Statika Zadaci Za Srednju | Skolu Fixed

Kosa sila djeluje pod uglom. Bez rastavljanja na horizontalne i vertikalne komponente – nema tačnog rješenja.

Prije nego što riješimo ijedan zadatak, ponovimo fiksne definicije:

Fiksni trik: Uvijek nacrtajte dijagram slobodnog tijela (DST) prije nego što napišete ijednu jednačinu. Bez DST-a, nema tačnog rješenja. statika zadaci za srednju skolu fixed

Problem 1: A 10 kg sign hangs from two ropes making angles of 30° and 60° with the horizontal. Find the tension in each rope.

Solution:

  • From horizontal: (T_1 \cdot 0.866 = T_2 \cdot 0.5 \Rightarrow T_2 = 1.732 T_1).
  • Substitute into vertical:
    (T_1 \cdot 0.5 + (1.732 T_1) \cdot 0.866 = 98)
    (0.5 T_1 + 1.5 T_1 = 2 T_1 = 98 \Rightarrow T_1 = 49 ,\textN), then (T_2 = 84.9 ,\textN).

    • Answer: (T_1 = 49,\textN), (T_2 \approx 85,\textN).

    Cantilever beam, length 2.5 m, fixed at left end. A vertical force of 1200 N acts at 1 m from the fixed end. Another vertical force of 800 N acts at the free end. Neglect beam mass. Find reactions. Kosa sila djeluje pod uglom

    Problem 4: A simple triangular truss with horizontal base 4 m and height 3 m. A 1000 N load at the top joint. Find forces in the two sloping members.

    Solution:

    Answer: Each sloping member: 601 N compression.

    Umjesto jedne sile, imamo opterećenje po dužini (npr. kN/m). Fixed pravilo: Zamijenimo je koncentrisanom silom koja djeluje u težištu rasporeda. From horizontal: (T_1 \cdot 0