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

Material selection and process mapping, Material Selection and Process Mapp...

Material Selection and Process Mapping Selecting an optimal material from numerous candidates in one competitive aspect of manufacturing depends on factors such as properties,

Lami''s theorems, alternative theorems for lamis theorem

alternative theorems for lamis theorem

Mechanical vibrations, The suspension system of a car is modelled as having...

The suspension system of a car is modelled as having an effective stiffness of 5x10 6 (N/m) and an effective mass of 750 (kg). The car is travelling over a road with bumps that ca

Simple harmonic motion, how to e solve motion of followers in simple harmon...

how to e solve motion of followers in simple harmonic motion. what is the angle thita?

Lifting machine, all information about lifting machine

all information about lifting machine

Explain gear forming, Explain Gear Forming In gear form cutting, cuttin...

Explain Gear Forming In gear form cutting, cutting edge of the cutting tool has a shape similar with the shape of the space among the gear teeth. Two machining operations, mill

Cross drainage works, Cross Drainage Works: Culverts A large ...

Cross Drainage Works: Culverts A large number of culverts are needed for taking care of the streams crossing the railway lines. The culverts can be one of the followi

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

wire-frame entities-representing ellipse and parabolas

Minimum stopping distance, Assume we want to determine the minimum stopping...

Assume we want to determine the minimum stopping distance of an automobile traveling at 60 mph. We again assume that the maximum value of µ is unity. Then the maximum deceleration

Rankine cycle, A cycle stream power plant is to be designed for stream temp...

A cycle stream power plant is to be designed for stream temperature and turbine 350

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