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

#title.cutting tool life, what is relation between tool life and cutting sp...

what is relation between tool life and cutting speed?

Evaluate the risks in oil spill disaster , Case study entitled " Exxon Vald...

Case study entitled " Exxon Valdez Oil Spill Disaster ". 1.      Examine the aim and objectives of Exxon Mobil Corporation. 2.      Carefully observe the oil and refinery ind

Spot and projection welding machines-rocker arm-press type, Spot and projec...

Spot and projection welding machines On the basis of the mechanical construction, resistance spot welding machines can be of four types viz. rocker arm, press, portable and mul

Velocity ratio for open belt drive, V elocit y Ratio for Open Belt Drive:...

V elocit y Ratio for Open Belt Drive: Figure Consider a simple belt drive (that is one driver and one follower) as shown in the figure given below Let D 1

Matlab Applied Optimization Problem, A fenced enclosure consists of a recta...

A fenced enclosure consists of a rectangle of length L and width 2R, and a semicircle of radius R, as shown in Figure P20. The enclosure is to be built to have an area A of 1600 ft

Axis of symmetry, Axi s of symmetry If in diagram half part of diagram...

Axi s of symmetry If in diagram half part of diagram is mirror image of next ½ part, then there is a symmetry in diagram. The axis at which symmetry is create, called as axis

Scope of corrosion assessment design, Q. Scope of corrosion assessment desi...

Q. Scope of corrosion assessment design? The purpose of this guideline is to describe the common corrosion damaging modes and mitigation methods and provides recommended materi

Ottto cycle, For a theoretical OTTO cycle operating on compression ratio of...

For a theoretical OTTO cycle operating on compression ratio of 8.5:1taking in air at 15C and 101.3kPa and having a maximum cycle temp of 1800C.Calculate the temp after compression,

Evaluate frequency of oscillation, (a) A spring mass system has a period 0....

(a) A spring mass system has a period 0.25 sec. What will be the new period if spring constant is increased by 50% ? (b) A vibratory system in a vehicle is to be prepared with t

Evaluate total heat of steam - thermodynamics, Evaluate total heat of steam...

Evaluate total heat of steam: 10 kg of wet saturated steam at 15 bar pressure is superheated to the temperature of 290°C at constant pressure. Find heat needed and the total

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