☰ Contents · Physics

Lever experiment. Simple machines

Lessons 34–35 · 2 lessons · N.Sh. Turdiyev. Physics Grade 6, 3rd revised edition. Niso Poligraf Publishers, Tashkent, 2017
34

Laboratory work. The equilibrium condition of a lever

Textbook, p. 89
GoalCheck the equilibrium condition of a lever by experiment: show F₁ · l₁ = F₂ · l₂ using arms and loads.
New words
lever ruler · richag-chizg‘ichweights · yuk (toshlar)length of an arm · yelka uzunligitable of measurements · o‘lchash jadvali
Explanation

You need: a ruler balanced on a support (a lever), a set of equal weights (for example 50 g masses), thread and a dynamometer. Place the ruler on the support and make it horizontal. Hang several weights on the left arm and hang weights on the right arm so that the ruler again stays balanced horizontally. Measure each arm — from the support to the point where the weights hang — with a ruler, and find the weights of the loads from F = m · g. Then calculate F₁ · l₁ and F₂ · l₂ and compare: they are about equal, and any difference is measurement error (friction, mass of the ruler, difficulty in finding exact balance). Repeat with 3–4 different arms and loads and write the results in a table. Conclusion: the smaller the force, the longer its arm must be.

Worked examples
Left arm l₁ = 20 cm, F₁ = 3 N; if the right arm is l₂ = 15 cm, F₂ = 3 · 20 : 15 = 4 N.
Results: F₁l₁ = 0.6 N·m and F₂l₂ = 0.59 N·m — nearly equal, the small difference is measurement error.
Class activity

Laboratory work (in pairs): balance the lever and run the experiment with 3 different loads and arms, filling in the table: “F₁, l₁, F₁·l₁, F₂, l₂, F₂·l₂”. Safety: do not drop weights on your feet, use a plastic rather than a glass support, and keep fingers out from between support and ruler.

Practice
1
In the experiment, which quantities are equal when the lever balances?
2
One 50 g weight is F = 0.5 N (g = 10). Four weights hang at 10 cm on the left. How many weights at 5 cm on the right balance them?
3
F₁ = 2 N, l₁ = 30 cm. If F₂ = 3 N, what is l₂ in cm?
4
Why might F₁l₁ and F₂l₂ not come out exactly equal?