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

Resolving all of the forces normal to the inclined plane, Resolving all of ...

Resolving all of the forces normal to the inclined plane: A body weighing 500 N is resting on an inclined plane making an angle of 30 o with the horizontal. The coefficient o

What is the basic working of cooling tower, Q. What is the basic working of...

Q. What is the basic working of Cooling Tower? Cooling towers are generally located downwind from process units to adequately disperse vapors (from exchanger leaks) and minimiz

Resolution of a force - mechanics, Resolution of a force: Sol.: When...

Resolution of a force: Sol.: When a force is resolved into two parts along the two mutually perpendicular directions, without changing the effects of it on the body, the par

Determine the total earnings of the worker by rowan premium, Give important...

Give important wage incentive plans for direct workers. Give advantages and limitations of each plan. a) Standard time for a given job is 15 hours and hourly rate of wages is 50

Optimization, consider the following LPP max z=9x1+8x2+5x3 subject to 2x1+3...

consider the following LPP max z=9x1+8x2+5x3 subject to 2x1+3x2+x3 5x1+4x2+3x3 x1,x2,x3>_0 (a)solve using simlex method (b)hence using the sesitivity analysis,find the new optima

What are main important terms included in the footings, What are main impor...

What are main important terms included in the footings? Term included in the footings: a. described different types of footings and the process of selecting each type, b.

Vibration damping and size-factors in clutch design , Vibration Damping : ...

Vibration Damping : Suitable mechanism should be incorporated within the clutch to eliminate (to reduce it drastically) noise produced in the transmission. Size : The size of

Design, Hi I am new tutor here Pankaj kumar I got the mail for the verif...

Hi I am new tutor here Pankaj kumar I got the mail for the verification and i regitered now . But how can i get the sample assignment for the further process.

Sweep representations of two-dimensional area, Sweep Representations  T...

Sweep Representations  The simplest form of sweep is that produced by sweeping a two-dimensional area along an axis perpendicular to its plane. This form of sweep is most usefu

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