A rod AB moves in a plane such that the end B describes a circle if center C and radius a with uniform angular velocity ω and the end A moves in a straight line passing through C. Prove that if AB= a, the motion of A is simple harmonic motion. Find the amplitude and the periodic time of this motion.

a box 3 3/4 feet long or 4+ feet.

step-by-step explanation:

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is

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