LECTURE # 23|| MOMENTS OF INERTIA VIA TRIPLE INTEGRALS|| EX:10.4 || PROBLEM# 4a & 4b|| S.M YOUSAF
Автор: Maths 4 U
Загружено: 2022-05-29
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This course is specially designed for the students of 3rd semester who are doing B.S Mathematics from Punjab University Lahore, Pakistan.
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B.S MATHEMATICS|| CHAPTER# 10 MULTIPLE INTEGRALS
COURSE CODE: MATH-202 || PUNJAB UNIVERISTY.
COURSE: MATHEMATICS B-III|| CALCULUS-II
MULTIVARIABLE CALCULUS FOR B.S MATHEMATICS
TOPIC: MOMENTS OF INERTIA VIA TRIPLE INTEGRALS.
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LECTURE # 23
In this lecture I shall discuss question number 4 of Exercise 10.4 from your text book Calculus and Analytic Geometry written by S.M YOUSAF.
Here you can learn how to find SECOND MOMENTS OF INERTIA by using triple integrals.
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QUESTION # 4 Find the moments of Inertia Ix,Iy and Iz of the following volumes:
a) Bounded by the coordinate planes and 6x+4y+3z=12.
b) Inside x^2+y^2=x, bounded above by z=0 and below by x^2+y^2=4z.
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TIME CODE FOR VIDEO CHAPTERS.
00:00 INTRODUCTION MOMENTS OF INERTIA VIA TRIPLE INTEGRALS.
00:57 Question 4(a) Exercise 10.4 Calculus.
33:35 Question 4(b) Exercise 10.4 Calculus.
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TO WATCH COMPLETE PLAY LIST OF
MULTIPLE INTEGRALS CLICK ON LINK BELOW.
• CHAPTER#10 MULTIPLE INTEGRALS. B.S MATHS
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In this play list you can find the following contents
(1) DOUBLE INTEGRALS
(2) USE DOUBLE INTEGRALS FOR AREA UNDER THE CURVES.
(3) USE DOUBLE INTEGRALS FOR VOLUME OF SOLID.
(4) DOUBLE INTEGRALS IN POLAR COORDINATES.
(5) APPLICATIONS OF DOUBLE INTEGRALS.
(6) TRIPLE INTEGRALS.
(7) TRIPLE INTEGRALS IN CYLENDRICAL COORDINATES.
(8) TRIPLE INTEGRALS IN SPHERICAL COORDINATES.
(9) APPLICATIONS OF TRIPLE INTEGRALS.
(10) MASS, DENSITY, FIRST AND SECOND MOMENTS OF INERTIA
(11) CHANGE OF ORDER OF INTEGRATION IN DOUBLE INTEGRALS
(12) IMPORTANT FORMULAS OF MULTIPLE INTEGRALS
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My lectures have equal importance for students of all universities of Pakistan, India, Bangladesh and all other countries where universities are offering this course.
Specially my lecture may be very helpful for students of following universities of Pakistan
(1) LAHORE UNIVERISTY (2) PUNJAB UNIVERISTY (3) SARGODHA UNIVERISTY (4) FAST UNIVERISTY (5) VIRTUAL UNIVERISTY (6) BZU(BHAU DIN ZIKRIYA) UNIVERISTY (7) G.C UNIVERISTY (8) F.C COLLEGE UNIVERSITY (9) U.E.T (10) GUJRAT UNIVERSITY (11) PISHAWAR UNIVERSITY (12) SINDH UNIVERSITY (13) COMSAT (14) LUMS UNIVERSITY
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THIS VIDEO MAY BE HELPFUL FOR PAKISTANIS, INDIAN, BANGLADESIAN AND ALL THE MATHEMATICS STUEDENTS OF THE WORLS WHO KNOWN URDU LANGUAGE WELL.
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