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 the elements of the vdafs version 2.0, Determine the Elements of ...

Determine the Elements of the VDAFS version 2.0 Elements of the VDAFS version 2.0 are shown in Table. Curves and surfaces are described with the help of points, set of points

Virtual work, Explain the principle of virtual work

Explain the principle of virtual work

Find out the centre of gravity of a wire, Find out the centre of gravity of...

Find out the centre of gravity of a wire: Find out the C. G. of a wire of uniform cross-section bent into shape of a semicircle as illustrated in Figure. Solution

Determine the flow rate - material balances, 1. A continuous steady-state p...

1. A continuous steady-state process involving components A, B, and C is shown below, along with the known process information a) On the flowchart, assign variables for the unkn

Fluid mechanics, Flow through pipes in series and parallel

Flow through pipes in series and parallel

Compute model on simulate the tossing of thee four coins, Four (04) coins a...

Four (04) coins are tossed simultaneously (ie at the same time) and results in either a HEADS or a TAILS in each coin. Develop a simple computer model on MS EXCEL to simulate the t

Difference between upstream and downstream in a refinery, The total process...

The total process of a the refining business begins at the oil field or gas field and runs all the way to the sending of processed hydrocarbon to a final user. Upstream applies

Body projected vertically, Qusetion: A body when projected vertically up c...

Qusetion: A body when projected vertically up covers a total distance s, during its time of flight. If we neglect gravity then how much distance, the particle will travel during

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