Velocity acquired by block - system released from rest, Mechanical Engineering

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

 

Posted Date: 10/20/2012 1:10:46 AM | Location : United States







Related Discussions:- Velocity acquired by block - system released from rest, Assignment Help, Ask Question on Velocity acquired by block - system released from rest, Get Answer, Expert's Help, Velocity acquired by block - system released from rest Discussions

Write discussion on Velocity acquired by block - system released from rest
Your posts are moderated
Related Questions
Find the Maximum Allowable Size of the Milling Cutter  Find the maximum allowable size of the milling cutter if it is to rotate at 65 rpm while the cutting speed is 20 m/min.

Engine oil level and viscosity : Ensure that the engine oil level is maintained till the upper mark on the gauge oil level. Check engine oil viscosity. Oil should not be abnormall

Q. Steam and Power Generation Equipment? Locating steam and power generation equipment outside of the process areas ensures that critical facilities feeding major portions of t

help write the matlab code desired: The sine function can be evaluated by the following infinite series as (where the angle x is given in radians): xsinx = x-(x^3)/3! + (x^5)/5! -

Q. Effect on the corrosion rate of carbon steel? The velocity of the acid has a significant effect on the corrosion rate of carbon steel. The recommended velocity range for pi

what is difference between slab milling and face milling ?

Example of change of enthalpy: Q 0.5kg/s of a fluid flows in steady state process. The properties of fluid at the entrance are measured as p 1 = 1.4bar, density = 2.5k

Evaluate the reactions at hinge and roller support: Q: A Force P = 5000N is applied at centre C of beam AB of length 5m as shown in figure given below. Find the reactio

velocity of belt: velocity of belt passing over the driver pulley will decrease Now with this velocity belt pass over driven pulley, Now Velocity of Driven = Velocity

Assumptions in analysis of simple truss: What are assumptions made in analysis of simple truss? Sol.: The assumptions made in finding out forces in the frame are, (1)