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

hammers and mallet-tool and equipment , Hammer/Mallet: Hammer is used to ...

Hammer/Mallet: Hammer is used to strike a job to bring it in shape or otherwise. It is made of carbon steel. The wooden handle does not allow the shock to hand but handles made in

Illustrate strip rolling, a) In strip rolling what is i) Forward slip ii) N...

a) In strip rolling what is i) Forward slip ii) Neutral point. Illustrate with diagram. b) State the conditions for rolling.

Cad - requirements for standard interface, Requirements for Standard Interf...

Requirements for Standard Interface  The interface must be capable of handling all kinds of manufacturing data. There should be no information loss when data is transf

What are design aspects of pelton wheel turbin, Describe with suitable diag...

Describe with suitable diagram the governing of impulse turbines. What are design aspects of Pelton wheel turbine and also explain all the terms. Derive mathematical formula

Determine in flow stream, Derive and solve a model of an insulated water ta...

Derive and solve a model of an insulated water tank with a changing level (i.e., changing tank volume). There is only one in ow stream with a flow rate of 1 kg/sec for t The

Parts of motorcycle , Parts of Motorcycle Figure: Right Side Vie...

Parts of Motorcycle Figure: Right Side View of a Motorcycle 12 Part No. Name Functions 1 Muffler he

Vacuum pressure and absolute pressure - thermodynamics, V acuu m (Or V...

V acuu m (Or Vacuum pressure) (P vacc ): It is pressure of fluid, which is always less than atmospheric pressure. Pressure in a steam condenser is one such examp

Equations by gauss-jordan method, a) Answer the following equations by Gaus...

a) Answer the following equations by Gauss-Jordan method x 1 +2x 2 +x 3 =8 ; 2x 1 +3x 2 +4x 3 =20; 4x 1 +3x 2 +2x 3 = 16 b) Answer the following equations by Relaxation m

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