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

• 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)