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

Computerized scheduling and control manufacturing systems, Characteristics...

Characteristics Computerized Scheduling And Control Manufacturing Systems Introduction This section illustrates the unique characteristics of CCS or Computer Controlled Sc

Biofluids mechanics, in fontan circulation that is represented as a circuit...

in fontan circulation that is represented as a circuit

Terminology used in combustion engine, TERMINOLOG Y: 1 .     Top de...

TERMINOLOG Y: 1 .     Top dead and Bottom dead Centre: These are 2 extreme positions between which the piston reciprocates inside the cylinder. TDC and BDC have relevance

Battery electrolyte and gases and brake fluid safety tips, Battery Electrol...

Battery Electrolyte and Gases Battery emits explosive gases, keep sparks and flames away. Ensure adequate ventilation while charging the battery. Brake Fluid Spilling

Geometric modelling, Geometric modelling: Geometric modelling is an in...

Geometric modelling: Geometric modelling is an integral part of any Computer-Aided-Design (CAD) system. Integration of geometric modelling; computer graphics along with design

Explain systematic way to reach a 2d formation, Question 1: There are d...

Question 1: There are different devices which may be used to attract the attention of the customers and persuade them to purchase merchandise. a) Make a list of at least te

Shear force and bending moment diagrams and contra flexure, Draw the shear ...

Draw the shear force and bending moment diagrams for the beams shown in Figures 4 and 5. Also find the maximum shear force, bending moment and the points of contra-flexure

Alloy steels, Alloy Steels: Carbon steels in their commercial forms al...

Alloy Steels: Carbon steels in their commercial forms all times comprise specific amounts of other elements. A lot of of these elements enter the steel from the ores and it is

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