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

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

Battery-electrical system , Battery: Battery is a device that produces dir...

Battery: Battery is a device that produces direct current (DC). The chemical energy of battery ingredients converts into electrical energy in the form of direct current. This is a

Calculate change of entropy of universe, Calculate change of entropy of uni...

Calculate change of entropy of universe: 5Kg of ice at 10 0 C is kept in atmosphere that is at 30 0 C. Calculate change of entropy of universe when it melts and comes i

Chemistry, Note on scale and sludge?

Note on scale and sludge?

Vectors, Following sets of the three forces act on a body,. In which case r...

Following sets of the three forces act on a body,. In which case resultant cannot be zero? 1) 10N, 10N, 10N 2)10N, 10N, 20N 3)10N, 20N, 20N 4010N, 20N, 40N Ans)      In 4th

Plastic material and rigid plastic material, Plastic material and rigid pla...

Plastic material and rigid plastic material: For the plastic material, there is stress at which plastic deformation begins. A rigid plastic material is one in which the ela

Safety from corrosive chemicals, Q. Safety from Corrosive Chemicals? Sa...

Q. Safety from Corrosive Chemicals? Safety showers and eyewash stations shall be provided in areas where corrosive chemicals are stored and handled. They should be located so t

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