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

Submerged arc welding - set up, SUBMERGED ARC WELDING-Set Up Submerged ar...

SUBMERGED ARC WELDING-Set Up Submerged arc welding system consists of the following basic modules: 1. Welding head 2. Power source 3. Flux feeding and recovery units Schematic

Stress plots, Problem:   The following machine component is loaded as s...

Problem:   The following machine component is loaded as shown.  It is fabricated from Al 6061-T6.   Determine the analytical solution to this problem and compare result

Explain about active fire protection, Q. Explain about Active Fire Protecti...

Q. Explain about Active Fire Protection? Active Fire Protection - A fire fighting system that is normally dormant and is activated automatically upon detection of a fire hazard

Important terms related to boiler, IMPO R T AN T TERMS: Fi r e ...

IMPO R T AN T TERMS: Fi r e Box: Place where fuel is burnt. Grat e : The fuel is burnt on this. Baffles : Plates are used for directing the flow of flue gass

What is thermoplastic plastics, Q. What is thermoplastic plastics ? Thes...

Q. What is thermoplastic plastics ? These plastic soften under heat, harden on cooling, and can be resoften under heat. Thus, they retain their fusibility, solubility, an

Manufacturing process for reinforced plastic parts, Manufacturing Process F...

Manufacturing Process For Reinforced Plastic Parts Two processes that are open mould and close mould are commonly utilized for manufacture of reinforced parts. Hand layup proce

Kinetic inversion, kinetic Inversion In a mechanism, in a kinematic cha...

kinetic Inversion In a mechanism, in a kinematic chain one of the links is fixed. One can get different mechanisms by fixing in different links in a kinematic chain. This techn

Estimate future capacity requirements, Estimate Future Capacity Requirement...

Estimate Future Capacity Requirements: An electronic packaging centre operates 250 days per year, with one eight hour shift. Management believes that a capacity cushion of 15

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