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

Production function for bicycles, Let B be the number of bicycles formed  f...

Let B be the number of bicycles formed  from F bicycle frames and T tires. Each bicycle require exactly two tires and one frame. a. Sketch the isoquants for bicycle production.

Lighting system , Lighting System :   The motorcycle lighting system consi...

Lighting System :   The motorcycle lighting system consists of head light, turn indicators, brake lights and panel board lights. Figure shows a DC circuit of the electrical system

Illustrate working of double acting steam engine, Illustrate working of dou...

Illustrate working of double acting steam engine. What is its diagram factor and thermal efficiency?

Maintenance operations, Maintenance Operations: The maintenance opera...

Maintenance Operations: The maintenance operations cover various activities such as: (a) making good rain cuts in embankment, (b) clearing the side ditches of vegetatio

Diesel cycle, wath is diesel cycle with diagram

wath is diesel cycle with diagram

Define verband der automobilindustries flachenschnittstelle, Verband der Au...

Verband der Automobilindustries Flachenschnittstelle (VDAFS) This interface was developed by the Association of the German Automobile Industry for the transfer of 3-D curves an

Axial flow turbine, The mass flow rate is 28kg/s in an axial flow gas turbi...

The mass flow rate is 28kg/s in an axial flow gas turbine that develops 3.5MW. The stagnation conditions are 780KPa and 730 deg.C. at the entry. At the exit of the nozzle, the stat

Piston and piston rings - part of combustion engine, Piston and Piston Ring...

Piston and Piston Rings - Part of combustion engine: Piston: The piston reciprocates within cylinder and transmits force exerted by expanding gases to crank by means of conn

What is boiler feedwater, Q. What is Boiler feedwater? The boiler feedw...

Q. What is Boiler feedwater? The boiler feedwater will be a mixture of desalinated water, treated make-up water and returned condensate, deaerated and heated, supplied by other

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