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A uniform steel beam of length L and mass m1 is attached via a hinge to the side of a building. The beam is supported by a steel cable attached to the end of the beam at an angle theta, as shown. Through the hinge, the wall exerts an unknown force, F, on the beam. A workman of mass m2 sits eating lunch a distance d from the building.
http://session.masteringphysics.com/problemAsset/1011053/22/MTS_st_3.jpg

a) Find T, the tension in the cable. Remember to account for all the forces in the problem.

b) Find Fx, the x-component of the force exerted by the wall on the beam ( F), using the axis shown. Remember to pay attention to the direction that the wall exerts the force.

c) Find Fy, the y-component of force that the wall exerts on the beam ( F), using the axis shown. Remember to pay attention to the direction that the wall exerts the force.

2007-11-10 02:06:08 · 2 answers · asked by zoro-kun 2 in Science & Mathematics Physics

2 answers

Since it is not in mortion we can safly esay that:
Sum of x-components=0
Sum of y-components=0 and also
Moment about pivot point=0

1. Sum of x-components=0
Tcos(Theta) - Fx=0
T - tension in the cable
Fx- x component wall reaction

2. Sum of y-components=0
Tsin(Theta) - (m1+m2)g + Fy= 0

Fy - y-component of the walls reaction.

3. Moment about pivot point=0
Tsin(theta) - (1/2)L m1g - d m2g=0
so T= [(1/2)L m1g + d m2g]/sin(theta)

Now you have all the equations.

2007-11-10 03:31:53 · answer #1 · answered by Edward 7 · 0 2

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2016-10-23 23:34:56 · answer #2 · answered by Anonymous · 0 0

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