Determine the resulting torque in the following plane under the action of the force system, if it can rotate about point A in the figure 1m 8 N 3 N E 5N figura 4 2N 4 N 6N m

A ring is attached with 3 ropes. A force of P=250 lb is applied to the ring. The direction of the rope D is defined by 3 directions from each axis x, y and z: a = 80°, B = 45° and y = 30°. The direction of the rope C is defined by 2 directions from a plane and an axis: 0 70° and 8 = 20°. = X D B B d A 0 S What is the cartesian vector form of the tension Tp ?

A square is acted upon by the forces of 4, 6, 8, and 12N respectively along the four sides as shown. If the length of the side of the square is 0.5m, what is the resultant torque acting to rotate the square about an axis through A?

F1 F2 a C F3 d. F4 E B F5 Consider the following values: - a - 25 m; b - 5 m; c - 25 m; d - 5 m; F1 6 kN; F2 - 7 kN; F3 8 kN; F4 -9 kN; F5 - 10 kN; a = 30°, 0 = 60°, B= 45° 4] What is the resultant moment of the five forces acting on the rod about point D? a) - 177.8 kN.m b) 182.7 kN.m c) 121.9 kN.m d)- 228.6 kN.m e) -297.1 kN.m ) 230.1 kN.m Activate I 5] What is the moment of the force F2 about point E? c) 254.6 kN.m Go to Setting ) 321.3 kN.m a) 111.7 kN.m b) 218.1 kN.m d) 123.7 kN.m e) 101.1 kN.m

A force of  F= (3.00î + 4.00ĵ) N is applied to an object that is pivoted about a fixed axle aligned along the z coordinate axis. The force is applied at the point  r= (6.00î + 2.00ĵ +0k) m. Find the magnitude of the net torque about the z axis.

F1 F2 F3 A b F4 D F5 Consider the following values: - a = 25 m; b 5 m; c = 25 m; d = 5 m; F1 = 4 kN; F2 = 5 kN; F3 = 6 kN; F4 = 7 kN; F5 = 8 kN; a = 30°, 0 = 60° %3D B = 30° 1] What is the resultant moment of the five forces acting on the rod about point A? a) - 75.8 kN.m b) 32.7 kN.m c) - 14.6 kN.m d) 72.9 kN.m e) 27.1 kN.m - 66.1 kN.m 2] What is the resultant moment of the five forces acting on the rod about point B? a) - 198.8 kN.m b) 212.7 kN.m c) - 121.6 kN.m d) 98.9 kN.m e) 125.4 kN.m f) -170.2 kN.m 3] What is the resultant moment of the five forces acting on the rod about point C? a) - 96.7 kN.m b) 251.1 kN.m c) - 114.6 kN.m d) 217.9 kN.m 154.1 kN.m f)-177.7 kN.m 4] What is the resultant moment of the five forces acting on the rod about point D? a) - 198 kN.m b) 127 kN.m c) – 219 kN.m d) 369 kN.m e) 151 kN.m f) - 171 kN.m Activate V 5] What is the moment of the force F2 about point E? Go to Setting

F1 F2 a F3 A d b C F4 E Consider the following values: - F5 a = 12 m; b = 10 m; c = 10 m; d = 8 m; F1 = 6 kN; F2 = 7 kN; F3 = 8 kN; F4 = 9 kN; F5 = 10 kN; a = 30° , 0 = 45° ß = 60° 4] What is the resultant moment of the five forces acting on the rod ut point D? 51 What is the moment of the force F2 about point E? 6] What is the resultant moment of the five forces acting on the rod about point E?

The resultant forces in two * :directions are P=300N K=200N 30 Ry =RX=Zero O RX=312.12N and RY= 38.92N O RX= 38.92N and RY= 312.12N