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

Determine the properties of foundation, Determine the Properties of founda...

Determine the Properties of foundation Soil profile together with natural type and properties of each strata will have a bearing on the choice of foundation. The fact that loa

Shielding gases, SHIELDING GASES Shielding gas is directed by the to...

SHIELDING GASES Shielding gas is directed by the torch to the arc and weld pool to protect the electrode and the molten weld metal from atmospheric contamination.  Argon

Flash butt welding, Flash Butt Welding This process is an extension of ...

Flash Butt Welding This process is an extension of resistance butt welding. The parts to be joined are gripped in the clamps and their interfaces are gradually brought into con

Mechanical data for line designation tables, Line Designation Tables (LDT's...

Line Designation Tables (LDT's) (Appendix "D") are initially generated by the Piping designers. Design conditions are inputed by the Process discipline, and the Mechanical Engineer

Actual absolute velocity, As shown in the figure, the jet transport B is fl...

As shown in the figure, the jet transport B is flying north with a velocity vB = 600 km/h when a smaller aircraft A passes underneath the transport headed in the 60 degree directio

Thermodynamics, What is the concept of continuum? How will you define densi...

What is the concept of continuum? How will you define density and pressure using this concepts

HW engineering Statics, Hello, I need some assistance in solving engineerin...

Hello, I need some assistance in solving engineering statics problems. In the following link, I have uploaded seven questions. I need help solving these problems step-by-step. I

Mr, how is the theory of kinematics applied to secondary machining

how is the theory of kinematics applied to secondary machining

Determine reactions of the overhanging beam, Determine reactions of the ove...

Determine reactions of the overhanging beam: Determine r eactions at points A and B of the overhanging beam as shown in the figure given below.

Different relations used in belt drive, Q. W rite different relations used...

Q. W rite different relations used in belt drive. Sol: Let: D 1 = Diameter of driver N 1 = Speed of the driver in Rotation per minute D 2 = Diameter of the driv

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