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

Calculate the feed in drilling operation, Calculate the feed in Drilling Op...

Calculate the feed in Drilling Operation Calculate the feed in m/min if a drill makes 200 revolutions per minute and penetrates to a distance of 3 mm per revolution. Solut

Dynamic machine routing, Dynamic Machine Routing  Machine routing ident...

Dynamic Machine Routing  Machine routing identifies the machines that are needed for each of the operation of a given job. Within the JSP or Job Shop Scheduling Problem model,

Show bolt material, Q. Show Bolt Material? Bolt material must be select...

Q. Show Bolt Material? Bolt material must be selected with adequate yield strength at the operating temperature to provide the required strength to properly seat the gasket. It

Ideal fluids in motion, In hydrostatic we consider that fluids were at rest...

In hydrostatic we consider that fluids were at rest. Now we relax this consideration but with caution. We will discuss the flow of an real fluid. There are the assumptions about pe

Introduction to welding processes, INTRODUCTION TO WELDING PROCESSES We...

INTRODUCTION TO WELDING PROCESSES Welding is a material joining process used in making welds and a weld is a localised coalescence of metals or non metals produced either by he

Make evaluation for the engine efficiency, (a) Differentiate between carnot...

(a) Differentiate between carnot Heat pump and carnot Heat engine. What is the basic cycle for a carnot Heat pump ? Explain it. (b) A reversible heat engine delivers 0.6 K at po

Evaluate the fourth force, The resultant of four vertical forces is a coupl...

The resultant of four vertical forces is a couple moment 30 Nm acting counter clockwise. Three of the four forces are shown in fig given below. Evaluate the fourth force.

What will be the alteration of pressure, A copper tube 1.2 m long, has 80mm...

A copper tube 1.2 m long, has 80mm internal diameter and 2 mm wall thickness. It has closed ends, and is filled with water under pressure. What will be the alteration of pressure i

Two stroke and four stroke engines, T w o Stroke and Four Stroke Engines:...

T w o Stroke and Four Stroke Engines: In  the two stroke engines thermodynamic cycle is completed in One revolution of crank shaft whereas in 4 stroke engines the cycle is c

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