A stoplight weighing 200 Newtons is hung between two poles that are 10 meters apart. One...

 

Transcribed Image Text:

A stoplight weighing 200 Newtons is hung between two poles that are 10 meters apart. One pole is 8 meters tall, and the other is 11 meters tall. The stoplight is hung by attaching one rope from the top of each pole to a ring at the top of the stoplight. The stoplight is to hang 6 meters off of the ground (measured from the ring). As seen in the following image, the fixed dimensions of the pole heights and the stoplight height are in blue. The sample stop light location is given as z meters from the left pole, and the resulting ropes have tensions T and T (all shown in orange). Other possible stoplight locations are depicted as well (that result from different values of z). 8 meters x meters 12 000 6 meters 00 11 meters 10 meters Give the location of the stoplight so that there is essentially equal tension (i.e. tension magnitudes) in both ropes. (Hint: At a particular z-value, there is a resulting system of equations by which you can solve for the tensions. You can use the MATLAB code provided in the MATLAB Support section to quickly solve multiple systems of equations and hone in on the desired location.) A stoplight weighing 200 Newtons is hung between two poles that are 10 meters apart. One pole is 8 meters tall, and the other is 11 meters tall. The stoplight is hung by attaching one rope from the top of each pole to a ring at the top of the stoplight. The stoplight is to hang 6 meters off of the ground (measured from the ring). As seen in the following image, the fixed dimensions of the pole heights and the stoplight height are in blue. The sample stop light location is given as z meters from the left pole, and the resulting ropes have tensions T and T (all shown in orange). Other possible stoplight locations are depicted as well (that result from different values of z). 8 meters x meters 12 000 6 meters 00 11 meters 10 meters Give the location of the stoplight so that there is essentially equal tension (i.e. tension magnitudes) in both ropes. (Hint: At a particular z-value, there is a resulting system of equations by which you can solve for the tensions. You can use the MATLAB code provided in the MATLAB Support section to quickly solve multiple systems of equations and hone in on the desired location.)

Answer rating: 100% (QA)

The image youve provided describes a problem where a spotlight weighing 200 Newtons is hung between ... View the full answer