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

Plant layout and equipment spacing, Q. Plant layout and equipment spacing? ...

Q. Plant layout and equipment spacing? Layout refers to the location of plants (and process/power units within the plants and associated utilities (or balance of plant)) as wel

Short life cycle demand uncertainty - risk management, how I can formulate ...

how I can formulate mathematically the risk management in demand uncertainty of short life cycle product.

Computer aided synthesis, The basic aim of synthesis in design process is t...

The basic aim of synthesis in design process is to provide information which can tell you how to improve the design. In general the synthesis process gives many alternatives of

Computer integrated manufacturing, the component of computer integrated man...

the component of computer integrated manufacturing with the diagram

calculate the arc-belt length-distance and ratio , A powered metal-working...

A powered metal-working crank press (a generic press is shown at the end) has been designed to be capable of punching blanks from mild steel sheet up to 3 mm thick. 1. the ultim

Find the maximum shear stress - stepped circular bar, Find the maximum shea...

Find the maximum shear stress - stepped circular bar: A stepped circular bar ABC 4 m long fixed at one of the end 'A' is subjected to a torque of 10 kN-m. If the portion AB is

Internal energy - thermodynamics, Internal Energy (U): It is the energ...

Internal Energy (U): It is the energy possessed by the system on account of its configurations, and motion of atoms and molecules. Not like potential energy and kinetic energy

Calculate the damping ratio, A second order system defined by Where r(t)...

A second order system defined by Where r(t) is a unit step function. Calculate the damping ratio, damped natural frequency, undamped natural frequency, peak overshoot occurs, ri

Show the periodic functions, (a) Show following complex numbers in Rectangu...

(a) Show following complex numbers in Rectangular forms : (i) 5e 0.927j (ii) 10e 4.068j (b) Show the periodic functions by Fourier series (Harmonic series).

Evaluate force and moment - mechanics, Evaluate force and moment: Wha...

Evaluate force and moment: What force and moment is transmitted to supporting wall at A   A force of 15 KN is transmitted to wall along with anticlockwise mome

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