A 1205-N uniform beam is attached to a vertical wall at one end and is supported
ID: 1288955 • Letter: A
Question
A 1205-N uniform beam is attached to a vertical wall at one end and is supported by a cable at the other end. A W = 1925-N crate hangs from the far end of the beam. Using the data shown in the drawing, find the following.
(a) the magnitude of the tension in the wire =
(b) the magnitudes of the horizontal and vertical components of the force that the wall exerts on the left end of the beam.
horizontal = vertical = A 1205-N uniform beam is attached to a vertical wall at one end and is supported by a cable at the other end. A W = 1925-N crate hangs from the far end of the beam. Using the data shown in the drawing, find the following. (a) the magnitude of the tension in the wire = (b) the magnitudes of the horizontal and vertical components of the force that the wall exerts on the left end of the beam. horizontal = vertical =Explanation / Answer
a) balancing moment about hinge point,
mgcos30 x L/2 + Wcos30 x L - Tsin(30 +50) x L = 0
1205 x cos30 /2 + 1925cos30 - Tsin80 = 0
T =2222.65 N
b) Vx = Tcos50 = 1428.69 N
Vy = 1205 + 1925 - 2222.65sin50 = 1427.35 N
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