A 1270-N uniform beam is attached to a vertical wall at one end and is supported

Question

A 1270-N uniform beam is attached to a vertical wall at one end and is supported by a cable at the other end. A W = 1900-N crate hangs from the far end of the beam.

[The picture shows a beam held at the end by a string and the angle is 50 degrees between the ground and the top part on the beam. The bottom of the beam is angled at 30 degrees with the ground]

(a) Using the data shown in the drawing, find the magnitude of the tension in the wire.
? N

(b) Using the data shown in the drawing, find the magnitude of the horizontal and vertical components of the force that the wall exerts on the left end of the beam.
horizontal ? N
vertical ? N

Explanation / Answer

a) The weight of beam, Wb = 1270 N The weight of crate, Wc = 1900 N up torques = down torques T L sin80 =   1270 *(1/2)L * sin60 + 1900 * L * sin60 eliminate L from each term, and      T * 0.9848 =   1270 *0.433    + 1900 * 0.866                T = 2229.2  N b) b)     verticallu up forces = downforces               T sin50 + force from wall = 1270 + 1900        vert  force from wall = 1270 + 1900 - T*sin50 =  1462.33 N   and horiz forces on bar can be findout as the following.        left forces = right forces     T cos50 =   force fromwall    horiz force from wall = T*cos50 = 1432.9 N

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