At what angle must the 800-N force be applied in order that the resultant Rof the two forces has a magnitude of 2000 N? 1400 N 800 N O 51. 3 N O 3.51N O 31.5 N O 35.1N
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- The forces are in static equilibrium. The 140 lb force is directed along the x-axis and the 300 lb force is directed along the negative z- axis. Determine the magnitude of the unknown force, R. Z X R Ox лог 140lb A (-50, 80, 160) lb By 300 lb уP= SN kN I. For the force in the figure, determine the rectangular components along u and v axes if a = 20° y 60- a a P. 2. For the force Pin the figure, determine the components P, and Pa, if the former is directed 80° from the horizontal axis( a-axis) and the latter 20° to the same reference axis. Force P = FN kN is acting at a given angle of 60* from the x axis. P2 а- ахis P = FN kN P= MN kN 3. For the force system shown in the figure determine the horizontal and vertical components of each force. 3 P= SN kN %3D Page 1 of 2Find the resultant of force Y 390 Ib MATHalino.com 12 30 1 1 300 lb 722 Ib Figure P-265
- 40 4N 65° 6N B (a) Calculate the x- and y- componeni of force A. (b) Calculate the x- and y- component of force B. (c) Calculate the x- and y- component of the total force A+B. (d) What is the magnitude of the total force | A+B|? (e) What is the angle between the total force and the +x axis?The 300-lb force is to be resolved into the compu salong lines a-a' and b-b'. Determine the angle a knowing that the component along line a-a' is 240-lb. b. What is the corresponding value of the component along line b-b'. a. 300 lb 60° Your anSwerSAQ 1 1.2 m D C 80 kN m An 80-kn.m couple shown in the plate is caused by a pair of parallel forces of magnitude F (not shown). 1.6 m Determine: a) the smallest possible value of F, and b) the value of F if the forces act at points A and C and are parallel to the dashed line shown at A. A В 60°
- 16. ao The drawing shows a rectangular piece of wood. The forces applied to corners B and D have the same magnitude of 12 N and are directed parallel to the long and short sides of the rectangle. The long side of the rectangle is twice as long as the short side. An axis of ro- tation is shown perpendicular to the plane of the rectangle at its center. A third force (not shown in the drawing) is applied to cor- ner A, directed along the short side of the rectangle (either toward B or away from B), such that the piece of wood is at equilib- rium. Find the magnitude and direction of the force applied to corner A. A D Axis Problem 16PROBLEM 02 Find the angle between two vector forces whose magnitudes are F and 3F and the magnitude of whose resultant 19 3F. PROBLEM 03 A force T passing through points A and B as shown, has a counterclockwise moment of 400 KN-m about point O. If the coordinates of points A and B are (0,6) and (8,0) in meters, compute the value of force T. PROBLEM 04 The resultant of the concurrent forces shown 15 1OOKN with O, of 60° directed DR. Determine the unknown force. Figure, PROBLEM 05. Refer to problem SP203. Q = 10 KN %3D Change P=25 KN up to the left at 30 degrees w/ x-axis, Q=30 KN, W=35 KN, T=18 KN directed to the right. F = ? 3| 4 P = 30 KN T = 20 KN= For the next three items: A 200 kg plank is projecting a distance L = 5.0 m from a wall which is held steadily by a string that is connected to it at an angle 30° from the horizontal. The plank is actually fasted to the wall where an unknown force is exerted on the plank by the wall. If a 60 kg mass is placed on the plank at a distance d = 1.0 m, find the tension force on the string. Ө d L-
- Two forces of magnitude 2F and the square root of F act such that the resultant force is square root of 10F. What is the angle between the forces given in the problem? O o deg 120 deg 90 deg 45 deg 30 deg600 N 300 300 E 120 N-m 60° |60° A 200 400 200 Dimensions in millimeters Determine the magnitude of the force (in N) of the x-component of the internal pin at B.Dental braces and kits are used to align and straighten the orientation of the teeth. In a specific case, the tooth that is needed to be aligned is pulled with a force of 6.26 N, 45° CW from the wire (from the +x-axis) and 4.86 N, 45° CCW from the wire (from the +x-axis). What is the magnitude of the resulting force of the two forces aligning the tooth?