(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Consider the following cantilevered beam:

The beam has a mass of m = 25 kg and is 2.2 meters long. The suspended block has

a mass M = 280 kg and the supporting cable makes an angle of 30 degrees with the beam.

Determine the force that the wall exerts on the beam at the hinge and determine

the tension in the supporting cable.

(There's a horizontal beam making a 90 degree angle with a wall. At the end of the beam, there's a string with the 280 kg block. Also, there's a string connecting the top of the wall to the end of the beam. )

2. Relevant equations

∑F=0

∑T=0

3. The attempt at a solution

1) I converted the weight of the block and the beam to newtons.

280 kg x 9.8 m/s^2 = 2744 N

25 kg x 9.8 m/s^2 = 245 N

2) Using the first condition of equilibrium,

245 + 2744 = 2989 N = Downward force = Upward force by string making 30 degree angle with beam

3) Using sine law

Force toward the left of the string = 2989 sin 60/sin 30 = 5177.1 N = Force toward the right by the wall

4)

Squareroot of quantity Fx^2 + Fy^2 = 5978 N = Tension on string

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# Homework Help: Conditions of equilibrium problem

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