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(NEWTON'S LAWS) A block of mass m rests on a frictionless wedge of mass M that has an inclination 0, and an acceleration a to the right such that the block remains stationary with respect to the wedge. For parts b and c below, keep your answers in terms of the variables given in the problem and g if required. (a) Draw a free-body diagram for the block. Include your coordinate system. (b) What is the magnitude of the acceleration a for which the block does not move relative to the wedge? (c) To achieve this acceleration, a pushing force is applied to the back of the wedge. What is the magnitude of this pushing force?

(NEWTON'S LAWS) A block of mass m rests on a frictionless wedge of mass M that has an inclination 0, and an acceleration a to the right such that the block remains stationary with respect to the wedge. For parts b and c below, keep your answers in terms of the variables given in the problem and g if required. (a) Draw a free-body diagram for the block. Include your coordinate system. (b) What is the magnitude of the acceleration a for which the block does not move relative to the wedge? (c) To achieve this acceleration, a pushing force is applied to the back of the wedge. What is the magnitude of this pushing force?

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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## Newton's Laws Problem A block of mass \( m \) rests on a frictionless wedge of mass \( M \) that has an inclination \( \theta \), and an acceleration \( \vec{a} \) to the right such that the block remains stationary with respect to the wedge. For parts (b) and (c) below, keep your answers in terms of the variables given in the problem and \( g \) if required. ### Tasks **(a)** Draw a free-body diagram for the block. Include your coordinate system. **(b)** What is the magnitude of the acceleration \( \vec{a} \) for which the block does not move relative to the wedge? **(c)** To achieve this acceleration, a pushing force is applied to the back of the wedge. What is the magnitude of this pushing force? ### Diagram Explanation The diagram shows a block resting on an inclined wedge that is accelerating to the right. The wedge has an angle of inclination \( \theta \) with respect to the horizontal, and the entire system is on a frictionless surface. The acceleration \( \vec{a} \) is depicted as a vector pointing to the right.
Transcribed Image Text:## Newton's Laws Problem A block of mass \( m \) rests on a frictionless wedge of mass \( M \) that has an inclination \( \theta \), and an acceleration \( \vec{a} \) to the right such that the block remains stationary with respect to the wedge. For parts (b) and (c) below, keep your answers in terms of the variables given in the problem and \( g \) if required. ### Tasks **(a)** Draw a free-body diagram for the block. Include your coordinate system. **(b)** What is the magnitude of the acceleration \( \vec{a} \) for which the block does not move relative to the wedge? **(c)** To achieve this acceleration, a pushing force is applied to the back of the wedge. What is the magnitude of this pushing force? ### Diagram Explanation The diagram shows a block resting on an inclined wedge that is accelerating to the right. The wedge has an angle of inclination \( \theta \) with respect to the horizontal, and the entire system is on a frictionless surface. The acceleration \( \vec{a} \) is depicted as a vector pointing to the right.
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