Use the parallelogram nule to find the magnitude of the resultant force for the two forces shown

step 1 In this question we have to use the parallelogram rule to find the magnitude of the resultant fo

Use the parallelogram nule to find the magnitude of the...

Key Concepts

Parallelogram Rule

The parallelogram rule is a method used in vector addition where two vectors are represented as adjacent sides of a parallelogram. The resultant vector is given by the diagonal extending from the same vertex, visually and mathematically demonstrating how the two quantities combine.

Vector Addition

Vector addition is the process of combining two or more vectors to obtain a single vector, known as the resultant. This operation takes into account both the magnitudes and directions of the vectors, making it a fundamental concept in physics and engineering for analyzing forces and other vector quantities.

Resultant Force

A resultant force is the single force that has the same effect as the original system of forces acting on a body. It is derived by vectorially adding all individual forces, and its magnitude and direction indicate how the body will accelerate according to Newton's laws of motion.

Cosine Law

The cosine law is a mathematical formula used to determine the magnitude of the resultant vector when two vectors form an angle with each other. When using the parallelogram rule, the cosine law relates the lengths of the sides of the parallelogram and the cosine of the angle between them to calculate the magnitude of the diagonal.

Rounding

Rounding is the process of shortening a numerical value to a specified degree of precision, often to simplify results. In problems involving vectors, rounding might be used to express the final magnitude of a resultant force to a designated number of decimal places, such as the nearest tenth.

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