Question

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?​

Answer 1

Answer:

• Potential Energy = mgl (1 - cosθ)

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)