# Vector polygon to solve for the forces on a block in equilibrium on a plane.

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A block whose weight is W= 250 nt is on a frictionless plane which is at angle q= 25 degrees. A cable between the ceiling and the block makes an angle q=55 degrees from the ceiling. See ATTACHMENT1 for a diagram with given parameters, angles, physics statements, and a polygon created from known information. Also an illustration of the Law of Sines and Law of Cosines.

Find the force C in the cable, and the normal force N on the block by the plane.

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Solution:

Physics methods:

You have a choice of three methods to use for this solution:

#1. Draw the known vector W to scale, for example, 1 cm = 25 nt, then

draw the vectors N and C in their known direction such that they

connect to form a closed polygon, then measure them to the same

scale as above.

#2. On the 'not to scale' drawing of the polygon on ATTACHMENT2, ...

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