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

Steady state conditions and the thermal equilibrium state, What is a differ...

What is a difference between the steady state conditions and the thermal equilibrium state? In steady state condition, temperatures are constant although heat transfer is taking

Determine the net rate of work output, A piston and a cylinder machine obta...

A piston and a cylinder machine obtains a fluid system, which passes through a complete cycle of four processes. In the mean while a cycle the sum of all heat transfer is 150KJ and

Hydraulic systems analysis, 1. A hydraulic pump generates 240W and supplies...

1. A hydraulic pump generates 240W and supplies hydraulic fluid at a rate of 5.1l/min to a linear actuator which has a bore size of 50 mm and a double piston rod diameter of 20mm.

Head loss, calculate the head required

calculate the head required

Analyse the beam, Analyse the beam: Analyse the beam illustrated in Fi...

Analyse the beam: Analyse the beam illustrated in Figure and draw the SFD, BND & thrust diagram. Situated the point of contraflexure, if any. Figure Solution

Simply supported beam, Select a standard rolled steel I-section for the sim...

Select a standard rolled steel I-section for the simply supported beam shown in figure below. Select an appropriate factor of safety and material strength. Include references for

Sustained bending moment, Q. Sustained Bending Moment? When sustained b...

Q. Sustained Bending Moment? When sustained bending moments or axial thrust loadings are applied to the flanged joint during operation in sufficient magnitude to warrant consid

Stroke and clearance volume - thermodynamics, Stroke and Clearance Volume: ...

Stroke and Clearance Volume: Stroke The distance traveled by piston from the topmost positions of it (also called Top dead centre TDC ), to its bottom most position (or

Reactions at grouted end of cantilever beam, Reactions at grouted end of ca...

Reactions at grouted end of cantilever beam: Q: Find reactions at grouted end of cantilever beam shown in figure given below     Draw free body diagram of the beam

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