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

Pelton wheel, An axial flow pump handling oil of specific gravity 0.8 at a ...

An axial flow pump handling oil of specific gravity 0.8 at a rate of 1.0m3 s-1 is fitted with downstream guide vanes and its impeller rotates at 250 rev min-1. The oil approaches t

Determine the direction and magnitude of the work, Illustrate throttling pr...

Illustrate throttling process and free expansion process in details? A fluid is confined in a cylinder by a spring loaded frictionless piston so that pressure in the fluid is a

Specific steam consumption in turbine, how degree of super heat reduces spe...

how degree of super heat reduces specific steam consumption

Urine preservatives - specimen collection, Urine preservatives - Specimen c...

Urine preservatives - Specimen collection: Urine preservatives : preservatives have different roles but are usually added to reduce bacterial action or chemical decompo

Preliminary stress analysis, Preliminary stress analysis work will start ea...

Preliminary stress analysis work will start early in the detail engineering phase after completion of equipment layout and piping study drawings. The piping required to be analyzed

Resistance seam welding, Resistance Seam Welding This is similar to spo...

Resistance Seam Welding This is similar to spot welding except that the copper alloy electrodes are in the form of circular rollers. The overlapping sheets are held under const

Diode-fundamentals of electricity , Diode: It allows the current to flow ...

Diode: It allows the current to flow in one direction only and offers infinite resistance in other direction. It rectifies the alternating current that is why we call it rectifie

Describe crank-pin effort, Describe the following terms:- a) Gyroscope ...

Describe the following terms:- a) Gyroscope b) Crank-pin effort c) Piston Effort d) Crank effort e) Thrust on crank shaft bearings.  f) Brake and Dynamometer g

Determine radial and hoop stress, A hydraulic pipe is 20 cm internal diamet...

A hydraulic pipe is 20 cm internal diameter and 5 cm thick. It is needed to sustain an intensities of radial and hoop stress at several radii and plot their variation.

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