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

Resulting structure of steel, Resulting structure of steel: Heat treat...

Resulting structure of steel: Heat treatments as mentioned below are given to thin steel strips for which TTT diagram is as shown in Figure 19. What will be the resulting stru

Wire-frame entities-representing ellipse and parabolas, wire-frame entities...

wire-frame entities-representing ellipse and parabolas

Explain introduction of radial drilling machine, Explain introduction of  ...

Explain introduction of  Radial Drilling Machine Machine Name: - Radial Drilling Machine Radial Drilling machine is a machine fitted with a rotating cutting tool known as dr

Equilibrium of body - force acted at any angle, Equilibrium of body - force...

Equilibrium of body - force acted at any angle: Magnitude of force ' p ' which is required to move the body down the plane. When ' p ' is acted with an angle of φ.

Steel ball v/s cotton ball, steel ball v/s cotton ball of same weigt which ...

steel ball v/s cotton ball of same weigt which is easy to lift

Objectives-object-oriented control architecture , Objectives After stud...

Objectives After studying this section, you should be capable to understand: Cell control and modeling, Context level data flow diagram, A common cell control sy

PUMP, We have a reciprocating compressor operating at 800 rpm. Suction pre...

We have a reciprocating compressor operating at 800 rpm. Suction pressure and discharge pressure are held constant by other systems that have nothing to do with the compressor. 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