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

Describe loose piece pattern, Loose piece pattern This type of pattern ...

Loose piece pattern This type of pattern is also used when the contour of the part is such that withdrawing the pattern from the mould is not possible. Hence during moulding th

Temperature scales - thermodynamics, Temperatur e Scales: The tempera...

Temperatur e Scales: The temperature of a system can be determined by bringing a 2 nd body, a thermometer, into contact with the system and allowing thermal equilibrium to b

Find out bulk modulus, Find out bulk modulus: A steel bar of 25 mm dia...

Find out bulk modulus: A steel bar of 25 mm diameter was tested on a gauge length of 250 cm in tension and in torsion. A tensile load of 50 kN generated an extension of 0.13 m

#strength of materials, Distribution of shearing stresses on l--sections an...

Distribution of shearing stresses on l--sections and miscellaneous sections

Stress analysis reporting, Q. Stress analysis reporting? • Stress sketc...

Q. Stress analysis reporting? • Stress sketch with all node points, dimensions, pipe schedule, weights of non-standard components, e.g., control valves and actuators, insulatio

Nitrogen storage and vaporizer, Q. Nitrogen storage and vaporizer? Bulk...

Q. Nitrogen storage and vaporizer? Bulk cryogenic storage of nitrogen must be located away from process equipment, preferably at the edge or corner of the process area where fi

Illustrate the future trends in automobile, Short answer Type. a) Writ...

Short answer Type. a) Write the difference Between Dry clutch and Wet ? b) What is difference Between Chasis and Frame? c) Illustrate the Future trends in Automobile

Engineering Mechanics, What are the practical applications of solid cylinde...

What are the practical applications of solid cylinder or shaft under cyclic axial loading

DESIGN, HOW DO I DESIGN A COMPONENT FOR IMPACT STRENGTH FOR IMPACT LOAD AT ...

HOW DO I DESIGN A COMPONENT FOR IMPACT STRENGTH FOR IMPACT LOAD AT LOWER TEMPERATURE

Mchanical vibration, the base of a spring -mass- damper system is subjected...

the base of a spring -mass- damper system is subjected to the periodic displacement. determine the response of the mass using the principle of superposition

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