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Describe a situation. For each problem, draw a motion diagram, a force identification diagram, and a freebody diagram. In the process of nailing up a heavy framed poster, a student pushes the poster straight in toward the wall; the poster is sliding downward at a constant speed.

Short Answer

Expert verified
The forces acting on the poster are gravity, the pushing force of the student, and the friction force of the wall. These are represented in the motion, force identification, and freebody diagrams respectively. In the motion diagram, the dots representing the poster are evenly spaced indicating constant speed. The force identification and freebody diagrams clearly label and depict the forces acting on the poster.

Step by step solution

01

Identify the Forces

Identify all the forces acting on the poster. In this case, there are three forces: the force of gravity, which acts downward; the force exerted by the student, which acts inwards towards the wall; and the friction force, which acts upward and prevents the poster from falling.
02

Create the Motion Diagram

Draw the motion diagram by representing the poster as a dot. As the poster is sliding downward at a constant speed, the dots will be evenly spaced along the downward path.
03

Create the Force Identification Diagram

Draw the force identification diagram by representing the poster as a box. Label all the forces acting on it. The force of the student pushing the poster is represented with an arrow pointing towards the wall, the force of gravity with an arrow pointing downward, and the friction force with an arrow pointing upward.
04

Create the Freebody Diagram

A freebody diagram is a sketch that shows a single object and vectors representing each force acting on it. Represent the poster as a dot, and draw vectors for the force of gravity, which points downward, the force of the student, which points towards the wall, and the friction force, which points upward. The forces in this diagram should be shown as arrows with their tails at the dot. The length of these arrows should be proportional to the magnitude of the forces they represent.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Motion Diagram
Understanding motion diagrams is fundamental in analyzing the behavior of objects in physics. Let's explore this concept using a scenario.

A motion diagram is a visual representation of an object's movement over time. In our exercise, we imagine a student pushing a heavy framed poster towards a wall while it slides down at a constant speed. To depict this scenario in a motion diagram, think of the poster as a dot. At each moment of time, we mark the dot's position along the object's path of motion. Since the poster moves at a consistent pace, the space between each consecutive dot is equal, representing uniform motion.
  • Motion diagrams can help us understand the velocity and acceleration of the object.
  • Each equally spaced dot indicates zero acceleration — meaning the poster is not speeding up or slowing down.
By analyzing a motion diagram, we learn that the poster is moving at a steady speed as it is being pushed against the wall.
Force Identification Diagram
The force identification diagram helps us visualize the different forces at play on a single object. In our example of the poster, the forces identified include:
  • The force of gravity pulling the poster downward.
  • The student's force pushing the poster inward toward the wall.
  • The friction force between the poster and the wall acting upward.
Imagine the poster represented as a simple shape, like a rectangle. On this shape, we draw arrows to depict the forces; where each arrow's direction shows the force direction and magnitude proportional to the arrow's length. Such diagrams are key in understanding the interactions and balance of forces, leading to a subsequent creation of a freebody diagram — a more focused representation of forces affecting the motion of an object.
Constant Speed Forces
When an object moves at a constant speed, it tells us something important about the forces acting upon it — they are balanced.

In the context of our framed poster, we infer several things:
  • The net force acting on the poster is zero.
  • Forces acting in opposite directions — such as the downward force of gravity and the upward friction force — cancel each other out.
  • The horizontal push by the student does not influence the vertical motion of the poster sliding down the wall at a constant speed.
These constant speed forces indicate that the system is in a state of equilibrium. There is no net change in the speed of the poster, which means that the forces acting along any one direction are equal in magnitude and opposite in direction.
Friction Force
Friction force is a significant concept here, as it plays a crucial role in preventing the poster from accelerating downward under the force of gravity.

Friction is the resisting force that occurs when two surfaces interact; in our situation, it's the force between the poster and the wall. Here's how it works:
  • The gravity force pulls the poster downward, but it doesn't accelerate because of the upward friction force.
  • The magnitude of the friction force is equal to that of gravity when the poster slides at a constant speed.
  • If the student stopped pushing, the friction would decrease, and gravity would cause the poster to accelerate downwards.
By understanding the friction force, students can better grasp how objects move or resist movement in relation to the surfaces they come in contact with. It's instrumental in analyzing any scenario where two surfaces move past each other, as in our example.

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