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

Shock absorbers, how bike''s hydraulic shock absorbers work?

how bike''s hydraulic shock absorbers work?

Evaluate the motion - smooth pulley, Evaluate the motion - Smooth pulley: ...

Evaluate the motion - Smooth pulley: Block B is accelerated along the horizontal plane via mass A attached to it by a flexible inextensible massless rope passing over a smooth

Centrifugal air compressor, Centrifugal air compressor: A centrifugal...

Centrifugal air compressor: A centrifugal air compressor delivers 15Kg of air per minute. The outlet and inlet conditions are At inlet: Velocity = 5m/sec, enthalpy = 5KJ

Properties of plastic, Q. Properties of plastic? Their great variety of...

Q. Properties of plastic? Their great variety of physico- chemical and mechanical properties, and ease with they can be made into various articles have found plastic their wide

Simple Mechanisms, I have an assignment on kinematic chains.I have to tell ...

I have an assignment on kinematic chains.I have to tell the type of chain whether it is locked,constrained or unconstrained?? I am facing problem in counting number of joints,pair

Welding, Why is the quality of welds produced by submerged arc welding very...

Why is the quality of welds produced by submerged arc welding very good#Minimum 100 words accepted#

Find velocity of the vehicle, Find velocity of the vehicle: A car hav...

Find velocity of the vehicle: A car having mass 400kg is moving with velocity of 20m/sec. A force of 200N that acts on it for 2 mins. Find velocity of the vehicle: (1) W

Design approach of human mobility device, In ME1, you are beginning to deve...

In ME1, you are beginning to develop knowledge of design, materials, and basic machine elements (e.g., power screws, bolted joints, bearings, gears). In addition, you are becoming

Micro extrusion, i need the micro etrusion process,how it is done

i need the micro etrusion process,how it is done

Connected rod - part of combustion engine, Connecte d Rod: It is att...

Connecte d Rod: It is attached to piston at its small end by means of gudgeon pin. The big end bearing is connected to crank pin. It is made up of forged steel.

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