Example 3: (to be solved by students) Knowing that a = 75°, determine the resultant of the three forces shown. SOIL 120

Post by **answerhappygod** » Sat Feb 26, 2022 11:21 am

: Example 3 To Be Solved By Students Knowing That A 75 Determine The Resultant Of The Three Forces Shown Soil 120 1 (18.24 KiB) Viewed 35 times

: Example 3 To Be Solved By Students Knowing That A 75 Determine The Resultant Of The Three Forces Shown Soil 120 2 (18.24 KiB) Viewed 35 times

: Example 3 To Be Solved By Students Knowing That A 75 Determine The Resultant Of The Three Forces Shown Soil 120 3 (38.7 KiB) Viewed 35 times

: Example 3 To Be Solved By Students Knowing That A 75 Determine The Resultant Of The Three Forces Shown Soil 120 4 (49.42 KiB) Viewed 35 times

: Example 3 To Be Solved By Students Knowing That A 75 Determine The Resultant Of The Three Forces Shown Soil 120 5 (49.42 KiB) Viewed 35 times

Example 3: (to be solved by students) Knowing that a = 75°, determine the resultant of the three forces shown. SOIL 120 lb 60 Iь 20° (1

Solution: 1 60-lb Force: = - F = (60 lb) cos 20° = 56.38 lb F, = (60 lb)sin 20° = 20.52 lb - y 80-1b Force: F = (80 lb) cos 95º = -6.97 lb F, = (80 lb) sin 95º = 79.70 lb = y 120-1b Force: F = (120 lb) cos 5º =119.54 lb F, = (120 lb) sin 5º =10.46 lb = Then Rx = EF = 168.95 lb R, = EF, =110.68 lb , = ΣF

2 R = (168.95 lb)2 + (110.68 lb)? = 201.98 lb 110.68 tan a = 168.95 tan a = 0.655 a = 33.23° R=202 lb 33.2°