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

Explain soft or flexible automation, Explain Soft or Flexible Automation? ...

Explain Soft or Flexible Automation? This system uses tape, a hand-held control box, microprocessors, programmable logic controllers or computers. The system can be reprogramme

Determine the maximum pressure applied inside the shell, Determine the maxi...

Determine the maximum pressure applied inside the shell: A thin spherical shell of 1.5 m diameter is built by joining steel plates of 8 mm thickness by riveting. The efficienc

Flash butt welding-flashing, Flash Butt Welding-Flashing The phenomenon...

Flash Butt Welding-Flashing The phenomenon of flashing is of extreme importance in achieving satisfactory welds. Flashing can begin only after a molten bridge has been formed s

Determine the shear stress in each section - cells, Determine the shear str...

Determine the shear stress in each section - cells: In Figure, the mean dimensions of the two cells are 100 mm × 50 mm and 50 mm square. t 1 = 3 mm,       t 2 = 6 mm,

Moment of resistance, Explain the Moment of resistance? Sol.: The two...

Explain the Moment of resistance? Sol.: The two equal and unlike parallel forces, the lines of action of which are not same, form couple. The resultant compressive force ( P

Resource management for project, Q. Resource Management for project? An...

Q. Resource Management for project? An important factor in overall project success is the provision of suitable and adequate resources. The initial estimate of engineering man

Calculate the suitable diameter for a solid shaft, A shaft is hinghed by tw...

A shaft is hinghed by two bearings placed 1.0 m apart. A 600mm diameter pulley is mounted at a distance of 300 mm to the right of left hand bearing and this operates a pulley direc

Crystal structure , Explain with neat sketches the various types of crystal...

Explain with neat sketches the various types of crystal imperfections

Explain the importance of jigs and fixtures, Explain the Importance of jigs...

Explain the Importance of jigs and fixtures: Enhance productivity. Rapid production work. Reduces manufacturing costs. Complex and heavy components can be

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