In a two-dimensional tug-of-war, Alex, Betty, and Charles pull horizontally on an automobile tire at the angles shown in the picture.The tire remains stationary in spite of the three pulls. Alex pulls with force F A Oof magnitude 219 N, and Charles pulls with forceof magnitude 176 N. Note that the direction of F c is not given. What is the magnitude of Betty's force F B if Charles pullsin (a) the direction drawn in the picture or (b) the other possible direction for equilibrium?CВAlexCharles153°Betty(a) NumberUnits(b) NumberUnits>>

Magnitude of FA = 219 N Magnitude of FC = 176 N angle made by FA with south = 153 degree angle made…

Answered: In a two-dimensional tug-of-war, Alex,…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 58P: A force F1, of magnitude 6.00 units acts on an object at the origin in a direction = 30.0 above the...

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A bag of cement weighing 325 N hangs in equilibrium from three wires as suggested in Figure P4.23. Two of the wires make angles 1 = 60.0 and 2 = 40.0 with the horizontal. Assuming the system is in equilibrium, find the tensions T1, T2, and T3 in the wires. Figure P4.23 Problems 23 and 24.
The helicopter view in Fig. P3.15 shows two people pulling on a stubborn mule. The person on the right pulls with a force F1 of magnitude 120 X and direction of 1 = 60.0. The person on the left pulls with a force F2 of magnitude 80.0 N and direction of 2 = 75.0. Find (a) the single force that is equivalent to the two forces shown and (b) the force that a third person would have to exert on the mule to make the resultant force equal to zero. The forces are measured in units of newtons (symbolized N). Figure P3.15
A force F1, of magnitude 6.00 units acts on an object at the origin in a direction = 30.0 above the positive x-axis (Fig. P1.58). A second force F2 of magnitude 5.00 units acts on the object in the direction of the positive y-axis. Find graphically the magnitude and direction of the resultant force F1 + F2. Figure P1.58
In a two-dimensional tug-of-war, Alex, Betty, and Charles pull horizontally on an automobile tire at the angles shown in the picture. The tire remains stationary in spite of the three pulls. Alex pulls with force FA→ of magnitude 212 N, and Charles pulls with force FC→ of magnitude 177 N. Note that the direction of FC→ is not given. What is the magnitude of Betty's force FB→ if Charles pulls in the direction drawn in the picture?
Forces P, Q and S of magnitudes 6.00 N, 10.00 N and 8.00 N respectively, acts on point O such that the angle made by force P is 50o counter clockwise from the positive x axis, force Q acts at an angle of 38 o counter clockwise from the negative y axis and force S acts at an angle of 32 o counter clockwise from the positive y axis. The x component of force S is
Consider a 50-N weight suspended by two wires as shown in the accompanying figure. If the magnitude of vector F1 is 35 N, find angle a and the magnitude of vector F2.
The forces F1, F2, F3, ..... , Fn acting on an object are in equilibrium if the resultant force is the zero vector: F1 + F2 + F3 + g + ........+ Fn = 0. The given forces F1 = 3i - 5j, F2 = 6i + 2j are acting on an object. Then, a. Find the resultant force. b What additional force is required for the given forces to be in equilibrium?
Three people pull simultaneously on a stubborn donkey. Jack pulls eastward with a force of 94.5 N,94.5 N, Jill pulls with 88.1 N88.1 N in the northeast direction, and Jane pulls to the southeast with 181 N.181 N. (Since the donkey is involved with such uncoordinated people, who can blame it for being stubborn?) Find the magnitude of the net force the people exert on the donkey. What is the direction of the net force? Express this as the angle from the east direction between 0°0° and 90°,90°, with a positive sign for north of east and a negative sign for south of east.
The two tugboats apply the forces P and Q to the barge, where P=76 kN and Q=52 kN. Determine the resultant of P and Q.
There are two forces on the 1.19 kg box in the overhead view of the figure but only one is shown. For F1 = 15.7 N, a = 14.7 m/s2, and θ = 34.1°, find the second force (a) in unit-vector notation and as (b) a magnitude and (c) a direction. (State the direction as a negative angle measured from the +x direction.)
In Fig, a slab of mass m1 =40 kg rests on a frictionless floor, and a block of mass m2 =10kg rests on top of the slab. Between block and slab, the coefficient of static friction is 0.60, and the coefficient of kinetic friction is 0.40. A horizontal force of magnitude 100 N begins to pull directly on the block, as shown. In unit-vector notation, what are the resulting accelerations of (a) the block and (b) the slab?
the following example is given: vector1 =+(60.0N)i+(103.9N)j vector2 =+(75.2N)i−(27.4N)j vector 3=−(100.0N)i+(0.0N)j vecor net =+(35.2N)i+(76.5N)j Convert this net force to polar coordinates; that is, find the total vector magnitude and angle. If three forces, 1 , 2 , and 3 , are in equilibrium, what is the relationship between the sum of the first two forces and the third force? Write your answer as an equation. onsider the vector = −(51.7 N)i + (63.9 N)j (a) Convert this value to polar coordinates (magnitude and angle). (b) When converting this to polar coordinates, what answer does your calculator give you for the angle of the vector? Explain whether this is correct or not (including the correct angle if applicable).

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