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

Combustion chamber or clearance volume, Combustion Chamber ( or Clearance ...

Combustion Chamber ( or Clearance Volume ) : Combustion chamber is a space between the cylinder head and the piston top when the piston is at top dead center (TDC). The combustio

Determine the velocity in a moving frame of reference, Determine the veloci...

Determine the velocity in a Moving Frame of Reference: As illustrated in Figure, a ship A moves with a velocity v A = 40 km/hour whereas ship B moves with a velocity of v B

Electrodes- storage and handling of electrodes, STORAGE AND HANDLING OF ELE...

STORAGE AND HANDLING OF ELECTRODES It is recommended that the electrodes should be stored in a warm and dry place. Generally, conditions of storage in the shop are not very condu

Principle of superposition, Principle of superposition: Explain the p...

Principle of superposition: Explain the principle of superposition. Sol.: A machine member is subjected to number of forces acting on its outer edges and also at some

Design of a filament winding machine, How can I achieve a back and forth mo...

How can I achieve a back and forth movement of carriage system. How can I reverse the motor to go back and forth.

How can we use cereals, Q. How can we use Cereals? Foundry cereal is fi...

Q. How can we use Cereals? Foundry cereal is finely ground corn flour or corn starch. It (0.25-2%) increases the green and dry strengths of the moulding sand. Since the cereal

Engine keeps on running after ignition is switched off, If Engine Keeps on ...

If Engine Keeps on Running after Ignition is Switched Off Causes of Problem Remedy Pre-ignition due to very hot spark plug used

Derive heat transfer and work transfer expression, Derive heat transfer and...

Derive heat transfer and work transfer expression in an non-flow or closed isothermal and polytropic procedure?

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