A 1400-N uniform beam is attached to a vertical wall at one end and is supported
ID: 1290074 • Letter: A
Question
A 1400-N uniform beam is attached to a vertical wall at one end and is supported by a cable at the other end. A 1960-N crate hangs from the far end of the beam. Using the data shown in the figure, find (a) the magnitude of the tension in the wire and the magnitudes of the (b) horizontal and (c) vertical components of the force that the wall exerts on the left end of the beam.
A 1400-N uniform beam is attached to a vertical wall at one end and is supported by a cable at the other end. A 1960-N crate hangs from the far end of the beam. Using the data shown in the figure, find (a) the magnitude of the tension in the wire and the magnitudes of the (b) horizontal and (c) vertical components of the force that the wall exerts on the left end of the beam.Explanation / Answer
(a)
The horizontal component of froce Hx
The vertical component of froce Vy
The beam is in equilibrium position and uniform, so,
?? = 0
?Fx = 0
?Fy = 0
to find the unknown we take the axis of rotationto be at the left end of the beam
taking the sum of torques to be zero we get
?? = -Wb ((1/2)Lcos30o) - Wc (L cos30o) + T (Lsin80o)
= 0
Here, Wb is the weight of the bar and Wc is the weight of the crate.
T = w(b) ( 1/2 ) cos30 +w(c) cos30/ sin80
=(1400 kg)(0.433)+(1960 kg)( 0.88)
=2329.8 N
(b)
Taking ?Fy = 0 we get,
?Fy =Wb +Wc -T sin50o
Vy = T sin50o
Vy = 1784.7 N
(c)
Taking ?Fx = 0 we get
?Fx= Hx - T cos50o
=0
Hx = T cos50
= (2329.8 N) cos50
=1497.6 N
Related Questions
drjack9650@gmail.com
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.