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- 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 16SAQ 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°PROBLEM 02 Find the angle between two vector forces whose maanitudes are F and 3F and the magnitude of whose resultant 19 3F.
- A 500 N force is applied to the vertical pole as shown. Determine the scalar y-component of the force vector along x and y'-axes.Determine two force members first. Two blocks are each pin connected to a massless horizontal link. Determine the largest P before motion cocurs. Use 0.35 and 0.3 for the friction coefficients. 45° J c 4.5 kg 3 kg B 30°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 у
- Determine two force members first. Two blocks are each pin connected to a massless horizontal link. Determine the largest P before motion cocurs. Use 0.35 and 0.3 for the friction coefficients. 4.5 kg 3 kg B 30°PROBLEM 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 KNDetermine the magnitude and coordinate direction angles of the resultant force acting at point A on the post. FAC =150 N JA FAв — 200 N C 3 m 3 m 2 m B 4 m
- P= 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 2Resolve a force of 100 N into two components which lie on opposite sides of the force and each of which makes an angle of 30° with the force. Ja=30° J0=30° E = 100N LLFrom the given figure, determine the rectangular representation of the 500 N force. F = 500 N O a. F = -240 i+ 320j+ 300 k N O b. F = 240 i- 320j - 300 k N O c. F = 560i- 720 j- 20o k N O d. F = 420 i- 230j - 700 k N