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

Chemistry, What is a petroleum gas

What is a petroleum gas

Necessity of brakes , Necessity of Brakes To stop a vehicle in nor...

Necessity of Brakes To stop a vehicle in normal as well as emergency conditions. To slow down the speed to turn, pass hurdles etc.

Different types of constrained motions, (a) Illustrate with examples the di...

(a) Illustrate with examples the different types of constrained motions ? (b) Describe in detail the following Mechanism : (i) Single slider crank chain mechanism (ii) Fou

Explain feed - cutting parameters, Explain Feed - Cutting Parameters ...

Explain Feed - Cutting Parameters 1. In cylindrical grinding feed is the longitude movement of the work piece per revolution. f=Feed in mm per work piece revolut

Difference between upstream and downstream in a refinery, The total process...

The total process of a the refining business begins at the oil field or gas field and runs all the way to the sending of processed hydrocarbon to a final user. Upstream applies

The linear dimension command, The Linear Dimension Command            ...

The Linear Dimension Command                                    You can use this command to generate horizontal and vertical dimensions.Creating a linear dimension is eas

Generic cell control class architecture, Generic Cell Control Class Archite...

Generic Cell Control Class Architecture The initial step in designing the system is the development of classes. All classes are assigned responsibilities for specific tasks nee

How do you repair a hydraulic jack, In general, it seems easy: polishing sc...

In general, it seems easy: polishing scored cylinders and pistons, replacing worn seals, existing excessively worn or damaged parts, etc. Though, for an ordinary person, the proble

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