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

Carbon and graphite, Carbon and Graphite Both are excellent refractory...

Carbon and Graphite Both are excellent refractory materials but with good grace oxidize and thus are used merely either in neutral or reducing conditions. Graphite is more sta

Design of screw feeder and screw conveyor, A new process plant for ore proc...

A new process plant for ore processing is currently being planned. The design is only in the first stage. However, three requirements have already been clearly stated: - The bins s

Third gear position - shifting of gear, Third Gear Position: When gea...

Third Gear Position: When gear M3 on the main shaft is in mesh with gear C3 on the counter shaft then this is known as third gear position. The fixed gear M3 rotates with mai

Find the diameter of drawn tubing , Find the diameter of drawn tubing ...

Find the diameter of drawn tubing (e = 0.0015 mm) to transport 0.002 m 3 /s of 20 o C water over 400 m length so that the head loss does not exceed 30m by using (

Objectives of basic troubleshooting of motorcycle , Objectives After s...

Objectives After studying basics troubleshoot of motorcycle, you should be able to check, perform inspection and identify the reason(s) of various problems reported by

Leaf spring, weight of leaf spring in bus

weight of leaf spring in bus

Expression for condition of maximum discharge, Drive an mathmatical express...

Drive an mathmatical expression for condition of maximum discharge through the chimney. Dry saturated steam is supplied from a boiler to a steam engine at a pressure of 15 bar.

Closed - open or isolated system, (a) Specify, giving reasons whether the f...

(a) Specify, giving reasons whether the following systems are closed, open or isolated when in operation (i) Kitchen Refrigerator (ii) Ice-cream freezer (iii) Scooter Engi

Oxides, Oxides These comprise alumina, magnesia, thoria, beryllia and ...

Oxides These comprise alumina, magnesia, thoria, beryllia and zirconia. Other oxides that are utilized sparingly due to high cost comprise hafnia, ceria and yttria. Variety of

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