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.

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(52800) (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 and 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.

RELATED QUESTIONS
A chandelier is suspended from a horizontal beam by two support chains. One of the chains (answered by Boreal)

An overhead crane is suspended from a ceiling by two chains. One chain is 4.6 m long and... (answered by ikleyn)

A string attached to a body of mass 4 kg which rests on a frictionless plane that is... (answered by Solver92311,ikleyn)

A portion of a track for a roller coaster is supported by two beams of different heights. (answered by ankor@dixie-net.com)

A satellite orbiting the earth passes directly overhead at observation stations in... (answered by Theo)

If the strength of a beam is inversely proportional to the length , and a beam 5 m long... (answered by eperette,Mathtut)

what is the formula for find the center of gravity is the wieght are known for both... (answered by checkley75,Ahmath)

I need to find the slope of a roof (I-Beam) From floor to I-Beam at front of building... (answered by rfer)

A uniform beam 3m long weighs 100N. Loads of 50 N and 150 N are placed on the beam at... (answered by ikleyn)