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

Different types of information units of cad, Different types of information...

Different types of information units of CAD There are different types of information units defined. They are : Class 0 The geometric primitives needed for describing 2- a

Forecasting system outputs, Forecasting System Outputs: In a company, ...

Forecasting System Outputs: In a company, inventory level is reviewed biweekly. If the parts used in an assembly have the lead time of one and a half week, what period should

Find the stresses by finite method, The stepped bar in Fig Q6 is stretched ...

The stepped bar in Fig Q6 is stretched along the vertical axis and the maximum upward displacement is found to be 0.008 m. The bar has cross-sectional areas of A 1 and A 2 ov

Manufacturing , Differentiate between hot working and cold working process

Differentiate between hot working and cold working process

Fuel consumption is high motorcycle problem, If Fuel Consumption is High ...

If Fuel Consumption is High Causes of Problem Remedy   Incorrect electrode gap of spark plug Worn out electrodes o

Drawing, for drawing large size circles diameter greter than 150mm what is...

for drawing large size circles diameter greter than 150mm what is attached to compass? \

Normal and standard temperature pressure - stp ntp, Norma l Temperature an...

Norma l Temperature and Pressure (N.T.P.): The conditions of temperature and pressure at 0°C (273K) and 760 mm of Hg respectively are called normal temperature and pressure (

Laser surface treatment-transformation hardening, Transformation Hardening ...

Transformation Hardening The main features of the laser as a heat source for transformation hardening are: (A) Clean energy source. (B) Energy is localised: no heat spillage.

Angle of twist is zero on the shaft, Angle of twist is zero on the shaft: ...

Angle of twist is zero on the shaft: A shaft 10 m long and 100 mm diameter during its length is fixed at the ends and is subjected to two opposite torques of 8 kN-m and 10 kN-

Ratio of moment of resistance, (a) For a given material show that the ratio...

(a) For a given material show that the ratio of moment of resistance of a square beam when section is placed with horizontal and vertical sides 41.5%. stronger than the same sectio

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