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

Motion/movement, What are the different types of Mechanical Motions/Movemen...

What are the different types of Mechanical Motions/Movements?

V shaped tank, This lab sheet is designed to guide students through the exp...

This lab sheet is designed to guide students through the experimentation they will need to conduct in order to complete the continual assessment element of their NG3H235 studies.Th

Structures of materials, what is the difference between atomic structure an...

what is the difference between atomic structure and crystal structure

Cutting test, Cutting Test:             Once the sand blasted blade we...

Cutting Test:             Once the sand blasted blade were went through the washing process. Quality Control technician will randomly pick 15 pieces of blade to go for cutting

Performance criteria-aspects of scheduling , Performance Criteria This ...

Performance Criteria This is assumed that an FMS is the part of a superior production process. Consequently the performance of the FMS is not a major goal but imply to attain c

Define the winged-edge representation, The Winged-Edge Representation P...

The Winged-Edge Representation Perhaps the oldest data structure for a b-rep is Baumgart's winged-edge data structure. It is quite different from that of a wire-frame model, be

Plot the root locus diagram for a system, Plot the root locus diagram for a...

Plot the root locus diagram for a system whose open loop transfer function is Evaluate the range of values for K for system to be stable.

Aluminium, ALUMINIUM Aluminium was first generated in year of 1825. Pr...

ALUMINIUM Aluminium was first generated in year of 1825. Presently it is generated in quantity second only to steel. This is the most abundant metallic element on the crust of

Thermodynamics: Apple Hydrocooling Unit, Design a hydrocooling unit that ca...

Design a hydrocooling unit that can cool fruits and vegetables from 30 to 5 degrees Celsius at a rate of 20,000 kg/hr under the following conditions: The unit will be of flood typ

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