An object of mass m is being acted by the following 3 forces: F1 = 500 N @ 45° North of East, F2 =750 N @ 30° West of North and F3 = 400 N @ 30° South of West. Find mathematically the magnitude and direction of a fourth force F4 that will maintain the object at equilibrium. %3D Ignore the weight of the object. Provide free body diagram for the system and the sum of the forces along the axis.
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- Two equal forces F and F makes an angle of 180° with each other. These forces act on a single body. What is the magnitude of their resultant?A plane leaves the airport in Manila and flies 170 km east and then changes direction to fly 230 km 58° north of east, after which it makes an immediate emergency landing in a pasture. When the airport sends out a rescue crew, in which direction and how far should this crew fly to go directly to this plane? Use the Law of sines and cosines to solve this problem.A block with a mass of m = 32 kg rests on a frictionless surface and is subject to two forces acting on it. The first force is directed in the negative x-direction with a magnitude of F1. The second has a magnitude of F2 and acts on the body at an angle θ = 23° measured from horizontal, as shown.Write an expression for the magnitude of the normal force, FN, acting on the block, in terms of F2 and the other variables of the problem. Assume that the surface it rests on is rigid. The two forces change such that F1 = 11 N and F2 = 21.5 N. Based on this change, the block may no longer be in static equilibrium. Find the block's acceleration in the x-direction, ax, in meters per second squared.A block with a mass of m = 45 kg rests on a frictionless surface and is subject to two forces acting on it. The first force is directed in the negative x-direction with a magnitude of F1. The second has a magnitude of F2 and acts on the body at an angle θ = 17° measured from horizontal, as shown. 1) Write an expression for the magnitude of the normal force, FN, acting on the block, in terms of F2 and the other variables of the problem. Assume that the surface it rests on is rigid. 2) The two forces change such that F1 = 9.5 N and F2 = 23.5 N. Based on this change, the block may no longer be in static equilibrium. Find the block's acceleration in the x-direction, ax, in meters per second squared.