A block of mass m can slide frictionlessly on a wedge of mass M. The wedge itself slides on a horizontal frictionless surface, and is pushed by horizontal force F. a. What force F is required such that the block does not slide with respect to the wedge? b. In this case, what is the acceleration of the block-wedge system? F M m

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Chapter1: Units, Trigonometry. And Vectors
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**Problem Statement: Block and Wedge System**

A block of mass \( m \) can slide frictionlessly on a wedge of mass \( M \). The wedge itself slides on a horizontal frictionless surface and is pushed by a horizontal force \( \vec{F} \).

**Questions:**

a. What force \( F \) is required such that the block does not slide with respect to the wedge?

b. In this case, what is the acceleration of the block-wedge system?

**Diagram Explanation:**

- The diagram shows a wedge with mass \( M \) resting on a horizontal surface.
- The wedge has a slanted surface on which a block of mass \( m \) is placed.
- A horizontal force \( \vec{F} \) is applied to the wedge in the direction indicated by an arrow pointing to the right. 
- The system is free from friction both at the surfaces of the wedge and the horizontal ground.
Transcribed Image Text:**Problem Statement: Block and Wedge System** A block of mass \( m \) can slide frictionlessly on a wedge of mass \( M \). The wedge itself slides on a horizontal frictionless surface and is pushed by a horizontal force \( \vec{F} \). **Questions:** a. What force \( F \) is required such that the block does not slide with respect to the wedge? b. In this case, what is the acceleration of the block-wedge system? **Diagram Explanation:** - The diagram shows a wedge with mass \( M \) resting on a horizontal surface. - The wedge has a slanted surface on which a block of mass \( m \) is placed. - A horizontal force \( \vec{F} \) is applied to the wedge in the direction indicated by an arrow pointing to the right. - The system is free from friction both at the surfaces of the wedge and the horizontal ground.
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