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A stick of mass m and length / is pivoted at one

end and is displaced through an angle 0.
The increase in potential energy is?​

A stick of mass m and length / is pivoted at one end and is displaced through an angle-example-1

1 Answer

6 votes

Answer:

  • Potential Energy = mgl (1 - cosθ)

Step-by-step explanation:

Given :-

  • Mass of stick = m
  • Length of stick = l
  • Angle = θ

To Find :-

  • Increase potential energy

Solution :-

According to the given data :-

⠀⠀⠀→ cosθ = ᵇ/ₕ

⠀⠀⠀→ cosθ = ᴬᴮ/l

⠀⠀⠀→ AB = l cosθ

For Height :-

⠀⠀⠀→ h = l - l cosθ

⠀⠀⠀→ h = l (1-cosθ)

As we know that

⠀⠀⠀→ Potential Energy = mgh

⠀⠀⠀→ Potential Energy = mg × l (1-cosθ)

⠀⠀⠀→ Potential Energy = mgl (1-cosθ)

User Daniel Chikaka
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