Review the key concepts, formulae, and examples before starting your quiz.
🔑Concepts
A wedge is a simple machine that consists of two inclined planes joined back-to-back to form a sharp or tapering edge.
The primary function of a wedge is to change the direction of the input force. When force is applied to the head (blunt end), it is redirected perpendicular to the slanting surfaces to split or push objects apart.
Common examples of wedges include an axe, a knife, a chisel, a nail, and a wood splitter.
The Mechanical Advantage () of a wedge depends on its dimensions: the longer and thinner the wedge, the higher the , making it easier to cut or split objects.
A wedge can also be used to hold objects in place through friction, such as a doorstop or a shim.
📐Formulae
💡Examples
Problem 1:
A wood-splitting wedge has a length of and a thickness at the head of . Calculate the Mechanical Advantage () of this wedge.
Solution:
Given: Length () = , Thickness () = . Using the formula: .
Explanation:
The Mechanical Advantage of the wedge is . This means the wedge multiplies the input effort by times to split the wood.
Problem 2:
Which wedge will be more efficient for cutting: Wedge A with a length of and thickness , or Wedge B with a length of and thickness ?
Solution:
For Wedge A: . For Wedge B: . Since , Wedge A is more efficient.
Explanation:
A thinner wedge (Wedge A) provides a higher Mechanical Advantage because the angle of the slope is smaller, requiring less effort to move through the material.