Three forces act on an object, with force F2 acting in the positive x direction. (a) Find the magnitude of the net force acting on the object? (b) Find the direction of the net force. The angle is measured from the positive x axis. (c) Find the fourth force that a person would have to exert on the object to make the net force equal to zero.
F1=11.0N at an angle of 40 degrees above the horizontal
F2=12.0N
F3=10.0N along the -y axis
(a) The components of the first force are
The first force vector is
The second force points along the positive x-direction, the second force vector is
The third force points along the negative y-direction, the third force vector is
The net force is the vector sum of these three forces
The magnitude of the net force is
(b)
The x-component of the net force is positive, the net force points to the right. The y-component of the the net force is negative, it points below the x-axis as shown in the above figure. The angle that it makes with the x-axis is
where the negative sign represents that the direction is below the horizontal.
(c) In order to balance the force we need to apply a force of same magnitue but in the opposite direction, as shown in the following figure:
The fourth force makes with the net force. The angle that it makes with the positive x-direction is
The magnitude is the same as the magnitude of the net force.
Three forces act on an object, with force F2 acting in the positive x direction. (a)...
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