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

About cold extrusion punches, is there any other punch material for making ...

is there any other punch material for making cold forged nut except AISI M2

Beam and types of beam - support reaction, Beam: Sol.: A beam can be...

Beam: Sol.: A beam can be defined as a structural element which has one dimension (length) considerable larger As compared to the other two direction, which is breadth an

Corrosion assessment for water disposal system, Q. Corrosion Assessment for...

Q. Corrosion Assessment for Water Disposal System? Due to the high salt contents and oxygen contamination, disposal water is highly corrosive to CS material. HCL line and in

Determine the number of cycles - crack propagation, Determine the number of...

Determine the number of cycles - crack propagation: The plate of above Example  contained a crack of 50 mm length in the centre before it was subjected to cyclic stress. Deter

Define heat treatment and surface treatment processes, Heat Treatment and S...

Heat Treatment and Surface Treatment Processes Heat treatment processes are employed to improve of a work piece. The category includes the processes. Annealing, Normalizing,

Composite aspect ratio, Composite Aspect Ratio The length ratio of a r...

Composite Aspect Ratio The length ratio of a reinforcing fibre to its diameter is termed as aspect ratio. In the so-termed as fibre reinforced plastics or composites the aspec

Calculate the internal pressure, A pressure vessel is to be treated to ge...

A pressure vessel is to be treated to generate compressive residual stresses on it inner surface. This involves increasing the pressure until taking 75% of the wall thickness goe

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