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

Determine the maximum value of the coefficient of friction, Determine the m...

Determine the maximum value of the coefficient of friction: A force of 200 N inclined at 60 o to the horizontal is applied to the block A weighing 400 N. find out whether blo

# ic engines, what are the di #Minimum 100 words accepted#

what are the di #Minimum 100 words accepted#

What do you understand by binders, Q. What do you understand by Binders? ...

Q. What do you understand by Binders? Binders used in a foundry are : Inorganic and organic binders. Organic binders used for core making and will be discussed later. Clay b

Milling, milling machine time calcutation

milling machine time calcutation

Laws of solid friction, Laws of solid friction: Sol.: The friction w...

Laws of solid friction: Sol.: The friction which exists between two surfaces that are not lubricated is called as solid friction. The two Surfaces can be at rest or one of t

Calculate the angular deflection produced in a solid , Calculate the angula...

Calculate the angular deflection (in degrees) produced in a solid circular shaft of diameter 12.5mm and length 0.5 m when the shear stress is 25MPa and the shear modulus 70GPa. Wha

Calculate the amount sand-aggregate, Calculate the amount of cement, sand,...

Calculate the amount of cement, sand, aggregate, and water needed to create a concrete mix with a 28-day compressive strength of 34 MPa for a 10 m x 10 m x 0.25 m structure given t

Electric resistance welding, ELECTRIC RESISTANCE WELDING Electric resis...

ELECTRIC RESISTANCE WELDING Electric resistance welding is an important and widely applied non fusion welding process. This write up covers the basic principles of various resi

Clutch cable routing- gear complaints, Clutch cable routing :Ensure that t...

Clutch cable routing :Ensure that the cable is routed as per standard routing, through the brackets provided.

Explain the application of electro chemical machining, Explain the Applicat...

Explain the Application of Electro Chemical Machining? 1. EBM has been used to perforate holes in glass fiber spinning head made from a heat resistant supper alloy. 2. Slott

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