Math Problem Statement

Tentukan Resultan dari lima buah gaya masing-masing 1000 kg yang bekerja secara grafis. Skala: 1 cm = 200 kg.

Solution

The image shows a problem involving the graphical determination of the resultant of five forces acting at a point SS, with each force being 1000 kg. The forces are labeled K1,K2,K3,K4K_1, K_2, K_3, K_4, and K5K_5, emanating from point SS, as seen in the diagram. The problem asks to determine the resultant of these forces graphically, with a given scale: 1 cm = 200 kg.

Steps to determine the resultant graphically:

  1. Draw vectors to scale: Use the given scale (1 cm = 200 kg). Since each force is 1000 kg, each vector will have a length of: 1000kg200kg/cm=5cm\frac{1000 \, \text{kg}}{200 \, \text{kg/cm}} = 5 \, \text{cm} So, you need to draw each vector from point SS with a length of 5 cm in the appropriate direction.

  2. **Arrange

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Math Problem Analysis

Mathematical Concepts

Vector Addition
Graphical Method for Resultant Forces
Scale Conversion

Formulas

Pythagorean theorem for vector resultant
Scale conversion: 1 cm = 200 kg

Theorems

Law of Parallelogram for Forces

Suitable Grade Level

College Physics / High School Physics