*1.38 To move the oil drum, the resultant of the three forces shown must have a magnitude of 500 N. Determine the magnitude and direction of the smallest force F that would cause the drum to move. 250 N OIL F Fig. P1.38 25° 300 N
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- 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?Two muscles on the back of the leg pull upwards on the Achilles tendon. Each force makes an angle of θ=20∘θ=20∘ with the vertical, with one pulling up and to the right and the other pulling up and to the left. Each force has a magnitude F=F=573 N.Write an expression for the magnitude of the sum, FsumFsum, of these two forces. What is the magnitude, in newtons, of the sum of these two forces?Workmen are trying to free an SUV stuck in the mud. To extricate the vehicle, they use three horizontal ropes, producing the force vectors shown in the figure.(Figure 1) Take F1 = 937 N, F2 = 793 N, and F3 = 326 NN. Find the x components of each of the three pulls. Express your answers in newtons separated by commas. Find the y components of each of the three pulls. Express your answers in newtons separated by commas. Use the components to find the magnitude of the resultant of the three pulls. Express your answer in newtons to three significant figures. Use the components to find the direction of the resultant of the three pulls. Express your answer in degrees as the angle counted from +x axis in the counterclockwise direction.
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- Two forces act on a single point. The first force is 200N in the direction of S30◦W and the secondforce is 150N due east. Write each of these forces in vector form and then find the magnitude of theresultant vector.Given the following forces: F, = 300 lb 30° N of E, F, = 200 1b S 40° E,F3 = 224 lb W 25° N, and F, = 390 lb 70° S of Ea. Illustrate the forces in a cartesian plane b. Determine the components of each of the forcesUsing the same force table that you used, a student was given two forces and asked to find a single force that would produce equilibrium with the two forces. The two forces were given by providing one of the components and the angle the force made with the positive x- axis. The two forces were as follows: Force 1: ?? = −2.70 ?; ? = 220.0 degreees Force 2: ?? = 3.20 ?; ? = 60.0 degrees (a) For each force, calculate the magnitude of the force and the mass required to produce it. (b) Calculate the mass and its angle of application to produce equilibrium with these two forces. Please specify your angle as counterclockwise positive with respect to the positive x-axis.
- Two people are moving a heavy crate. One pushes on the crate with a force A which has a magnitude of 424.3 N and is directed due west. The other pushes with a force B, which has a magnitude of 303.8 N and is directed due north. What direction is the resultant force A+B applied to the crate?Determine the magnitude and rectangular equivalent of the resultant R of the Forces P1= 550 N , P2 = 1000 and P3 = 750 N.The force system shown in (FIG. Q1A) consists of the couple C and four forces. If the resultant of this system is a 750 N.m counterclockwise couple, determine P,Q and