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

Explain concept of tapping of radial drilling machine, Explain concept of T...

Explain concept of Tapping of radial drilling machine Tapping:- Tapping is the method by which internal threads are produced. It is performed either by hand or by machine.

Calculate the natural frequency, (a) Calculate the natural frequency of mas...

(a) Calculate the natural frequency of mass m = 1 Kg placed at one end of a cantilever beam of negligible mass. Length of cantilever = 500 mm, d = 30 mm, b = 20 mm, E = 210x10 9 N

Show seismic loads for ground supported equipment, Q. Show Seismic Loads Fo...

Q. Show Seismic Loads For Ground Supported Equipment? V = C s W is the governing equation for horizontal seismic base shear of ground supported equipment. C s  = 1.2A v S/(RT

Computational mechanics in design, Figure shows an impression of one of man...

Figure shows an impression of one of many lifting arrangements produced and used at a steel fabrication workshop. It was manufactured to lift a maximum of 50 kg and due to a produc

Illustrate the various functions of clutch, Illustrate the various Function...

Illustrate the various Functions of clutch and also explain the Principle of frictions Clutch ? What is the requirement of Transmission System & Explain the Arrangemnet for P

Concept of continuum - thermodynamics, Concept of continuum - thermodynamic...

Concept of continuum - thermodynamics: Sol: Even the simplification of matter into molecules, atoms, electrons, etc. is too complex a picture for many problems of thermodyna

Define teh gas welding, Gas welding is a method of joining two metal piece...

Gas welding is a method of joining two metal pieces (similar or dissimilar) together by melting and fusing their edges at the joint. It involves applying intense concentrated flam

Compute the ratio of the torque, Compute the ratio of the torque: Comp...

Compute the ratio of the torque: Compute the ratio of the torque transmitted by a hollow & a solid shaft of the similar material, length & weight. Solution d i = inte

Show the vessel internals, Q. Show the vessel internals? Functional des...

Q. Show the vessel internals? Functional design of trays and other removable internals are outside the scope of this document. Removable internals shall be sized to pass thr

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