Velocity acquired by block - system released from rest, Mechanical Engineering

Assignment Help:

Velocity acquired by block - system released from rest:

Two blocks shown in the figure given below, have masses A = 20N and B = 10N and the coefficient of friction between the block A and the horizontal plane, μ = 0.25. If the system is released from rest, and block B falls through vertical distance of 1m, what is velocity acquired by it? Neglect friction in pulley and extension of string.

Sol: Let T = Tension on both sides of the string.
a = Acceleration of the blocks
μ= 0.25 Consider the motion of block B,

531_Velocity acquired by block - system released from rest1.png

 

449_Velocity acquired by block - system released from rest.png

Consider motion of block A, T -  μWA = ma

T - 0.25 X 20 = (20/g)a                                                                                                                               ...(2)

By adding equation (1) and (2)

10 - 5 = (30/g)a

a = 1.63 m/sec2                                                                                                                                    ...(3)

By using the relation, v2  = u2 + 2as

v2 = 0 + 2X 1.63 X 1

v = 1.81m/sec                                                                  .......ANS

 


Related Discussions:- Velocity acquired by block - system released from rest

Design control room for plant, Q. Design Control Room for plant? Some e...

Q. Design Control Room for plant? Some equipment may need to be located inside buildings, but this needs to be justified as it incurs additional cost and can create additional

Concurrent force system - mechanics, Concurrent force system: It state...

Concurrent force system: It state that if force acting at a point on a rigid body, it can be considered to act at any other point on its line of action, given this point is ri

Refractory, extraction of refractories

extraction of refractories

Bond, What is bond and the types..

What is bond and the types..

Free body diagram - mechanics, Free body diagram: Sol.: In a free bod...

Free body diagram: Sol.: In a free body diagram, the body is considered by itself and also the effect of the surroundings on the body is shown by forces and moments. Free bod

Copper-lead alloys, Copper-Lead Alloys Copper-lead alloys, having a la...

Copper-Lead Alloys Copper-lead alloys, having a large percentage of lead have determined a considerable employ as bearing material lately. Straight, copper-lead alloys of such

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

Newton''s ring, Explain construction and working process of newton''s ring

Explain construction and working process of newton''s ring

Scissors crossing, Scissors Crossing: A scissors crossing consists of...

Scissors Crossing: A scissors crossing consists of two crossovers overlapping each other. It is shown in Figure. Figure: Scissors Crossover Triangles

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