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

ENGINEERNING DRAWNING, HOW TO PREPARE A DRAWING IN FIRST ANGLE PROJECTION A...

HOW TO PREPARE A DRAWING IN FIRST ANGLE PROJECTION AND THIRD ANGLE PROJECTION AND WHAT IS THEIR BASIC PRINCIPLE AND WE DO NOT MAKE DRAWING IN 2ND ANGLE PROJECTION AND 4TH ANGLE PRO

What is the extension of auger, Extension of auger in the main auger arrang...

Extension of auger in the main auger arrangement The original size of screw conveyer without auger extension is 2.5 m., which is same as size of chassis. Which to be attach wit

Cold service insulation on pipe, Q. Cold service insulation on pipe? Fa...

Q. Cold service insulation on pipe? Factory fabricated sectional pipe insulation shall be applied in staggered joint construction. On multiple layer construction, all joints sh

Building a fermenter for a new product, The first stage of design assumes: ...

The first stage of design assumes: budget is approved, marketing research is complete, product can be made at a price below that which it can be sold, research and development is c

Determine the net work - mechanics, Determine the net work: Q: 5 m ...

Determine the net work: Q: 5 m 3   o f air at 2 bar, 27°C is compressed to 6 bar pressure following PV 1.3   =C . It is expanded subsequently adiabatically to 2 bar. C

Explain about the CAD system, Explain about the CAD system. CAD systems...

Explain about the CAD system. CAD systems generally require considerable processor power and a number of output and input devices; for instance: - Light pens - Large scre

Project, project on solid work 2012 The Final Project is to design a mechan...

project on solid work 2012 The Final Project is to design a mechanical assembly in Solidworks. The design must consist of a minimum of 60 parts, 30 of which must be unique. A uniqu

Explain cutting speed-material removal rate & machining time, Determine- cu...

Determine- cutting speed, Material removal rate and Machining time. A 150 mm long 12.7 mm diameter stainless steel rod is being turned to 12.19 mm diameter on a centre lathe.

Stresses and strains, The round tensile specimen given  below has a diamete...

The round tensile specimen given  below has a diameter of 0.5 in. A load, F, is applied and the deflection, g , is calculated. Given the following                    d = 0.5 in

What are the basic components of an automobile, What are the basic componen...

What are the basic components of an automobile ? Explain them briefly. Show a schematic diagram showing the layout of the transmission system of a rear wheel driven automobile.

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