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

What are methods used in rating for time study, a)What are methods used in ...

a)What are methods used in rating for time study. Illustrate them. b) Write down principles of motion economy.

Illustrate the babcock and wilcox boiler, How the boiler are classified? Sk...

How the boiler are classified? Sketch and define the babcock & Wilcox boiler and also Compare the water tube boiler and fire tube?

Explain the use of bare electrode, Q. Explain the use of bare electrode? ...

Q. Explain the use of bare electrode? This type of electrode is also known as plain electrode. No flux covers on this electrode. These types of electrodes are used for D.C. sup

Calculate the mechanical output power, A 415 V, 5 kW, 50 Hz, 4-pole, 3-phas...

A 415 V, 5 kW, 50 Hz, 4-pole, 3-phase wound-rotor induction motor has the following characteristics:  Stator winding resistance R 1 = 2.1 Ω, Referred rotor windi

Low alloy creep resisting and electrodes for cryogenic , LOW ALLOY CREEP RE...

LOW ALLOY CREEP RESISTING ELECTRODES AND ELECTRODES FOR CRYOGENIC APPLICATIONS The flux coating contains small amount of alloying elements like Cr, Mo and sometimes V for creep r

Calculate the internal pressure to cause first yield, A large hydraulic cyl...

A large hydraulic cylinder is to be treated using autofrettage, taking 80% of the wall thickness into the plastic range. The external diameter of the vessel is 200mm and the inter

Scheduling, how to find out hte optimal sequence and determine the minimun ...

how to find out hte optimal sequence and determine the minimun total elapsed time associated with a given problem

Geometric modelling, Geometric modelling: Geometric modelling is an in...

Geometric modelling: Geometric modelling is an integral part of any Computer-Aided-Design (CAD) system. Integration of geometric modelling; computer graphics along with design

Rotary converters, ROTARY CONVERTERS Historically, these type of power so...

ROTARY CONVERTERS Historically, these type of power sources were developed first for arc welding applications and even now these types are popular. These rotary converters are of

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