Compute minimum value of the horizontal force, Mechanical Engineering

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

Posted Date: 10/17/2012 7:07:05 AM | Location : United States







Related Discussions:- Compute minimum value of the horizontal force, Assignment Help, Ask Question on Compute minimum value of the horizontal force, Get Answer, Expert's Help, Compute minimum value of the horizontal force Discussions

Write discussion on Compute minimum value of the horizontal force
Your posts are moderated
Related Questions
Q. What is Bolt Elongation? The required bolt elongation Δ 1 may be calculated by the equation (7): Δ 1 = 3.25 * 10-8 * SB * L0 (in) (7) Where L 0 is the effect

I need to have a matlab code with torque and force as differential constraint equations and tractrix constraint also included. The motion may be in a plane and with 5 or 6 links in

What are the primary benefits of using computerized layout procedures vs. Systematic Layout Planning (SLP) procedures done by hand?

Find out the amount of energy spent: 6 cubic metre of water is to be lifted to a height of 40 metres and delivered having velocity of 4 metres/sec. If this operation takes 12


Solve the support reactions at A and D by using the force method. A is a fixed support; B and C are rigid joints; and D is a pin support. EI is constant for all members.


Q. Which functions used for coating? • Improves arc stability by providing certain chemical which have this ability, by ionizing the path of arc. • Provides a protective gaseou

Example of Wedge friction: T wo blocks A and B are employed to raise load of 2000 N resting on another block C by the application of force P as shown in the figure g

Computers control system in flexible manufacturing system