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What is the center of gravity of a uniform beam of length L?

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Question: What is the center of gravity of a uniform beam of length L?

Options:

  1. 0
  2. L/2
  3. L
  4. L/4

Correct Answer: L/2

Solution: 

For a uniform beam, the center of gravity is located at its midpoint, which is L/2.

What is the center of gravity of a uniform beam of length L?

Practice Questions

Q1
What is the center of gravity of a uniform beam of length L?
  1. 0
  2. L/2
  3. L
  4. L/4

Questions & Step-by-Step Solutions

What is the center of gravity of a uniform beam of length L?
Correct Answer: L/2
  • Step 1: Understand that a uniform beam means it has the same weight and density throughout its length.
  • Step 2: Recognize that the center of gravity is the point where the weight of the beam is evenly distributed on both sides.
  • Step 3: Since the beam is uniform, the center of gravity will be at the midpoint of the beam.
  • Step 4: Calculate the midpoint by dividing the total length of the beam (L) by 2.
  • Step 5: Conclude that the center of gravity is located at L/2.
  • Center of Gravity – The point at which the weight of a body or system is concentrated and acts.
  • Uniform Beam – A beam with consistent mass distribution, leading to a predictable center of gravity.
  • Midpoint Calculation – For a uniform beam of length L, the midpoint is calculated as L/2.
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