JEE Physics/ Lakshmikanta Satapathy/ Laws of Motion QA part 2/ Question on Equilibrium of forces solved by resolution of forces into rectangular components
JEE Physics/ Lakshmikanta Satapathy/ Simple Harmonic Motion QA part 11/ Question on Phase difference between two particles oscillating with same amplitude and frequency moving in opposite directions at half amplitude solved with the related concepts
This video contains the talk that I would have given at the Optimal Quantum Control session of the APS March Meeting 2020, in Denver, linked here http://meetings.aps.org/Meeting/MAR20/Session/S38.1
Youtube video: https://www.youtube.com/watch?v=FViq1-WOeVk
JEE Physics/ Lakshmikanta Satapathy/ Simple Harmonic Motion QA part 11/ Question on Phase difference between two particles oscillating with same amplitude and frequency moving in opposite directions at half amplitude solved with the related concepts
This video contains the talk that I would have given at the Optimal Quantum Control session of the APS March Meeting 2020, in Denver, linked here http://meetings.aps.org/Meeting/MAR20/Session/S38.1
Youtube video: https://www.youtube.com/watch?v=FViq1-WOeVk
An Elementary Proof of Kepler's Law of Ellipses Arpan Saha
This talk, given as a part of the Annual Seminar Weekend 2010, IIT Bombay, was centered around the hodograph
proof of Kepler’s Law of Ellipses independently discovered by Maxwell, Hamilton and Feynman.
Imaging, spectroscopy and manipulation of C60 molecule on semiconductor surf...Cristina Chiutu
Scanning probe microscopy techniques were employed to investigate C60 molecules adsorbed on Si(111)-(7x7) and Ag-Si(111)-(√3x√3)R30o using imaging, spectroscopy, and manipulation methods. First, dynamic scanning tunnelling microscopy revealed the lowest unoccupied molecular orbital features of C60 molecules adsorbed on Si(111)-(7x7) with extremely high resolution at 77 K. Experimental data were compared with Hückel molecular orbital theory simulations to determine the orientation of the molecules on these surfaces. Second, C60 molecules were imaged with a qPlus atomic force microscope, in the attractive force regime and appeared as bright spherical protrusions. The potential energy of interaction between the AFM tip and C60 molecules adsorbed on Si(111)-(7x7) was quantified by force spectroscopy.
Furthermore, a C60 molecule was transferred to the scanning probe microscope tip and used as molecular probe to image the Si(111)-(7x7) surface and other C60 molecules. The on-tip C60 molecule was imaged with high precision. Hückel molecular orbital theory calculations accurately predicted the shape and characteristics of molecular orbitals observed with dynamic scanning tunnelling microscopy, which were strongly dependent on molecular symmetry, orientation, and adsorption angle. Using qPlus atomic force microscopy, chemical reactivity was probed close to or at the carbon atom positions in the C60 cage. Density functional theory simulations showed that an (iono)covalent bond formed between a carbon atom and the underlying Si adatom was responsible for contrast formation.
The pair potential for two C60 molecules was also determined experimentally and found to be in very good agreement with the Girifalco potential (Girifalco, L.A., J. Phys. Chem., 1992. 96(2): p. 858). Using Hückel molecular orbital theory, the mutual orientation of a C60 molecule adsorbed on the STM/AFM tip and a C60 molecule adsorbed on the Si(111)-(7x7) surface was determined via comparison of simulated images to the experimental data. Individual C60 molecules were also manipulated with qPlus atomic force microscopy.
Manipulation of single C60 molecules was performed on the Ag-Si(111)-(√3x√3)R30o surface using scanning tunnelling microscopy at room temperature and at 100 K. The interaction was predominantly attractive. Due to weak molecule-substrate interaction, a short-range chemical force between the C60 molecule and the tip was considered to be responsible for the manipulation process.
JEE Physics/ Lakshmikanta Satapathy/ Laws of Motion QA part 5/ JEE Question on motion of a balloon and the effect of change in mass on its acceleration solved with the related concepts
JEE Physics/ Lakshmikanta Satapathy/ Gravitation QA part 3/ JEE question on finding the escape velocity from the surface of a planet from velocity of projection and height gained by a bullet
JEE Physics/ Lakshmikanta Satapathy/ Direct current theory part 5/ Theory of EMF Terminal Potential Difference and Internal Resistance of a cell with complete explanation of the related concepts
At times it is useful to consider a function whose derivative is a given function. We look at the general idea of reversing the differentiation process and its applications to rectilinear motion.
JEE Physics/ Lakshmikanta Satapathy/ Kinematics QA part 8/ Question on uniformly accelerated motion and average velocity solved with the related concepts
An Elementary Proof of Kepler's Law of Ellipses Arpan Saha
This talk, given as a part of the Annual Seminar Weekend 2010, IIT Bombay, was centered around the hodograph
proof of Kepler’s Law of Ellipses independently discovered by Maxwell, Hamilton and Feynman.
Imaging, spectroscopy and manipulation of C60 molecule on semiconductor surf...Cristina Chiutu
Scanning probe microscopy techniques were employed to investigate C60 molecules adsorbed on Si(111)-(7x7) and Ag-Si(111)-(√3x√3)R30o using imaging, spectroscopy, and manipulation methods. First, dynamic scanning tunnelling microscopy revealed the lowest unoccupied molecular orbital features of C60 molecules adsorbed on Si(111)-(7x7) with extremely high resolution at 77 K. Experimental data were compared with Hückel molecular orbital theory simulations to determine the orientation of the molecules on these surfaces. Second, C60 molecules were imaged with a qPlus atomic force microscope, in the attractive force regime and appeared as bright spherical protrusions. The potential energy of interaction between the AFM tip and C60 molecules adsorbed on Si(111)-(7x7) was quantified by force spectroscopy.
Furthermore, a C60 molecule was transferred to the scanning probe microscope tip and used as molecular probe to image the Si(111)-(7x7) surface and other C60 molecules. The on-tip C60 molecule was imaged with high precision. Hückel molecular orbital theory calculations accurately predicted the shape and characteristics of molecular orbitals observed with dynamic scanning tunnelling microscopy, which were strongly dependent on molecular symmetry, orientation, and adsorption angle. Using qPlus atomic force microscopy, chemical reactivity was probed close to or at the carbon atom positions in the C60 cage. Density functional theory simulations showed that an (iono)covalent bond formed between a carbon atom and the underlying Si adatom was responsible for contrast formation.
The pair potential for two C60 molecules was also determined experimentally and found to be in very good agreement with the Girifalco potential (Girifalco, L.A., J. Phys. Chem., 1992. 96(2): p. 858). Using Hückel molecular orbital theory, the mutual orientation of a C60 molecule adsorbed on the STM/AFM tip and a C60 molecule adsorbed on the Si(111)-(7x7) surface was determined via comparison of simulated images to the experimental data. Individual C60 molecules were also manipulated with qPlus atomic force microscopy.
Manipulation of single C60 molecules was performed on the Ag-Si(111)-(√3x√3)R30o surface using scanning tunnelling microscopy at room temperature and at 100 K. The interaction was predominantly attractive. Due to weak molecule-substrate interaction, a short-range chemical force between the C60 molecule and the tip was considered to be responsible for the manipulation process.
JEE Physics/ Lakshmikanta Satapathy/ Laws of Motion QA part 5/ JEE Question on motion of a balloon and the effect of change in mass on its acceleration solved with the related concepts
JEE Physics/ Lakshmikanta Satapathy/ Gravitation QA part 3/ JEE question on finding the escape velocity from the surface of a planet from velocity of projection and height gained by a bullet
JEE Physics/ Lakshmikanta Satapathy/ Direct current theory part 5/ Theory of EMF Terminal Potential Difference and Internal Resistance of a cell with complete explanation of the related concepts
At times it is useful to consider a function whose derivative is a given function. We look at the general idea of reversing the differentiation process and its applications to rectilinear motion.
JEE Physics/ Lakshmikanta Satapathy/ Kinematics QA part 8/ Question on uniformly accelerated motion and average velocity solved with the related concepts
JEE Physics/ Lakshmikanta Satapathy/ Direct Current QA part 9/ Question on Power consumed by an external resistance connected across a parallel combination of two identical cells
JEE Mathematics/ Lakshmikanta Satapathy/ Sequences and Series QA part 3/ JEE question on the sum of a special sequence solved with the related concepts
JEE Physics/ Lakshmikanta Satapathy/ Vectors QA part 1/ Question on rectangular components of vectors asked by a student solved with the related concepts
JEE Physics/ Lakshmikanta Satapathy/ Kinematics of Particles QA part 7/ JEE Question on Man crossing a flowing river in shortest distance and in shortest time solved with the related concepts
JEE Mathematics/ Lakshmikanta Satapathy/ Binomial Theorem QA part 5/ JEE Question on finding the sum of all coefficients in a Trinomial expansion solved with the related concepts
JEE Physics/ Lakshmikanta Satapathy/ Laws of Motion QA part 7/ Question on Breaking stress of wire connected in a pulley block system solved with the related concepts
MATLAB sessions: Laboratory 6
MAT 275 Laboratory 6
Forced Equations and Resonance
In this laboratory we take a deeper look at second-order nonhomogeneous equations. We will concentrate
on equations with a periodic harmonic forcing term. This will lead to a study of the phenomenon known
as resonance. The equation we consider has the form
d2y
dt2
+ c
dy
dt
+ ω20y = cosωt. (L6.1)
This equation models the movement of a mass-spring system similar to the one described in Laboratory
5. The forcing term on the right-hand side of (L6.1) models a vibration, with amplitude 1 and frequency
ω (in radians per second = 12π rotation per second =
60
2π rotations per minute, or RPM) of the plate
holding the mass-spring system. All physical constants are assumed to be positive.
Let ω1 =
√
ω20 − c2/4. When c < 2ω0 the general solution of (L6.1) is
y(t) = e−
1
2 ct(c1 cos(ω1t) + c2 sin(ω1t)) + C cos (ωt− α) (L6.2)
with
C =
1√
(ω20 − ω2)
2
+ c2ω2
, (L6.3)
α =
⎧
⎨
⎩
arctan
(
cω
ω20−ω2
)
if ω0 > ω
π + arctan
(
cω
ω20−ω2
)
if ω0 < ω
(L6.4)
and c1 and c2 determined by the initial conditions. The first term in (L6.2) represents the complementary
solution, that is, the general solution to the homogeneous equation (independent of ω), while the second
term represents a particular solution of the full ODE.
Note that when c > 0 the first term vanishes for large t due to the decreasing exponential factor.
The solution then settles into a (forced) oscillation with amplitude C given by (L6.3). The objectives of
this laboratory are then to understand
1. the effect of the forcing term on the behavior of the solution for different values of ω, in particular
on the amplitude of the solution.
2. the phenomena of resonance and beats in the absence of friction.
The Amplitude of Forced Oscillations
We assume here that ω0 = 2 and c = 1 are fixed. Initial conditions are set to 0. For each value of ω, the
amplitude C can be obtained numerically by taking half the difference between the highs and the lows
of the solution computed with a MATLAB ODE solver after a sufficiently large time, as follows: (note
that in the M-file below we set ω = 1.4).
1 function LAB06ex1
2 omega0 = 2; c = 1; omega = 1.4;
3 param = [omega0,c,omega];
4 t0 = 0; y0 = 0; v0 = 0; Y0 = [y0;v0]; tf = 50;
5 options = odeset(’AbsTol’,1e-10,’RelTol’,1e-10);
6 [t,Y] = ode45(@f,[t0,tf],Y0,options,param);
7 y = Y(:,1); v = Y(:,2);
8 figure(1)
9 plot(t,y,’b-’); ylabel(’y’); grid on;
c⃝2011 Stefania Tracogna, SoMSS, ASU 1
MATLAB sessions: Laboratory 6
10 t1 = 25; i = find(t>t1);
11 C = (max(Y(i,1))-min(Y(i,1)))/2;
12 disp([’computed amplitude of forced oscillation = ’ num2str(C)]);
13 Ctheory = 1/sqrt((omega0^2-omega^2)^2+(c*omega)^2);
14 disp([’theoretical amplitude = ’ num2str(Ctheory)]);
15 %----------------------------------------------------------------
16 function dYdt = f(t,Y,param)
17 y = Y(1); v = Y(2);
18 omega0 = param(1); c = param(2); omega = param(3);
19 dYdt = [ v ; cos(omega ...
Using blurred images to assess damage in bridge structures?Alessandro Palmeri
Faster trains and augmented traffic have significantly increased the number and amplitude of loading cycles experienced on a daily basis by composite steel-concrete bridges. This higher demand accelerates the occurrence of damage in the shear connectors between the two materials, which in turn can severely affect performance and reliability of these structures. The aim of this talk is to present the preliminary results of theoretical and experimental investigations undertaken to assess the feasibility of using the envelope of deflections and rotations induced by moving loads as a practical and cost-effective alternative to traditional methods of health monitoring for composite bridges. Both analytical and numerical formulations for this dynamic problem are presented and the results of a parametric study are discussed. A novel photogrammetric approach is also introduced, which allows identifying vibration patterns in civil engineering structures by analysing blurred targets in long-exposure digital images. The initial experimental validation of this approach is presented and further challenges are highlighted.
Interparticle Interactions and Dynamics in Solutions of Copper (II), Cobalt (...Dmitry Novikov
This presentation is a report from the PLMMP-2018 conference. For any information contact me here: dmitrynovikovs@gmail.com
Abstract
This work is a continuation of the systematic study of unsymmetrical electrolytes in non-aqueous media, carried out at the Department of Inorganic Chemistry of V.N. Karazin Kharkiv National University [1].
Here we report the results of the conductometric study of diluted solutions of Cu(BF4)2, Zn(BF4)2 and Co(BF4)2 in acetonitrile (AN) at 5-55 oC. The extended Lee-Wheaton equation was used to procced conductometric data and obtain primary association constants, limiting equivalent conductance of electrolytes and limiting ionic conductivities. The primary association constants were then used to interpret the contribution of the ionic solvation and association in terms of contact ionic pairs, solvent-separated ionic pairs and short-range non-Coulomb interionic potential.
Obtained values of total limiting equivalent conductivity of electrolyte and the limiting conventional transference numbers allowed us to divide the equivalent conductivity on ionic constituents. These data were later proceeded to evaluate the parameter of dynamics of ionic solvation, within the modified theory of the dielectric friction.
Additionally, densimetric study was carried out to derive structural parameters of ion solvation of Cu(BF4)2, Zn(BF4)2 and Co(BF4)2 in AN at 5-55 oC.
Finally, molecular dynamics simulations were performed on the same electrolyte/AN systems by means of MDNAES package [2] to elucidate particle dynamics and microscopic structure within the first and second co-ordination shells of copper (II), cobalt (II) and zinc (II) cations in AN at 25 °C.
References
[1] O.N. Kalugin, V.N. Agieienko and N.A. Otroshko, J. Molec. Liquids, 165, 78-86 (2012).
[2] O. N. Kalugin, M. N. Volobuev, and Y. V. Kolesnik, Khar. Univ. Bull., Chem. Ser. 454, 58-80 (1999).
JEE Physics/ Lakshmikanta Satapathy/ Photo electric effect QA part 2/ JEE question on experimental determination of Planck's constant from photo electric effect solved with the related concepts
Cmos digital integrated circuits analysis and design 4th edition kang solutio...vem2001
CMOS Digital Integrated Circuits Analysis and Design 4th Edition Kang Solutions Manual
Download:https://goo.gl/n2KuTT
cmos digital integrated circuits 4th edition pdf
cmos digital integrated circuits analysis & design 4th edition
cmos digital integrated circuits analysis and design 3rd edition solution manual
cmos kang solutions chapter 6
cmos digital circuits
analysis and design of digital integrated circuits hodges pdf free download
digital integrated circuits pdf
analysis and design of digital integrated circuits pdf
Solution for Introduction to Environment Engineering and Science 3rd edition ...shayangreen
Complete Solution for Introduction to Environment Engineering and Science 3rd edition by Gilbert M. Masters
IMPORTANT NOTE:IF YOU WANT TO USE THIS SOLUTION YOU MUST DOWNLOAD THE SECOND EDITION AS WELL.
SOLUTION TO SECOND EDITION IS IN MY PROFILE TOO.
HERE IS THE LINK:
http://www.slideshare.net/shayangreen/solution-for-introduction-to-environment-engineering-and-science-2nd-edition-by-gilbert-m-masters
Using TE021 s = 2 mode to simulation the possible competition mode and operate in the specific voltage and magnetic field condition that can stationary operation
JEE Physics/ Lakshmikanta Satapathy/ Work Energy and Power/ Force and Potential energy/ Angular momentum and Speed of Particle/ MCQ one or more correct
JEE Physics/ Lakshmikanta Satapathy/ MCQ On Work Energy Power/ Work-Energy theorem/ Work done by Gravity/ Work done by Air resistance/ Change in Kinetic Energy of body
CBSE Physics/ Lakshmikanta Satapathy/ Electromagnetism QA/ Magnetic field due to circular coil at center & on the axis/ Magnetic field due to Straight conductor/ Magnetic Lorentz force
CBSE Physics/ Lakshmikanta Satapathy/ Amplitudes of Reflected and Transmitted waves/ Sound as Pressure wave/ Speed of sound in Fluids/ Intensity and Loudness of sound
CBSE Physics/ Lakshmikanta Satapathy/ Wave motion/ Vibration of air columns/ Open & closed pipes/ Fundamental frequency & overtones/ End correction/ Resonance tube
CBSE Physics/ Lakshmikanta Satapathy/ Wave Motion Theory/ Reflection of waves/ Traveling and stationary waves/ Nodes and anti-nodes/ Stationary waves in strings/ Laws of transverse vibration of stretched strings
CBSE Physics/ Lakshmikanta Satapathy/ Wave theory/ path difference and Phase difference/ Speed of sound in a gas/ Intensity of wave/ Superposition of waves/ Interference of waves
JEE Mathematics/ Lakshmikanta Satapathy/ Definite integrals part 8/ JEE question on definite integral involving integration by parts solved with complete explanation
JEE Physics/ Lakshmikanta Satapathy/ Question on the magnitude and direction of the resultant of two displacement vectors asked by a student solved in the slides
JEE Mathematics/ Lakshmikanta Satapathy/ Quadratic Equation part 2/ Question on properties of the roots of a quadratic equation solved with the related concepts
JEE Mathematics/ Lakshmikanta Satapathy/ Probability QA part 12/ JEE Question on Probability involving the complex cube roots of unity is solved with the related concepts
JEE Mathematics/ Lakshmikanta Satapathy/ Inverse trigonometry QA part 6/ Questions on Inverse trigonometric functions involving tan inverse function solved with the related concepts
JEE Mathematics/ Lakshmikanta Satapathy/ Inverse Trigonometry QA part 5/ Question on sin inverse cosine inverse and tan inverse solved with the related concepts
JEE Physics/ Lakshmikanta Satapathy/ Transient current QA part 1/ JEE question on maximum and minimum current from a DC source connected across Inductance and Resistance solved with the related concepts
JEE Physics/ Lakshmikanta Satapathy/ Electromagnetism QA part 7/ Question on doubling the range of an ammeter by shunting solved with the related concepts
JEE Mathematics/ Lakshmikanta Satapathy/ Binomial theorem part 6/ JEE Question on the coefficient of a given power of x in the expansion of 100 factors
June 3, 2024 Anti-Semitism Letter Sent to MIT President Kornbluth and MIT Cor...Levi Shapiro
Letter from the Congress of the United States regarding Anti-Semitism sent June 3rd to MIT President Sally Kornbluth, MIT Corp Chair, Mark Gorenberg
Dear Dr. Kornbluth and Mr. Gorenberg,
The US House of Representatives is deeply concerned by ongoing and pervasive acts of antisemitic
harassment and intimidation at the Massachusetts Institute of Technology (MIT). Failing to act decisively to ensure a safe learning environment for all students would be a grave dereliction of your responsibilities as President of MIT and Chair of the MIT Corporation.
This Congress will not stand idly by and allow an environment hostile to Jewish students to persist. The House believes that your institution is in violation of Title VI of the Civil Rights Act, and the inability or
unwillingness to rectify this violation through action requires accountability.
Postsecondary education is a unique opportunity for students to learn and have their ideas and beliefs challenged. However, universities receiving hundreds of millions of federal funds annually have denied
students that opportunity and have been hijacked to become venues for the promotion of terrorism, antisemitic harassment and intimidation, unlawful encampments, and in some cases, assaults and riots.
The House of Representatives will not countenance the use of federal funds to indoctrinate students into hateful, antisemitic, anti-American supporters of terrorism. Investigations into campus antisemitism by the Committee on Education and the Workforce and the Committee on Ways and Means have been expanded into a Congress-wide probe across all relevant jurisdictions to address this national crisis. The undersigned Committees will conduct oversight into the use of federal funds at MIT and its learning environment under authorities granted to each Committee.
• The Committee on Education and the Workforce has been investigating your institution since December 7, 2023. The Committee has broad jurisdiction over postsecondary education, including its compliance with Title VI of the Civil Rights Act, campus safety concerns over disruptions to the learning environment, and the awarding of federal student aid under the Higher Education Act.
• The Committee on Oversight and Accountability is investigating the sources of funding and other support flowing to groups espousing pro-Hamas propaganda and engaged in antisemitic harassment and intimidation of students. The Committee on Oversight and Accountability is the principal oversight committee of the US House of Representatives and has broad authority to investigate “any matter” at “any time” under House Rule X.
• The Committee on Ways and Means has been investigating several universities since November 15, 2023, when the Committee held a hearing entitled From Ivory Towers to Dark Corners: Investigating the Nexus Between Antisemitism, Tax-Exempt Universities, and Terror Financing. The Committee followed the hearing with letters to those institutions on January 10, 202
Francesca Gottschalk - How can education support child empowerment.pptxEduSkills OECD
Francesca Gottschalk from the OECD’s Centre for Educational Research and Innovation presents at the Ask an Expert Webinar: How can education support child empowerment?
Model Attribute Check Company Auto PropertyCeline George
In Odoo, the multi-company feature allows you to manage multiple companies within a single Odoo database instance. Each company can have its own configurations while still sharing common resources such as products, customers, and suppliers.
Biological screening of herbal drugs: Introduction and Need for
Phyto-Pharmacological Screening, New Strategies for evaluating
Natural Products, In vitro evaluation techniques for Antioxidants, Antimicrobial and Anticancer drugs. In vivo evaluation techniques
for Anti-inflammatory, Antiulcer, Anticancer, Wound healing, Antidiabetic, Hepatoprotective, Cardio protective, Diuretics and
Antifertility, Toxicity studies as per OECD guidelines
Operation “Blue Star” is the only event in the history of Independent India where the state went into war with its own people. Even after about 40 years it is not clear if it was culmination of states anger over people of the region, a political game of power or start of dictatorial chapter in the democratic setup.
The people of Punjab felt alienated from main stream due to denial of their just demands during a long democratic struggle since independence. As it happen all over the word, it led to militant struggle with great loss of lives of military, police and civilian personnel. Killing of Indira Gandhi and massacre of innocent Sikhs in Delhi and other India cities was also associated with this movement.
Welcome to TechSoup New Member Orientation and Q&A (May 2024).pdfTechSoup
In this webinar you will learn how your organization can access TechSoup's wide variety of product discount and donation programs. From hardware to software, we'll give you a tour of the tools available to help your nonprofit with productivity, collaboration, financial management, donor tracking, security, and more.
Unit 8 - Information and Communication Technology (Paper I).pdfThiyagu K
This slides describes the basic concepts of ICT, basics of Email, Emerging Technology and Digital Initiatives in Education. This presentations aligns with the UGC Paper I syllabus.
How to Make a Field invisible in Odoo 17Celine George
It is possible to hide or invisible some fields in odoo. Commonly using “invisible” attribute in the field definition to invisible the fields. This slide will show how to make a field invisible in odoo 17.
How libraries can support authors with open access requirements for UKRI fund...
Laws of Motion QA 2
1. Physics Helpline
L K Satapathy Laws of Motion 2
Equilibrium of a System of Forces
2. Physics Helpline
L K Satapathy Laws of Motion 2
Question : A block of mass 10 kg is
suspended from a horizontal bar
using two strings OA and OB of
lengths 9m and 12m respectively. The
ends A and B of the strings are fixed
at two points on the bar 15m apart as
shown in the figure. The tension in
the string OA is [ Take g = 10 m/s ]
(a) 100 N (b) 80 N (c) 60 N (d) 40 N
10 kg
15 m
12 m9 m
1T 2T
A B
O
2
3. Physics Helpline
L K Satapathy Laws of Motion 2
Answer :
1 2
9
sin cos 0.6
15
OA
AB
2 1
12
sin cos 0.8
15
OB
AB
Components of T1 :
Given : OA = 9m OB = 12m AB = 15m
2 2 2
90o
AB OA OB AOB
In AOB :
1 1 1 1( ) sin ( ) cosi T along OX ii T along OD
Components of T2 : 2 2 2 2( ) sin ( ) cosiii T along OX iv T along OD
1 2 1 2, 90o
AOD BOD
A
1T
2T
B
O
XX
W
D
1
1 2
2
2 2sinT 1 1sinT
1 1cosT
2 2cosT
4. Physics Helpline
L K Satapathy Laws of Motion 2
1 1 2 2sin sinT T
1 1 2 2cos cosT T W
1 2 1 2
4
0.6 0.8 . . . (1)
3
T T T T
1 20.8 0.6 100T T Mg
1 24 3 500 . . . (2)T T
2 2 2
4 25
(1) (2) 4 3 500 500
3 3
and T T T
2 1 2
4
60 80
3
T N T T N
Horizontal equilibrium
Vertical equilibrium
2 2sinT 1 1sinT
W
1 1cosT
2 2cosT
Correct option = (b)
5. Physics Helpline
L K Satapathy
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