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

Illustrate the structure of set, Illustrate the structure of SET SET al...

Illustrate the structure of SET SET allows the exchange of data between different CAD/CAM systems and also between CAD/CAM systems and central data banks. It features a much mo

Manufacturing systems and technology, The first successful numerical machin...

The first successful numerical machine tool was developed at MIT in the year:

Determine the machine working, Determine the theoretical COP for a CO 2 ma...

Determine the theoretical COP for a CO 2 machine working between the temperature range of 25 O C and -5 O C. the dryness fraction of CO 2 gas during the suction stroke is 0.6. fo

Permanent way - railways, Permanent Way: Definition In railwa...

Permanent Way: Definition In railway engineering, the permanent way refers to the earthen formation and the track structure over it. Gauge The separation

Explain about hardness testing, Q. Explain about Hardness testing? When...

Q. Explain about Hardness testing? When indicated on equipment or vessel data sheets, hardness testing shall be performed as follows: a) Perform hardness tests at or near th

Rigid and linearly elastic material, Rigid and linearly elastic material: ...

Rigid and linearly elastic material: A rigid material is one which is having no strain regardless of the applied stress. A linear elastic material is one in which strain is

Basic formula for maximum bending moment, Q.  W rite down the basic form...

Q.  W rite down the basic formula for maximum bending moment in some ideal cases. Sol.:   Ber m together with nature of load Maximu

Find out the centroid of the shaded area, Find out the centroid of the shad...

Find out the centroid of the shaded : Find out the centroid of the shaded area shown in Figure Solution Net area of shaded portion of Figure = The area of full

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