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

Dynamics, A rectangular plate has two holes of dimensions shown and is rele...

A rectangular plate has two holes of dimensions shown and is released from the position shown. The plate is hinged about a horizontal axis and can rotate in the vertical plane. An

Steam engine terminology, STEA M ENGINE TERMINOLOGY: 1 .     Cylind...

STEA M ENGINE TERMINOLOGY: 1 .     Cylinder Bore: Inside diameter of cylinder. 2 .     Cover End and Crank End of cylinder: In the horizontal cylinders the end that

Thermodynamics, Show that the entropy maximum principle encountered in the ...

Show that the entropy maximum principle encountered in the study of isolated system is equivalent to the statement that the nonflow exergy of an isolated system is destined to decr

Mechanical Engineering Careers Incorporating the Outdoors, Are there jobs i...

Are there jobs in the field of Mechanical Engineering that incorporate the outdoors? I am an outdoorsman for one, and a tradesman at heart and am currently a Mechanical engineering

Globular transfer, Globular Transfer Globular transfer  is characterise...

Globular Transfer Globular transfer  is characterised by a drop size of greater diameter than that of the electrode wire. The large drop is easily acted on by gravity, generall

Solid modeling and design, You are an engineer for WhyShopHere Toys. You ha...

You are an engineer for WhyShopHere Toys. You have been tasked with the following: Design a child's toy to provide food for fish in an aquarium. The toy should take the fo

Stresses., temparature stresses in composite bars

temparature stresses in composite bars

State the product data exchange specifications, State the Product Data Exch...

State the Product Data Exchange Specifications In May 1984, a late night meeting of the IGES Organization Edit Committee was held. The outcome: the Boeing representative was

Explain about the CAD system, Explain about the CAD system. CAD systems...

Explain about the CAD system. CAD systems generally require considerable processor power and a number of output and input devices; for instance: - Light pens - Large scre

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