Math Problem Statement

Look at the photograph of the spanner at the top of the page. Draw a diagram of the spanner and nut, viewed from above. Mark the pivot, and add an arrow to show the mechanic's pushing force.

Solution

The image you've shared illustrates the concept of a pivot, showing how force applied on a door handle causes the door to rotate about its pivot. The handle acts like a lever, and the pivot is the point where the door rotates.

Answer to the Question:

The problem asks you to:

  1. Draw a diagram of the spanner (the door handle in this case) and nut (likely the pivot point) viewed from above.
  2. Mark the pivot and add an arrow to show the mechanic's pushing force.

Here's how you could approach the diagram:

  1. Spanner (Handle) and Nut (Pivot) from Above: Imagine looking straight down at the door handle. The pivot would be where the door is attached to the wall (near the hinge).
  2. Marking the Pivot: Label the hinge of the door as the pivot point.
  3. Arrow for Force: Since the force is applied to the door handle, you would draw an arrow pointing perpendicular to the door handle to indicate the direction of the force.

In summary, your drawing would have:

  • A rectangle representing the door,
  • A point marking the pivot (hinge),
  • An arrow on the door handle showing the applied force.

Follow-up Questions:

  1. Why does the door rotate when you apply force to the handle?
  2. How does the distance from the pivot affect the amount of force needed to open the door?
  3. What is the role of the pivot point in this system?
  4. What would happen if the pivot was not correctly placed (too far or too close)?
  5. Can this concept be applied to other mechanical systems like levers or pulleys?

Tip:

Remember, the longer the distance between the pivot and the point where the force is applied, the easier it is to rotate the object (i.e., using less force).

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Math Problem Analysis

Mathematical Concepts

Physics
Mechanics
Torque
Levers

Formulas

Torque = Force x Distance from Pivot

Theorems

Principle of Levers
Moment of Force

Suitable Grade Level

Grades 7-9