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

Risk Management in Construction Projects, What is the turnaround time for a...

What is the turnaround time for a 10-page assignment?

Evaluate the crippling load, A cast iron hollow column, having 100mm extern...

A cast iron hollow column, having 100mm external diameter and 80mm internal diameter is used as a column of 2.4 m length. Using Rankine formula, calculate the crippling load, when

Determine the horizontal component of the force, Determine the horizontal c...

Determine the horizontal component of the force: A force of 80 N is working on a bolt as illustrated in Figure. Determine the horizontal and vertical components of the force.

Internal and external diameters - solid shaft, Internal and external diamet...

Internal and external diameters - solid shaft: Two shafts are of the similar material, length & weight. One is solid & of 100 mm diameter, the outer is hollow. If hollow shaft

Components of steam power plant, Component s of Steam Power Plant: Th...

Component s of Steam Power Plant: There are four components of steam power plant: 1. The boiler: Hot-source reservoir in which the combustion gases raise steam. 2. Engi

Heat removal factor, 1.Calculate the heat-removal factor for a collector ha...

1.Calculate the heat-removal factor for a collector having an overall heat-losscoefficient of 6 W/m2K and constructed of aluminum fins and tubes. Tube-to-tube centered distance is

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

wire-frame entities-representing ellipse and parabolas

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