Mechanics January 2022 Resolving Forces Objective Be able

Mechanics January 2022 Resolving Forces Objective: Be able to resolve multiple forces into two components. M 1

Resolving Forces Re-cap Resolving into components is the process of finding two perpendicular forces that provide the same effect as a resultant. Eg. Resolve into two components, parallel and perpendicular to OA 6. 34 N O Resolve parallel to OA 15 N 25° 13. 59 N A Resolve perpendicular to OA Be able to resolve multiple forces into two components.

Resolving Forces Re-cap We can add together forces in the same (or opposite) direction. 34 N 8 N 14 N 915 NN 8 N 10 N 16 N Vertical Forces Horizontal Forces We can also find the resultant of these forces Be able to resolve multiple forces into two components.

Resolving Forces Resultants of multiple forces These three steps can be combined to find the resultant of a system of many forces, all acting in different directions. Eg. Find the resultant of the following system of forces by resolving horizontally and vertically. Resolve horizontally to right 18 N 4 N 40 N 60° 45° 16 20 √ 3 N Find Resultant √ 2 N Resolve vertically upwards Be able to resolve multiple forces into two components.

Resolving Forces Eg. ABCD is a rectangle with AB = 7 cm, and AD = 24 cm. Forces of 30 N, 70 N and 100 N act at A in directions AB, AC and AD respectively. Calculate the magnitude of the resultant force, and find the angle it makes with AB. Be able to resolve multiple forces into two components.

Resolving Forces Eg. ABCDE is a regular pentagon. Forces of 1 N, 2 N, 3 N, 4 N and 5 N act in the centre, O, in directions AB, BC, CD, DE, and EA respectively. Find the magnitude of the resultant force, and the direction referred to AB. Be able to resolve multiple forces into two components.