SOLUTION: A box weighing 415N is hanging from two chains attached to an overhead beam at angles of 56° and 49°. Find the magnitude of the tension in each chain algebraically.

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Question 1163661: A box weighing 415N is hanging from two chains attached to an overhead beam at
angles of 56° and 49°. Find the magnitude of the tension in each chain algebraically.

Answer by ikleyn(52799) About Me  (Show Source):
You can put this solution on YOUR website!
.

Since I do not see the Figure in the post, I don't know if the angles are with the beam or with the vertical.

You should provide this info in your post.


But in any case, you introduce two unknowns T%5B1%5D and T%5B2%5D that are the tensions, i.e. magnitudes of forces along the chains.

Then you express the x-component and y-component of every force.

Then you write the equilibrium equations.

First equilibrium equation says that the sum of vertical components is equal to the given weigh.

Second equilibrium equation says that the sum of horizontal components is zero.

Then you solve the system of two equations in two unknowns and get the answer.


I completed my teaching and now is open to accept your "THANKS" for it.