Atrapeze artist swings in simple harmonic motion with a period of 3.8 s. calculate the length of the cable supporting the trapeze.

show as much work as you can, and : )

As we know that time period of simple pendulum is given as

here we know that

now from above equation we know that

now on rearranging the above equation we will have

now plug in all data into it

so the length of the cable must be 3.6 m

see the picture for the vector

the magnitude of the vector by pythagorean theorem

r = √( (-10)^2 + (3)^2 ) = √109

magnitude = √109 units

the direction angle between vector and x-axis is

tan^(-1)(3/10) = 16.699

so the direction is approximately 16.7 degrees north of west