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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 уSAQ 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°A gymnast rises onto her toes, as shown in the picture on the right. The floor pushes up on the ball of her foot with a force of N=313 N. If 0=56.0°, what are FH the forces in her heel (TH) and ankle joint (T), and what is the angle o? Answers: TH=481 N; T,=761 N; b=20.7° N, 0. 4.25 cm 9.66 cm 5.
- SAQ 1 1.2 m D 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. А 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 16A professional athlete tears their Achilles tendon. There are two muscles in the back of the leg that pull upward on the Achilles tendon, as shown in the image below. (The Achilles tendon is the gray part above the heel) F₂ (250 N) F, (250 N) (a) Using information from the image above, what is the magnitude of the total force on the Achilles tendon? Number (b) What is the direction of the force on the Achilles tendon in the image? Up Down Left 20% 20° Right
- Due to a jaw injury, a patient must wear a strap (see the figure) that produces a net upward force of 5.00 N on his chin. The tension is the same throughout the strap. To what tension must the strap be adjusted to provide the necessary upward force?I've been having trouble with physics problems involving forces and friction. I can understand the basic formulas (such as F=ma), but it gets too hard for me to understand once friction is introduced, and angles as well. I would love for a good explanation to help me, maybe using the attached problems as a starting point.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 KN
- The combined action of the three forces on the base at O may be obtained by establishing their resultant through O. Determine the magnitudes of R and the accompanying couple M. Assume F₁ = 320 lb, F2 = 500 lb, F3 = 580 lb, a = 6.9 ft, b = 3.6 ft, c = 2.3 ft, and 0 = 42° F3 b a Answers: R= i 38 M = i x 2 lb 8: ! lb-ftThe slope of the 5.0 KN force F is specified as shown in the figure. Express F as a vector in terms of the unit vectors i and j. Assume a = 13, b = 6. Answer: F = ( F b i+ j) KNThe combined action of the three forces on the base at O may be obtained by establishing their resultant through O. Determine the magnitudes of R and the accompanying couple M. Assume F1 = 640 Ib, F2 = 590 lb, F3 = 690 Ib, a = 7.3 ft, b = 2.3 ft, c = 2.9 ft, and 0 = 47. F, 9. a Answers: R= i Ib M= i Ib-ft