Question

Two forces 20N and 5N are acting at an angle 120 between them .find the resultant force in magnitude and direction measured clockwise from the positive x-axis using the parallelogram method

Answer 1

Hu , there !!!

resultant = √ A² + B² + 2AB Cos∅

=> √ 20² + 5² + 2 × 20 × 5 - 1/ 2

√ 400 + 25 - 100


√ 425 -100

√ 325 .


now , direction =>

to find direction we use

tan Alpha = bsin∅ / A+ B cos∅

=> 5 × √ 3/2 / 20 + 5 / 1/2

tan alpha = √ 3 / 12


alpha = tan inverse √ 3 / 12 .


hope it helps you!!!!

thanks !!!

Ranjan kumar