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

What is precipitation, Q. What is Precipitation? Precipitation includes...

Q. What is Precipitation? Precipitation includes rain, snow and hail. The maximum, average, and storm volumes will have an impact on the size and positioning of facilities to c

Design close coiled helical compression spring, Prepare a design of close c...

Prepare a design of close coiled helical compression spring for a service load ranging from 2250 N to 2750 N. The axial deflection of the spring for the load range is 6 mm. Conside

Metallurgy of electron beam welding, Metallurgy of Electron Beam Welding ...

Metallurgy of Electron Beam Welding EBW is capable of joining a variety of materials in a broader thickness range than any other fusion welding process. This is being in

Describe split pattern or two piece pattern, Split pattern or two piece pat...

Split pattern or two piece pattern This is the most widely used type of pattern for intricate castings. When the contour of the casting make sits withdrawal from the mould diff

Tachometer-electrical instruments , Tachometer: This is used to measure th...

Tachometer: This is used to measure the speed (revolutions) of an engine in revolutions per minute (RPM). This is shown in Figure. Figure : Tachometer

Advantages of casting process, Advantages of Casting Process: Electri...

Advantages of Casting Process: Electric Furnace : The melting of steel by electric furnaces developed rapidly for the availability of cheap electric power. Electricity is us

Evaluate the absolute velocity of jet, A jet of water moving at 8 m/sec. im...

A jet of water moving at 8 m/sec. impinges on a concave-shaped vane to deflect the jet through 120 o when stationary. If the vane is moving at 5 m/sec., calculate the angle of jet

Thermodynamics, klfjaljf jlas jfklsj flasj; flkjs fklja sklfj ak;lsfj lkajs...

klfjaljf jlas jfklsj flasj; flkjs fklja sklfj ak;lsfj lkajsf; kljas fkl;ajsd flk;jads fklasjdfl kjkl fjdaskl fjdsklafj ksad ,ma,v. askjlvj kljdfiojajofj adjfkldsj fkljasdf lkjads;

Calculate value of force - mechanics, Calculate value of force: A 100...

Calculate value of force: A 100N force that makes an angle of 45º with the horizontal x axis is to be replaced by the two forces, a horizontal force F and a second force

Derive the equation for the pressure difference, The differential manometer...

The differential manometer (shown below) is used to measure the pressure difference between two vessels. Derive the equation for the pressure difference (pA - pB) in terms of the l

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