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

Determine the thermal conductivity of the rod, One end of a rod, 35 mm in d...

One end of a rod, 35 mm in diameter, is diped into a furnace with the other end projecting in the outer air. After the steady state is obtained, the temperature of the rod is evalu

Explain the height adjustment and extension of augers, Normal 0 ...

Normal 0 false false false EN-IN X-NONE X-NONE MicrosoftInternetExplorer4

Determine strain energy stored in coiled helical spring, Determine Strain e...

Determine Strain energy stored in coiled helical spring: For a close coiled helical spring subjected to an axial load of 200 N with 10 coils of wire of diameter 18 mm and buil

Show corrosion loss, Q. Show Corrosion Loss? Additional metal thickness...

Q. Show Corrosion Loss? Additional metal thickness must be added, to compensate for anticipated loss due to metal reacting with the environments to which it is subjected, inclu

Solve the gauss elimination method, a) By Gauss elimination method, solve ...

a) By Gauss elimination method, solve x+2y+z =3 ; 2x+3y+3z =10 ; 3x-y+2z =13 b) Write a ‘C' program to find the solution of the above system of equations by Gauss Jordan meth

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

What are wall footings, What are wall footings? Explain in short. Gener...

What are wall footings? Explain in short. Generally wall footings are required to support direct concentric loads. However, an exception is the wall footings for retaining wall

Draw the shear force diagram of beam, Draw the shear force diagram of beam:...

Draw the shear force diagram of beam: Draw the shear force diagram (SFD) & bending moment diagram (BMD) for the beam illustrated in Figure . Solution Reaction at the s

Mechanical vibrations, The suspension system of a car is modelled as having...

The suspension system of a car is modelled as having an effective stiffness of 5x10 6 (N/m) and an effective mass of 750 (kg). The car is travelling over a road with bumps that ca

Aerospace engineering, An airfoil of surface area 1.5 ft2 is tested for lif...

An airfoil of surface area 1.5 ft2 is tested for lift L in a wind tunnel. At an angle of attack of 7° with standard air of density 0.0024 slugs/ft3 at a speed of 90 ft/sec, the lif

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