A student was given two forces and asked to find a single force that would produ
ID: 1912785 • Letter: A
Question
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: Fx= -2.7N; angle= 220 degrees Force 2: Fy= 3.2N; 60 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.Explanation / Answer
example Calculate the magnitude of the total resultant force acting on the mass.? The diagram below shows a block of mass on a frictionless horizontal surface, as seen from above. Three forces of magnitudes ,F1=4N angle 25,F2=6N 180,F3=8N 325 are applied to the block, initially at rest on the surface, at angles given. In this problem, you will determine the resultant (total) force vector from the combination of the three individual force vectors. All angles should be measured counterclockwise from the positive x axis (i.e., all angles are positive). What angle does make with the positive x axis? What is the magnitude of the mass's acceleration vector, ? What is the direction of ? In other words, what angle does this vector make with respect to the positive x axis? How far (in meters) will the mass move in 5.0 s? What is the magnitude of the velocity vector of the block at ? In what direction is the mass moving at time ? That is, what angle does the velocity vector make with respect to the positive x axis? ans Split each force into two components, one parallel to the X axis and one to the Y. For force F at angle @: Fx = F cos @ Fy = F sin @ The net force is the sum of all the components: Fnx = F1x + F2x + F3x, Fny = F1y + F2y + F3y You can use the equations in reverse to get the combined force: Fn = sqrt(Fnx^2 + Fny^2) @n = arctan(Fny, Fnx) Now that you've got the magnitude of the force and its direction, you should be able to do the rest of the problem.
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