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

What do you mean by thermil-welding, What do you mean by Thermil-welding ? ...

What do you mean by Thermil-welding ? Describe the process with neat sketch.

Calculate the natural frequency, (a) A circular cylinder of mass M and radi...

(a) A circular cylinder of mass M and radius R connected by a spring of stiffness ‘K'. It is free to roll on horizontal surface without slipping. Calculate the natural frequency.

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

Causeways, Paved Dips: Paved dips, also known as bed level causeways,...

Paved Dips: Paved dips, also known as bed level causeways, are structures consisting of gentle and shallow depressions in the road where the water is allowed to flow over the

Probability, Airlines like to overbook their flights (this is a vibrant are...

Airlines like to overbook their flights (this is a vibrant area of research called yield management). It is estimated that 10% of the people who book their flight do not show up. H

Design and construction of waste heat boilers, Shop assembled, steam drum, ...

Shop assembled, steam drum, risers, downcomers, and all other related equipment on the steam side shall be designed, fabricated and hydrostatically tested to all requirements of AS

Clutch cable model-Clutch Complaint, Clutch cable model: Ensure the cables...

Clutch cable model: Ensure the cables fitted are of the respective model and not interchanged with other model. Also ensure that the cable is genuine.

What do you mean by terms change of state, (a) Illustrate reversible, irrev...

(a) Illustrate reversible, irreversible and Quasi-static process with examples. (b) What do you mean by terms change of state, path, process, property, cycle. (c) Distinguish

Define the effect of feed, Define the Effect of Feed Increase in feed r...

Define the Effect of Feed Increase in feed rate deteriorates surface finish. It is observed that a rate of feed in the range from0.12 to 0.15 mm per revolution has a negligible

Mechanics, assumptions made in parallelogram law of forces

assumptions made in parallelogram law of forces

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