Dynamics: A wedge, a mass, and two pulleys

In summary, the problem involves a block of mass 2kg on a wedge of mass 8kg, with pulleys and thread that are massless and smooth surfaces. The goal is to find the initial acceleration of the wedge. It is important to consider that the motion of the block will not be aligned with the slope of the wedge as the wedge moves, and to include tension along the incline in the free body diagram of the wedge.
  • #1
A185
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Homework Statement
In the arrangement shown in the figure, a block of mass m=2kg lies on the wedge of mass M=8kg.Find the initial acceleration of the wedge.
Assume pulleys and thread massless and surfaces smooth.
Relevant Equations
FBDs
Problem Statement: In the arrangement shown in the figure, a block of mass m=2kg lies on the wedge of mass M=8kg.Find the initial acceleration of the wedge.
Assume pulleys and thread massless and surfaces smooth.
Relevant Equations: FBDs

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IMG_20190730_113335.jpg
 
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  • #2
It is hard to read what you did, you didn't introduce coordinates or describe what you calculated. It would be much easier if you show your work here in the thread and describe it as well.

Keep in mind that the motion of the block will not be aligned with the slope of the wedge as the wedge moves.
 
  • #3
In your FBD of the wedge it looks like you missed tension ##T## along the incline.
 
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1. What is the definition of dynamics?

Dynamics refers to the study of how objects move and interact with each other under the influence of external forces.

2. How does a wedge affect the movement of objects?

A wedge is a simple machine that can be used to change the direction of a force. When a wedge is placed between two objects, it can apply a force perpendicular to the direction of motion, causing the objects to move in a different direction.

3. What is the role of mass in dynamics?

Mass is a measure of an object's inertia, or resistance to changes in motion. In dynamics, mass is used to calculate the force needed to move an object, as well as the acceleration it will experience under a given force.

4. How do pulleys affect the motion of objects?

Pulleys are simple machines that can change the direction of a force and can also increase or decrease the applied force. In dynamics, pulleys are often used to lift heavy objects by reducing the amount of force needed to lift them.

5. What is the difference between static and dynamic equilibrium?

Static equilibrium refers to a state where all forces acting on an object are balanced and there is no net change in its motion. Dynamic equilibrium, on the other hand, occurs when an object is moving at a constant speed in a straight line, with no net force acting on it.

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