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

Magnitude of a couple - mechanics, Magnitude of a couple: So l.: Fo...

Magnitude of a couple: So l.: For system, magnitude of couple is equal to algebraic sum of the moment about any point If the system reduces to couple, the resultant forc

Design of a filament winding machine, How can I achieve a back and forth mo...

How can I achieve a back and forth movement of carriage system. How can I reverse the motor to go back and forth.

The ordinate dimension command-autocad, The Ordinate Dimension Command ...

The Ordinate Dimension Command We can use The Ordinate command to annotate co-ordinate points with X or Y values. This might be useful for setting-out on site plans.

Drum brake-types of brake , Drum Brake: The construction of drum brake is...

Drum Brake: The construction of drum brake is clearly shown in Figure 2.40. In a rotating brake drum stationary brake shoes are attached concentric to the axle hub. A back plate

Determine the maximum stress, The cross-section of two angles attached tog...

The cross-section of two angles attached together are shown on the left below. The properties of angles are given in the table with reference to the diagram on the right. The ma

Explain the working and construction of universal joint, (a) Describe clear...

(a) Describe clearly the constructional details and operation of various rear axle drives with the engine placed at the front. Illustrate your answer with simple and neat sketch.

Example of change of enthalpy, Example of change of enthalpy: Q 0.5...

Example of change of enthalpy: Q 0.5kg/s of a fluid flows in steady state process. The properties of fluid at the entrance are measured as p 1 = 1.4bar, density = 2.5k

Steady flow energy equation, (a) Derive the mathematical expression for Ste...

(a) Derive the mathematical expression for Steady Flow Energy Equation. State the assumption made before the derivation. (b) The internal energy of a certain substance is provid

Stacking in the applicators storage, Q. Stacking in the Applicators storage...

Q. Stacking in the Applicators storage? Stacking in the Applicator's storage yard shall be in accordance with good safety practices and/or OWNER Specifications. Sufficient spac

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