Hinges Cable
Hinges Cable
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Physics Problem!! HELP!! A beam attached to the wall, supported by a cable!?
A 34.0 kg beam is attached to a wall with a hinge while its far end is supported by a cable such that the beam is horizontal.
If the angle between the beam and the cable is θ = 62.0° what is the vertical component of the force exerted by the hinge on the beam?
Forces acting on beam:
W: weight of beam (downward), located at center of beam (assuming uniform beam)
T: cable tension (up along cable), applied at beam end
A: vertical (assume up) force from hinge
B: horizontal (assume outward) force from hinge
Assume arbitrary length L for beam. A value might or might not be necessary
Moments on beam about hinge point (Counterclockwise is positive):
Due to weight: M_w = -W*L/2
Due to tension: M_t = T*L*sin(theta)
Moment balance:
M_w + M_t = 0
Therefore:
T*L*sin(theta) = W*L/2
Cancel L's:
T*sin(theta) = W/2
Solve for T:
T = W/(2*sin(theta))
Vertical force balance on beam:
A + T*sin(theta) - W = 0
A = W - T*sin(theta)
A = W - W/2
Result for A
A = W/2
Horizontal force balance on beam (this wasn't asked for, but it is an easy bi-product):
B - T*cos(theta) = 0
B = T*cos(theta)
result for B
B = W/(2*tan(theta))
Plug in data: W:=m*g; g:=9.8 N/kg; m := 34 kg; theta = 62 deg;
A = 166.6 Newtons (Final answer)
B = 88.58 Newtons
T = 188.7 Newtons
How Cable Lighting Improves Your Home Beauty?
Cable lighting is a variation of track lighting where the fixtures are suspended from un-insulated cables that carry low voltage. The fixtures used can range from very simple—such as two-hinged rods—to artful like the human silhouette, whose hands hold the socket while the feet touch the wires.
Cable track lighting is prepared using two sets of cables that are connected together with short wires that have clips at either end. They are low-voltage lighting system where the wire that provide the electricity is a pair of cables.
When used in a room, cable track lighting can add a unique decorating touch. It can be used to provide indirect outdoor lighting and indoor. Since the cable used is very cheap and easy to prepare, it can be used anywhere. Its purpose is limitless.
Many people use cable lighting for decorating, accentuating and safety reasons. Commonly they are used in places where the mounting surface is truly a challenge. Rooms that have high ceilings, cathedral, vaulted ceilings and ceilings that are interrupted with soffits, ductwork or beams may use for short runs of twenty feet, which are installed from wall to wall without any vertical support at all.
If there are places that need longer cable runs longer than twenty feet, additional vertical support is required to avoid unnecessary tension from stressing the mounting points on the wall. If the ceilings are flat and standard, cable track lighting is preferred over other linear lighting systems like the monorail or traditional track lighting systems.
Cable lighting is perfect for task lighting, accent lighting and decorative lighting. To achieve balance in lighting, cable lighting should be accompanied by other lighting system or sources of light. Because it can be installed and moved around with ease, they are ideal for art galleries and places that need focal point light to move often.
Generally, you can see cable track lighting in the restaurants and museums. However today, many homeowners are seeing the beauty, comfort and convenience that this humble lighting system provides. In winter, cable track lighting plays a key role in decorative lighting for indoor and outdoor.
Cable is strung along the roofline with shingle clips producing spectacular winter holiday scenery. And since they are quite cheap, they are the excellent options for decorating homes for less.
Cable lighting does very well to light dark paths or drive that leads to your house. You will only have to run the cable down the perimeters of the path with the help of ground stakes to hold the length of the lighting fixture in place. It not only add a distinguished look to your property, but serves to guide people to your house.
Many boat sailing enthusiasts also use cable track lighting not only to lighten their docks and decks, but also to cause admirable glances from boaters in the evening. Stringing a cable light along the edges of the dock can be very stunning especially when the illumination reaches the waters.
About the Author
Come by http://www.mylamps.com to see the different shapes of cable lights. You have a multitude of cable lighting to really create exciting rooms. Take a look at the gem draped low-voltage halogen art glass pendant. Do you have a plan on how you want to use this type of lighting? Come now to Pendant lighting and discover a new life for your home.
Zugspitze cable car -- Ride of our life!!
