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- Check Your Understanding Find the angle between forces F1and F3in Example 2.16.In a tug-of-war game on one campus, 15 students pull on a rope at both ends in an effort to displace the central knot to one side or the other. Two students pull with force 196 N each to the light, four students pull with force 98 N each to the left, five students pull with force 62 N each to the left, three students pull with force 150 N each to the right, and one student pulls with force 250 N to the left. Assuming the positive direction to the tight, express the net pull on the knot in terms of the unit vector. How big is the net pull on the knot? In what direction?3. 4.00 m F13 7 F23 37.0° Compute for the total force exered on 92 to but 93 イ 3.00m to 5-00m 9, メ 9, = Ic q2 = -20 - 3C 93=30 olyh
- Rovhaun is attaching a support rope of 52 m to the top of a telephone pole. The rope is attached at 40 mfrom the base of the telephone pole. What is the angle that the rope makes with the ground?Find the resultant of force Y 390 Ib MATHalino.com 12 30 1 1 300 lb 722 Ib Figure P-265SAQ 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°
- Two rods and one cable are attached to the supports at O. If two of the forces are as shown, determine the magnitude F and direction of the third force so that the resultant of the three forces is vertically downward with a magnitude of 1160 lb. 1080 lb. 590 lb A Answers: F= i e= i 49° 34° lb OThree men pull on ropes attached to the top of a heavy object which is level with the ground. Man A is 6 ft. tall, stands 6 ft. away, 45 degrees NE from the center of the object and exerts a force of 72 lbs. Man B is 5 ft. 6 in. tall, 6 ft. away, 60 degrees NW and pulls with a force of 60 lbs. Man C is 5 ft. tall, also stands 6 ft. away, 30 degrees SE and pulls with a force of 80 lbs. Assuming the ropes are attached to their shoulders which are 2/3 of their height from the ground, what is the magnitude of the horizontal resultant (in lbs) of these forces on the object?23Three men pull on ropes attached to the top of a heavy object which is level with the ground. Man A is 6 ft. tall, stands 6 ft. away, 45 degrees NE from the center of the object and exerts a force of 72 lbs. Man B is 5 ft. 6 in. tall, 6 ft. away, 60 degrees NW and pulls with a force of 60 lbs. Man C is 5 ft. tall, also stands 6 ft. away, 30 degrees SE and pulls with a force of 80 lbs. Assuming the ropes are attached to their shoulders which are 2/3 of their height from the ground, what is the magnitude of the horizontal resultant (in lbs) of these forces on the object?
- Find the magnitude of the resultant of the concurrent forces if θ = 24.04° , β = 33.61°, F = 142.42, Q = 61.43, and P = 113.54. Round off only on the final answer expressed in 3 decimalsFind the resultant of the three forces in the figure 68⁰ 90° 40 N 20N 60N R=120.8 NO R=18.8 NO R=70.8 NO R=100.8 NOAt 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 51. 3 N 3.51N 31.5 N 35.1N