Compute minimum value of the horizontal force, Mechanical Engineering

Assignment Help:

Compute minimum value of the horizontal force:

Block A of weight 520N rest on horizontal top of block B having weight of 700N as shown in the figure given below. Block A is tied to support C by cable at 300 horizontally. The coefficient of friction is 0.4 for all the contact surfaces. Compute minimum value of the horizontal force P only to move the block B. How much is the tension in cable then. 

353_Compute minimum value of the horizontal force.png

Sol.: Consider First free body diagram of block A

∑H = 0

µR1 = Tcos30°

0.4R1 = 0.866T

R1 = 2.165T                                                                                                                           ...(i)

∑V = 0

W = R1 + Tsin30°

520 = 2.165T + 0.5T

520 = 2.665T

T = 195.12N                                                                                                                       ...(ii)

Putting in equation (i) we get

R1 = 422.43N                                                                                                                      ...(iii)

Consider First free body diagram of block A

∑V = 0

R2 = R1  + WB

R2 = 422.43 + 700

R2 =1122.43N                                                                                                                     ...(iv)

∑H = 0

P = µR1 + µR2

P = 0.4(422.43 + 1122.43)

P = 617.9N                                                  .......ANS


Related Discussions:- Compute minimum value of the horizontal force

Determine controllability matrix – open loop control system, An open-loop c...

An open-loop control system has the following state-space model: (a)  Determine the characteristic equation for the open-loop control system. (b)  Determine the characte

Example of production rate, Example of Production Rate The turret lath...

Example of Production Rate The turret lathe section contains six machines, all devoted to the production of the similar part. The section operates 10 shifts/wk. The number of

Determine the direction and magnitude of the work, Illustrate throttling pr...

Illustrate throttling process and free expansion process in details? A fluid is confined in a cylinder by a spring loaded frictionless piston so that pressure in the fluid is a

AOC, The objective of the project is to protect damage of the DC motors. If...

The objective of the project is to protect damage of the DC motors. If the motor is not working it will be shown with red light, if working normally then green and if working at a

Thermodaynamic, Ask question #MiThe steam that leaves the super-heater is e...

Ask question #MiThe steam that leaves the super-heater is expanded from 130bar at 535°C to 25.2bar at 310°C in a high pressure turbine. The steam from the exit of the HP turbine is

Explain rake angle - angles of a drill, Explain Rake angle - Angles of a dr...

Explain Rake angle - Angles of a drill It is also known as helix angle .It is the angle formed between a plane containing the drill axis and the leading edge of the land. It c

Illustrate the types of special foundations, Illustrate the Types of specia...

Illustrate the Types of special foundations Special foundations find use under following situation: i)  To meet the demands that are arising from uncommon environmental cond

Calculate the significant figure, Do not round intermediate calculations, h...

Do not round intermediate calculations, however for display purposes report intermediate steps rounded to four significant figures. Give your final answer(s) to three significant f

Explain caustic stress corrosion cracking, Q. Explain caustic Stress Corros...

Q. Explain caustic Stress Corrosion Cracking? Dilution of the caustic prior to injection into a relatively hot stream will minimize the potential of caustic Stress Corrosion Cr

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