Statika Zadaci Za Srednju Skolu Fixed

A cantilever beam of length L = 6 m carries a triangular distributed load: zero at the free end, increasing linearly to 400 N/m at the fixed end. Find support reactions.

(Hint: Equivalent force = area of triangle = 0.5baseheight = 0.56400 = 1200 N, acting at centroid – 2/3 from free end, i.e., 4 m from fixed end).

Problem 3: A uniform ladder of length (L = 5) m and weight 150 N rests against a smooth vertical wall and a rough horizontal floor. The ladder makes 60° with the floor. Find the friction force at the floor and the normal reactions. statika zadaci za srednju skolu fixed

Solution:

  • Horizontal equilibrium: (f = N_w).
    Vertical equilibrium: (N_f = 150) N.
  • Torque about bottom point (to eliminate (f) and (N_f)):
    Clockwise: (150 \cdot (L/2) \cdot \cos 60° = 150 \cdot 2.5 \cdot 0.5 = 187.5) Nm.
    Counterclockwise: (N_w \cdot L \cdot \sin 60° = N_w \cdot 5 \cdot 0.866 = 4.33 N_w).
    Equilibrium: (4.33 N_w = 187.5 \Rightarrow N_w \approx 43.3) N.
  • Hence (f = N_w \approx 43.3) N.
  • Answer: Friction force = (43.3) N, (N_f = 150) N, (N_w = 43.3) N. A cantilever beam of length L = 6


    These introduce rotational statics.

    Statics is often the first major hurdle in high school physics where mathematics and the physical world collide in a rigorous way. A typical "Statika zadaci" (Statics problems) collection for high school aims to bridge the gap between theoretical definitions (Newton’s Laws) and practical application (force decomposition, torque, equilibrium). The quality of these materials is usually defined by how well they handle the transition from simple 1D problems to complex 2D moment calculations. Horizontal equilibrium: (f = N_w)

    Problem 2: A uniform beam of length 4 m and weight 200 N rests on two supports: one at the left end and the other 1 m from the right end. A 300 N weight is placed 1 m from the left end. Find the reaction forces at the supports.

    Solution:

  • Then (R_A = 500 - 233.33 = 266.67 ,\textN).
  • Answer: (R_A \approx 267,\textN), (R_B \approx 233,\textN).