do not jot down things all over the place!); show all details of the calculations that are needed to answer the questions: no guesses of course! **Problem Statement:** A block with mass \( M \) is pushed against a vertical wall with a force of magnitude \( P \) and directed at an angle \( \theta \) below the horizontal. The wall and the block experience friction (coefficient of static friction is \( \mu_s \)). Is it possible to keep the block from sliding downward? And if so, how exactly? Use Newton’s 2nd law to support your answer. **Diagram Explanation:** - **Block \( M \)**: Drawn as a square or rectangle representing the mass of the block. - **Vertical Wall**: Shown as a vertical line to indicate the surface against which the block is pressed. - **Force \( P \)**: Illustrated as an arrow pointing downwards at an angle \( \theta \) below the horizontal axis, representing the force applied to the block. - **Angle \( \theta \)**: Indicated between the direction of the force \( P \) and the horizontal, demonstrating the angle at which the force is applied.
Transcribed Image Text:**Instruction Text:** For every problem, show FBDs (Free Body Diagrams) and write down Newton’s 2nd law in component form. Remember to be precise in your work: clearly describe what your system of interest is, pay attention to vector/component notation, and follow a clear strategy in your work—the layout of your page should reflect a linear progression of steps and thoughts (please do not jot down things all over the place!); show all details of the calculations that are needed to answer the questions: no guesses of course! **Problem Statement:** A block with mass \( M \) is pushed against a vertical wall with a force of magnitude \( P \) and directed at an angle \( \theta \) below the horizontal. The wall and the block experience friction (coefficient of static friction is \( \mu_s \)). Is it possible to keep the block from sliding downward? And if so, how exactly? Use Newton’s 2nd law to support your answer. **Diagram Explanation:** - **Block \( M \)**: Drawn as a square or rectangle representing the mass of the block. - **Vertical Wall**: Shown as a vertical line to indicate the surface against which the block is pressed. - **Force \( P \)**: Illustrated as an arrow pointing downwards at an angle \( \theta \) below the horizontal axis, representing the force applied to the block. - **Angle \( \theta \)**: Indicated between the direction of the force \( P \) and the horizontal, demonstrating the angle at which the force is applied.
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