Zhuravel Well Sweep Lever Lab · 2D

-Effort

-Mech. adv.

-Net torque

-Rope

-Benefit

Free-body diagram of the pole (side view)

Effort over one draw cycle

Peak effort vs counterweight

Lever and bucket

Counterweight

Pivot position

Pole length

Bucket mass (empty)

Pole angle

Draw pace

Readouts

The science

Torque balance and effort

tau_net = g cos(theta) (m_b L_b + m_p d - m_c L_c)
F = g (m_b L_b + m_p d - m_c L_c) / L_b      m_c* = ((m_e + m_w/2) L_b + m_p d) / L_c
at m_c*: F = -/+ m_w g / 2     B = (m_e + m_w) g / F_peak

Dynamics and work

I theta'' = tau_net + tau_op - c theta'     W_op = m_w g depth
I = m_b L_b^2 + m_c L_c^2 + m_p L^2/12 + m_p d^2

Same physics module as the 3D lab, so both pages print identical numbers. Simplifications: rigid pole, one degree of freedom, bucket as a point mass at the tip, inextensible rope. The sweep reduces the force, not the work. Wood and orifice constants are typical values (verify).

Educational model with rigid-pole dynamics and static structure readouts; not an engineering design for a real well. "Zhuravel" is the transliterated name of a traditional well sweep (shadoof elsewhere).

Independent checks