A 5 kg uniform square plate is supported by two identical 1.5kg uniform slender rods AD and BE and is released from rest inthepostion theta 45 degrees. Knowing that the angular velocity ofAD as it passes through the vertical position is 5.2 rad/sdetermine the amount of energy dissipated infriction.

Bevan Mcdonald

Bevan Mcdonald

Answered question

2021-04-04

A 5 kg uniform square plate is supported by two identical 1.5kg uniform slender rods AD and BE and is released from rest inthepostion theta 45 degrees. Knowing that the angular velocity ofAD as it passes through the vertical position is 5.2 rad/sdetermine the amount of energy dissipated infriction.

Answer & Explanation

Isma Jimenez

Isma Jimenez

Skilled2021-04-06Added 84 answers

The first step is to find the total potential energy at 45 degrees:
To do this you must find the height using trigonometry
PE=mgh=(1.5)(9.81)(200sin(45)(2001000)=0.86198 J
Since energy is conserved the kinetic energy at the bottom of thependulum must equal the potential at the top minus the energydissipated.
KE=0.5mv2=0.5(1.5)(20010005.2)2=0.8112 J
So energy dissipated =PE-KE=0.05078 J

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?