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

Objectives of entrepreneurship development , Objectives After studying...

Objectives After studying this unit, you should be able to weigh the merits and demerits of becoming an entrepreneur, discuss the opportunities and financial assis

Truss, how can we modified truss to make sure it can support 20% more force...

how can we modified truss to make sure it can support 20% more forces than usual?

Evaluate the throat diameter of choke, (a) Illustrate why a rich mixture is...

(a) Illustrate why a rich mixture is required for the following (i) idling (ii) sudden acceleration (iii) Maximum power (b) A simple jet carburetor is required to supply 5Kg

Steam turbine, Stea m Turbine: INTRODUCTIO N:   Steam turbine is ch...

Stea m Turbine: INTRODUCTIO N:   Steam turbine is chief mover in which rotary motion can be obtained by a gradual change of momentum of steam. The force exerted on blade is

Thermodynamics, show that energy is property of system

show that energy is property of system

Seam welding-selection of parameters, Seam Welding-Selection of parameters ...

Seam Welding-Selection of parameters The selection of parameters for seam welding depends mainly on: weld nugget size which is related to weld strength. probability of

Driveshaft design, The  impeller driveshaft  can either be top driven or bo...

The  impeller driveshaft  can either be top driven or bottom driven. Again there are advantages of each and the choice often varies with scale of operation: (a) Top driven (labo

Illustrate the first law of thermodynamics, (a) Illustrate the First Law of...

(a) Illustrate the First Law of Thermodynamics for a closed system undergoing a cycle. (b) A piston and cylinder machine contains a fluid system which passes through a complete

Roof mounted fan - air-conditioning guidelines, For fan installation detail...

For fan installation detail and indicate correct structural components, drip pan, acoustical and thermal insulation. Provide special acoustical curbs for critical areas. Chec

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