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

Determine m.i. of i section about 2 centroidal axes, Q.  An I section has d...

Q.  An I section has dimensions Top flange = 8 cm × 2 cm; Bottom flange = 12 cm  × 2 cm; Web = 12 cm × 2 cm; Over all the depth of section = 16 cm. Determine M.I. of  I s

Belt and rope friction, what is the effect of a warm groove on the performa...

what is the effect of a warm groove on the performance of the V belt

Measurement of river water levels, Q. Measurement of river water levels? ...

Q. Measurement of river water levels? In designing bridges and other engineering structures on rivers, maximum discharge and highest flood level form essential data for design

Flange bevel and lap ring weld, Q. Flange Bevel And Lap Ring Weld? The ...

Q. Flange Bevel And Lap Ring Weld? The fillet weld attaching the lap ring to the shell shall be an equal leg fillet weld, with the leg dimension equal to the nominal shell thic

CNC Machining, how to determine proper the depth of cut for the tool if the...

how to determine proper the depth of cut for the tool if the drill is made of HSS and the work piece is made of alluminume alloy?

Calculate net force on the piston, A vertical petrol engine 100mm diameter ...

A vertical petrol engine 100mm diameter and 120mm stroke has a connecting rod 250mm long. The mass of the  piston is 1.1kg. The speed is 2000 r.p.m. On the expansion stroke with a

Explain the hydrostatic sensor paver machine, Explain the Hydrostatic senso...

Explain the Hydrostatic sensor paver machine Machine Name: - Hydrostatic sensor paver machine   We give Mechanical Paver and Mechanical Screed, which are used for laying w

Design square footing with plan area and soil reaction, A square column 410...

A square column 410 x 410 mm (along with 4 No. 16 mm bars) carries a dead load of 1020 kN and an imposed load of 410 kN. The foundation soil has a safe bearing capacity of 200 kPa.

Evaluate the reactions at hinge and roller support, Evaluate the reactions ...

Evaluate the reactions at hinge and roller support: Q: A Force P = 5000N is applied at centre C of beam AB of length 5m as shown in figure given below. Find the reactio

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