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

Design a soda vending machine, Design a soda vending machine that can deliv...

Design a soda vending machine that can deliver three kinds of soda, A, B and C. All the three soda cost the same amount - 70 cents. The vending machine has four coin slots, one eac

Find out the power - hollow shaft, Find out the power - hollow shaft: ...

Find out the power - hollow shaft: A hollow shaft of internal diameter 400 mm & external diameter 450 mm is needed to transmit power at 120 rpm. Find out the power it may tran

Diaphragm spring single plate, Give the working and consideration of a diap...

Give the working and consideration of a diaphragm spring single plate clutch in disengaged position. Discuss in detail the constructional features of a clutch plate. Explain the

What are the constructional aspects of well foundations, What are the Const...

What are the Constructional Aspects of Well Foundations  There are several aspects which require careful consideration during sinking of well foundations. They are i)  Prepa

What is heat treatment and why is it done, What is heat treatment and why i...

What is heat treatment and why is it done? Heat treatment can be described as a combination of operations or processes in which cooling and heating of an alloy or metal is done

Opreation reserach, please give the simple step with example to solve the o...

please give the simple step with example to solve the optimality test???

Explain armature core and armature winding - dc generator, Armature core an...

Armature core and armature winding  Armature is the rotating part of the machine. It is cylindrical in shape with slots on its outer periphery. It houses the armature conducto

Heat removal factor, 1.Calculate the heat-removal factor for a collector ha...

1.Calculate the heat-removal factor for a collector having an overall heat-losscoefficient of 6 W/m2K and constructed of aluminum fins and tubes. Tube-to-tube centered distance is

High duty tool and die steels, High Duty Tool and Die Steels: High du...

High Duty Tool and Die Steels: High duty punching tools or dies are made out of a lot of various steels of fairly high alloying contents. High-carbon high-chromium die steel

Give a working design for motor - belt system, you are to produce a working...

you are to produce a working design for the fan, motor, belt system. You are to produce an assembly model and other such drawings as are necessary to explain your design together w

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