two forces whose magnitude are in the ratio of 3:5 give a resultant of 35N if the angle of inclination be 60degree calculate the magnitude of each force
Answers
Magnitude of first force = 15 N
Magnitude of second force = 25 N
Explanation:
Given, Ratio of forces = 3 : 5
Let the common factor is 'x'
So first force = 3* x
second force = 5 *x
Resultant force = 35 N
Angle between the forces = 60°
Resultant force is given as F = √ F₁² +F₂² + 2 F₁F₂cosΘ
=> 35 = √[(3 x)²+ (5 x)²+ 2 (3 x)(5 x) cos 60°]
=> 35 =√ 9 x² + 25 x² + 15 x² (cos 60° = 0.5)
=> 35 = √ 49 x²
=> x = 5
hence magnitude of first force = 3*5= 15 N
magnitude of second force = 5*5 = 25 N
To know more about resultant forces, visit:
What can you deduce about the resultant force acting on an object that is moving at a constant speed in a straight line (b) accerlating
https://brainly.in/question/1448748
What is the resultant force when two equal forces act on an object in the same direction
https://brainly.in/question/1441890