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 the automation in machining, Explain the Automation in Machining? ...

Explain the Automation in Machining? The word "automatic" is derived from Greek and it means "self-moving or "self thinking". The word "automation" has been used to refer to a

Painting of structural components of skid, Q. Painting of structural compon...

Q. Painting of structural components of skid? Sandblasting and priming shall be carried out prior to assembly, and shall include all bolt holes, flange faces, etc. Flange gaske

General corrosion rates of castings, Q. General corrosion rates of castings...

Q. General corrosion rates of castings? Austenitic stainless steels (300 series) are very resistant to caustic in concentrations up to 50% and temperatures below 200 o F (95 o

Find out the strain energy stored, Find out the strain energy stored: ...

Find out the strain energy stored: A close coiled spring is subjected into an axial moment of 16 N-m. If the spring contains 15 coils with wire diameter of 10 mm and mean coil

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

Piercing press tool, computer aided design of piercing press tool

computer aided design of piercing press tool

Define principal process for electron beam machining, Define Principal Proc...

Define Principal Process for Electron Beam Machining A beam of electrons is emitted from the electron gun which is basically following three points. 1. A cathode whic

Frictionless pulley, Frictionless pulley: The frictionless pulley A ...

Frictionless pulley: The frictionless pulley A is being supported by two bars AB and AC which are hinged at points B and C to a vertical wall. The flexible cable D

High growth for automobiles industry growth , High growth has been observe...

High growth has been observed since 2001-02 in automobile production. Annual growth was 16.0 percent in April-December, 2004; the growth rate in 2003-04 was 15.1 percent (Table 1.

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