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

Centre of gravity and centroid, Q.   Explain the terms centre of gravity an...

Q.   Explain the terms centre of gravity and centroid. Sol. : A point can be found out in a body through which resultant of all such parallel forces acts. This point through

Calculate the depth of water, (Buoyancy of a submerged body; compressibilit...

(Buoyancy of a submerged body; compressibility of air) A grade 4 science student inverts a cup full of air into a water tank. If it takes 1 lb of force to hold the cup down 3

High pressure die casting process, what is the working princile of high pre...

what is the working princile of high preesure die casting process

FEED WATER PUMP, #what is the ratio between thirst pr. and discharge pr.? ....

#what is the ratio between thirst pr. and discharge pr.? ..

Evaluate the power output of turbine, Evaluate the power output of turbine:...

Evaluate the power output of turbine: Q: A turbine in steam power plant operating under steady state conditions receives the superheated steam at 3MPa and 350ºC at the rate o

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

Working principle of ignition system , Working Principle of Ignition System...

Working Principle of Ignition System: An alternating current (AC) is generated when a magnet moves between two stationary coils. In a magneto, a coil of wires moves between two m

Determine force exerted on the plate, A nozzle of 50 mm. dia. delivers a st...

A nozzle of 50 mm. dia. delivers a stream of water that strikes a flat plate which is held normal to the axis of stream. If the issuing jet has a velocity of 15 m/sec., Determin

Neutral layer and neutral axis, Neutra l Layer and Neutral Axis In the...

Neutra l Layer and Neutral Axis In the beam or cantilever, there is one layer which retains the original length of it even after bending. So in this layer tensile stress and c

Boundary work assingment, A system consisting of 2kg of R-134a undergoes a ...

A system consisting of 2kg of R-134a undergoes a cycle composed of the following processes: Process 1-2: constant volume from P1= 10 bar, x1=0.6 to saturated vapor. process 2-3 con

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