A uniform rod of length ℓ is being rotated in a horizontal plane with a constant angular speed about an axis passing through one of its ends. If the tension generated in the rod due to rotation is T(x) at a distance x from the axis, then which of the following graphs depicts it most closely?
Solution:
Correct option is D.
T = ∫xℓ dm ω²x = ∫xℓ (mℓ)dx ω²x = mω²2ℓ(ℓ² - x²) T = mω²2ℓ(ℓ² - x²)