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

Evaluate the deflection at the free end of the cantilever, Evaluate the def...

Evaluate the deflection at the free end of the cantilever: Discover the slope and deflection at the free end of the cantilever illustrated in Figure . Take EI = 200 × 10 6 N-

Find out the moment of inertia of a triangular area, Find out the Moment of...

Find out the Moment of Inertia of a triangular area: Find out the Moment of Inertia of a triangular area ABC with base b and height d around its base BC. Therefore or otherwis

Lubrication system , Lubrication System: This is an arrangement that consi...

Lubrication System: This is an arrangement that consists of oil pump, oil sump, oil lines and lubricant. The lubricant is meant to lubricate the engine moving parts and it also cl

Engine oil replacement procedure, Engine oil replacement Motorcycle i...

Engine oil replacement Motorcycle is thoroughly drained by kicking the vehicle several times. Inspect the drain bolt washer and replace if necessary. Tighten the drai

Engine, maximum rpm at engine

maximum rpm at engine

Enthalpy - thermodynamics, Enthalpy: Sol: The enthalpy is total ener...

Enthalpy: Sol: The enthalpy is total energy of gaseous system. It takes into consideration, internal energy and pressure, volume effect. Thus, it can be defined as follows:

FEA, Simple 3 node triangle. need to find displacement and reaction loads

Simple 3 node triangle. need to find displacement and reaction loads

Calculation for stress-strain carves, Calculation for Stress-strain carves:...

Calculation for Stress-strain carves:   After reaching point D, if bar is strained further, a local reduction in cross section occurs in gauge length (that is, formati

Feed speed-spindle rpm-cutting time material removal rate, A hole of 25 mm ...

A hole of 25 mm diameter and 62.5 mm depth is to be drilled. The suggested feed is 1.25 mm/rev.and the cutting speed is 60 m/min. Assume the clearance height is 5 mm. Determine: f

Block''s acceleration, A block whose weight is 36.0 N rests on a horizontal...

A block whose weight is 36.0 N rests on a horizontal table. A horizontal force of 35 N is applied to the block. The coefficients of static & kinetic friction are 0.650 and 0.420, r

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