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 types of evolutionary cad applications, Determine the Types o...

Determine the Types of Evolutionary CAD applications Evolutionary CAD applications supporting design can be categorized into three types - traditional, knowledge based, and im

Scope of work for a project in mechanical engineering, Q. Scope of work for...

Q. Scope of work for a project in Mechanical Engineering? The Mechanical Engineering scope of work for a project involves the design and specification of mechanical equipment a

What are the limitations of reversed carnot cycle, (a) What are the limitat...

(a) What are the limitations of Reversed Carnot Cycle to be used in practice for refrigeration purposes? Also derive the mathematical expression of COP for reversed carnot cycle.

Find an approximated probability, Find an approximated probability: Si...

Find an approximated probability: Sixteen numbers are selected independently and at random from the interval [ 0, 1 ]. Find an approximated probability that the mean of these

Compressor, compressor’s volumetric efficiency can also depend on the compr...

compressor’s volumetric efficiency can also depend on the compressor’s ratio.

Carnot vapour cycle - thermodynamics processes, Carnot vapour Cycle: I...

Carnot vapour Cycle: It is convenient to analyze the performance of steam power plants by means of idealized cycles that are theoretical approximations of real cycles. The Car

Evaluate young modulus of elasticity - ultimate stress, Evaluate Young modu...

Evaluate Young modulus of elasticity - Ultimate stress: Q:   The following observations were made during tensile test on mild steel specimen 40 mm in diameter and 200 mm long

Define cam - application of computers in manufacturing, Define Cam - Applic...

Define Cam - Application of Computers in Manufacturing CAM can be simply defied as "the application of computers in manufacturing." Most elaborately, CAM refers to the use

Motorcycle servicing , In motorcycle servicing we studied about various ser...

In motorcycle servicing we studied about various service tips for motorcycle servicing. These steps will ensure proper servicing of motorcycle and as a result customers will trust

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