Force equilibrium equation, Mechanical Engineering

Assignment Help:

When you arrive at Duke's Dude Ranch, you are greeted by the large wooden sign shown.  The left end of the sign is held in place by a bolt and the right end is tied to a rope that makes an angle of 20.0° with the horizontal.  The sign is 3.20 m long and has a mass of 16.0 kg.

1572_force equilibrium equation.png

a)  Draw a FBD showing the three forces acting on the sign.

b)  Write down the torques due to all three forces, choosing the axis of rotation to be at the bolt.  (Note that the torque due to F is zero because r is zero at the point of contact.)

c)  Write down the torque equilibrium equation and solve for the magnitude of the tension T.

d)  Write down the force equilibrium equation in the x direction.  (Answer:  Fx - Tcos20.0° = 0)  Solve this equation for Fx.

e)  Write down the force equilibrium equation in the y direction.  (Answer:  Fy - mg + Tsin20.0° = 0)  Solve this equation for Fy.


Related Discussions:- Force equilibrium equation

Can you explain pneumatic gauges, Q. Can you explain Pneumatic gauges? ...

Q. Can you explain Pneumatic gauges? Pneumatic gauges permit reading or recording water level at some distance from the river, say up to about 305 m. In a diaphragm type gauge,

Cam-basic components of engine , Cam: This is an integral part of camshaf...

Cam: This is an integral part of camshaft. A cam is designed in such a way as to open or close the valves at the correct timing and keep them open for the necessary duration.

Determine the enhance in volume of the vessel, Determine the enhance in vol...

Determine the enhance in volume of the vessel: A thin spherical vessel of diameter 800 mm and thickness 6 mm is filled through a liquid at an internal pressure of 1.5 N/mm 2 .

Why we need paving in design of a plant, Q. Why we need paving in design of...

Q. Why we need paving in design of a plant? Concrete paving should be provided under any equipment where flammable or hazardous liquids may be spilled during routine operation

Dislocation, Diff. B/w edge and screw dislocation

Diff. B/w edge and screw dislocation

Alloys for cutting tools, Alloys For Cutting Tools  Apart from tool st...

Alloys For Cutting Tools  Apart from tool steels illustrated in further unit, alloys that comprise wholly non-ferrous elements have been enhanced. Such alloys behave superior

MRP 1, Advantages and disadvantages

Advantages and disadvantages

Electron beam welding-aerospace applications, AEROSPACE APPLICATIONS   ...

AEROSPACE APPLICATIONS   The need for EBW as a critical fabrication process in realising elements and assemblies for spacecraft and launch vehicle programmes due to the foll

Locomotive boiler4s, explain working and construction of locomotive boilers...

explain working and construction of locomotive boilers

Calculate the normal time for this operation, a) Describe Industrial Engine...

a) Describe Industrial Engineering. Discuss its scope and use in service and manufacturing industries. b) Deriving the stop watch study in a machine shop, ten observation of a d

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd