undefined
DR. BABASAHEB AMBEDKAR TECHNOLOGICAL UNIVERSITY, LONERE –
RAIGAD 402 103
Semester Examination – May  2019


Branch: Mechanical Engineering
Sem.: IV
Subject with Subject Code: Numerical Method in Mechanical Engineering
(BTMEC404)
Marks: 60
Date: 22/5/2019
Time: 3 Hr.
=
===========================================================
Instructions to the Students
1
2
3
4
. Each question carries 12 marks.
. Attempt any five questions of the following.
. Illustrate your answers with neat sketches, diagram etc., wherever necessary.
. If some part or parameter is noticed to be missing, you may appropriately
assume it and should mention it clearly
_
____________________________________________________________________
Q.1. a) Round off the following to four significant digits
.26425, 35.46735, 0.00032217, 6.248359
04
3
b) The measuring length of bridge and rivet are 9999 and 9 cm respectively, whereas the true value
are 10,000 and 10 cm respectively, Compute true error and true percent relative error for each
case.
04
c) A body travels uniformly a distance of (13.8 ± 0.2) in a time (4.0 ± 0.3) find velocity of body
with in error limits.
04
Q.2. a) Explain the concept of bisection method graphically and write the necessary conditions to find out
the real root by bisection method.
06
06
b) The volume V of liquid in a spherical tank of radius r is related to the depth h of the liquid by
πh^{ꢀ}(ꢁr−h)
V =
. Determine h using NewtonRaphson Method, given r =1 m, and V= 0.5 m^{3 }
ꢁ
Q.3. a) Use Cramer’s rule to solve system of equation
04
ꢂ
x + 3y ꢂ 2z = 5; 4x ꢂ y ꢂ 3z = ꢂ8; 2x + 2y ꢂ 5z = 7.
b) Solve the system of equation with pivoting with pivoting
04
0.0003120x + 0.006032y = 0.003328 ; 0.5000x + 0.894y = 0.9471
A10D47D351C36413541E38D942793045