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

Advantages of e-nrz over nrz, A modified NRZ code known as enhanced-NRZ (E-...

A modified NRZ code known as enhanced-NRZ (E-NRZ) operates on 7-bit words; inverting bits 2,3,6 and 7; and adding one parity bit to each word. The parity bit is chosen to make the

What are the functions of lubrication system, (a) What are the functions of...

(a) What are the functions of lubrication system? (b) Define the working of lubrication system used for internal parts of engine. (c) What is chasis lubrication system? Descr

Introduction to service sector , INTRODUCTION: Service sector, you shall s...

INTRODUCTION: Service sector, you shall study about the growth of service sector followed by the growth of automobile industry, two-wheeler industry and Hero Honda Motors Limited

Construction of lacashire boiler, Construction of Lacashire boiler: C...

Construction of Lacashire boiler: CONSTRUCTION : Consists of boiler shell which contains water and steam. Diameter can vary from 1.75 to 2.75 m and length can be 7.25 - 9 m

Hazardous areas classification, Hazardous Areas are formally ranked as bein...

Hazardous Areas are formally ranked as being a designated hazardous area using the relevant regional or country standards that are directly applicable to the plant design under con

Cases of equilibrium , Cases of equilibrium: What are cases of equili...

Cases of equilibrium: What are cases of equilibrium? Sol.: As a result of the acting forces, the body may be having one of the following states: (1) The body can mo

Calculate the temperature at the center of the pipe, Heat generated uniform...

Heat generated uniformly in Stainless steel plate having k=20 W/m. 0 C. The thickness of the plate is 1cm and the heat generation rate is 500 MW/m 3 . If the two sides of the plate

Determine the centroidal moment of inertia, Determine the centroidal moment...

Determine the centroidal moment of inertia: Determine the centroidal moment of inertia of a thin flat disc shown in Figure which is having a mass m kg. By using the parallel a

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