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

#totto cycleitle.., for an otto cycle, compression ratio=8.5:1,air inlet=15...

for an otto cycle, compression ratio=8.5:1,air inlet=15degree celsius and pressure=101.3kpa, maximum cycle temperature= 1800degree celsius, what is temperature after compression,te

What are the problem arise in pile foundation, What are the problem arise i...

What are the problem arise in pile foundation Problems can also arise in providing pile foundations in residual soils which are underlain by sloping rock. Special rock sockets

Turnouts, Turnouts: A turnout is an assembly of various components wh...

Turnouts: A turnout is an assembly of various components whereby a train running on one track may be diverted to another. A sketch of a left-hand turnout is given in Figur

Evaluate the deflection at the free end of the cantilever, Evaluate the def...

Evaluate the deflection at the free end of the cantilever: Discover the slope and deflection at the free end of the cantilever illustrated in Figure . Take EI = 200 × 10 6 N-

Heat treatment, what is properties , uses and process ?

what is properties , uses and process ?

Determine the maximum shear stress, Determine the maximum shear stress: ...

Determine the maximum shear stress: A beam of triangular cross section of base width 120 mm & height 80 mm is subjected to a shear stress force of 3 kN. Determine the maximum

Thermocouple, calibration curve standard temparature vs indicator tempratur...

calibration curve standard temparature vs indicator temprature.

COMPRESSOR PROBLEM FROM CUSTOMER, OUR CUSTOMER HAD APROBLEM WITH OUR CUSTO...

OUR CUSTOMER HAD APROBLEM WITH OUR CUSTOMER ,AND ME AS AMECHANICLAL ENGINEER FOUND THE PROBLEM

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