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

Evaluate the specific enthalpy - thermodynamics, Evaluate the specific enth...

Evaluate the specific enthalpy - thermodynamics: Steam is being generated in a boiler at a pressure of 15.25 bar. Calculate the specific enthalpy when ( i )  Steam i

What are the standards for product modeling, Standards for product modeling...

Standards for product modeling. The models include : (a)  A presentation model which defines the type of presentation of information. For instance how the product can be vi

Branches of mechanics, Branches of mechanics: Mechanics is basically d...

Branches of mechanics: Mechanics is basically divided in to two parts Static's and Dynamics, Dynamics is further divided in kinematics and kinetics Statics: It deals with

Determine the force to pull box along a level surface, Determine the force ...

Determine the force to pull box along a level surface: A metal box having weight 10KN is pulled along a level surface at the uniform speed by applying horizontal force of 350

Thrust and pressure, Thrust: The net force exerted by a liquid on any shie...

Thrust: The net force exerted by a liquid on any shield in contact with it, is called as thrust of liquid. Pressure:  The thrust operated by a liquid per unit area of the fie

Phycics, digram of michelson inteferometer

digram of michelson inteferometer

Explain the principle of screw conveyer, Explain the Principle of screw con...

Explain the Principle of screw conveyer When materials are feed into the fixed chutes, due to action of gravity of materials and the friction force between material and chute t

Production, what is tooling economics, machine economics and optimization

what is tooling economics, machine economics and optimization

Types of coated electrodes-cellulosic electrodes, Cellulosic Electrodes I...

Cellulosic Electrodes In the AWS E 6010 and E 6011 series of electrodes, the protective covering is composed of cellulose (C6H10O5) and silicate binders. The cellulose decomposes

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