Find distance of which wagon will travel before coming rest, Mechanical Engineering

Find distance of which wagon will travel before coming rest:

A train of wagons is first pulled on level track from A to B and then up a 5 percent upgrade as shown in the figure given below. At some point C, least wagon gets detached from the train, when it was traveling with the velocity of 36Km.p.h. If detached wagon is having mass of 5KN and the track resistance is 10N per KN, find distance through which wagon will travel before coming to rest. Take g = 9.8m/sec2.

 

1783_Find distance of which wagon will travel before coming rest.png

Sol: Given, Grade = 5% or sinθ   = 5% = 0.05, u = 36Km.p.h. = 10m/sec, W = 5KN, V = 0, Fr  = 10N/KN

Let s = Distance traveled by the wagon before coming to rest

Total track resistance Fr  = 10 X 5 = 50N                                                                                                   ...(i)

Resistance because of upgrade = msin θ  = 5 X 0.05 = 0.25KN =250N                            ...(ii)

Total resistance to wagon = Net force = 50 + 250 = 300N

However,   F = ma, 300 = (5000/9.81)a

a = 0.588m/sec2                                                                                               ...(iii)

Apply equation, v2  = u2  - 2as

0 = (10)2  - 2 X 0.588 X s

s = 85 m                .......ANS


Posted Date: 10/19/2012 7:41:50 AM | Location : United States







Related Discussions:- Find distance of which wagon will travel before coming rest, Assignment Help, Ask Question on Find distance of which wagon will travel before coming rest, Get Answer, Expert's Help, Find distance of which wagon will travel before coming rest Discussions

Write discussion on Find distance of which wagon will travel before coming rest
Your posts are moderated
Related Questions
expert with PHOENICS software experience for CFD free convection

Advantages of two stroke engine over a four stroke engine: The advantages of two stroke engine over a four stroke engine are stated below: 1. A two stroke engine has twice

WHAT IS LOAD CARRYING CAPACITY ISMB 250 OF 1.2 MTR LENGTH. PL REPLY

limitations of euler''s theory

Convert the flow-rate from Am3/h to Sm3/h Consider a compressor (model ABC-Z4).  The compressor has a suction pressure of 3 barg, and a discharge pressure of 6 barg.  The inlet

Concept of plane stress: Define the concept of plane stress. Sol.:   In cubical element of strained material is acted on by stresses acting on only 2 pairs of parallel plane

TYPES OF TOOL AND EQUIPMENT: We can classify the required tools and equipment into following four categories to understand their uses : General tools, Measuring equipm

Two-Phase flow In a Horizontal Pipe While working for an oil company you are asked to produce a report on a two-phase flow problem. A mixture of oil and gas is to be pumped al

Equilibrium in concurrent force system:   Sol.: The steps for solving problems of equilibrium in concurrent force system are as follows: 1.  First draw free body diagram