Configuration I Four forces acting on the central ring are expressed in terms of

Question

Configuration I Four forces acting on the central ring are expressed in terms of their magnitudes and directions: (1.96 N,o°), Fi - (0.950 N,10), 180), and F - (P, 270P). Calculate the values of Fs and Fs that will bring the Remember, if the system is in equilibrium, the sum of the r-components must add up to zero newtons and the sum of the y-components must add up to zero newtons. For example, Fs only has a component in the negative a-direction, thus the r-component of the force is expressible as FsFs and the y-component of is expressible as system into equilibrium. Be carefu ul! Even though the entire force vector lies along the a-axis, the magnitude of the vector is not conceptually the same as the component of the vector. In general, F F, unless you can demonstrate otherwise; so pay attention to your subscripts.

Explanation / Answer

Given that,

F1 = 1.96 N , 0 deg

F2 = 0.98 N , 120 deg

F3 = F3 , 180 deg

F4 = F4 , 270 deg

Net force in x direction,

F1 + F2 cos 120 + F3 = 0

1.96 + 0.98 cos120 - F3 = 0

F3 = 1.47 N (-x direction)

Net force in y direction,

F2 sin 120 - F4 = 0

F4 = 0.848 N

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