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Fill in the Blank (FBQs) FBQ1 A vector is a quantity specified by ------------- and ---------------- *Magnitude and direction* 1.0000000 *Magnitude direction* 1.0000000 *Magnitude, direction* 1.0000000 *Magnitude/direction* 1.0000000 FBQ2 The _________vector coincides with the origin *Zero vector* 1.0000000 *Zero* 1.0000000 FBQ3 Suppose a=(ax,ay,az) and b=(bx,by,bz) are two vectors, then the expression ax+bx,ay+by,az+bz= ___ *a+b* 1.0000000 *a + b* 1.0000000 FBQ4 The three unit vectors i,j,kpointing in the directions of the x, y, z axis form what is known as _________ *Orthonomal triad* 1.0000000 0.0000000 FBQ5 A vector whose sense is merely conventional, and would be reversed by changing from a right-hand to a left-hand convention is called ______ *Axial vector* 1.0000000 0.0000000 FBQ6 The vector product of a vector with itself is the _____ vector *Zero* 1.0000000 *0* 1.0000000 FBQ7 A scalar quantity is specified by _________ *Direction* 1.0000000 0.0000000 FBQ8 For a vector field A the expression ∇.A=i∂Ax∂x+j∂Ay∂y+k∂Az∂z is defined _________. *div A* 1.0000000 0.0000000 FBQ9 ∇×A=i∂Ax∂y-∂Ay∂z+j∂Ax∂z-∂Az∂x+k(∂Ay∂x-∂Ax∂y) is the expression for _________ *curl A* 1.0000000 0.0000000 FBQ10 For two nonparallel vectors a and b drawn from 0 define a unique axis through 0 perpendicular to the plane containing a and b, the value absinθ is the ___ *Vector product* 1.0000000 0.0000000 FBQ11 If θ is the angle between the vectors a and b, then the ___ of their sum is given by a2+b22abcosθ *Length* 1.0000000 0.0000000 FBQ12 Any vector r can be written as a sum of three vectors along the three axes as R= __________ *xi +yj + xk* 1.0000000 0.0000000 FBQ13 The basic equations of electromagnetic theory are _______ equations *Maxwell’s* 1.0000000 *Maxwell* 1.0000000 FBQ14 _______force equation determines the force on a particle of charge q moving with velocity v. *Lorentz* 1.0000000 *Lorentz’s* 1.0000000 FBQ15 A'=A-∇Λ is a ___ equation *Transformation* 1.0000000 0.0000000 FBQ16 When there is no electric charge or current density, there are _____dimensional wave equations, which describe a wave propagating with velocity c *Three* 1.0000000 *3* 1.0000000 FBQ17 For a static case, in which all the fields are time-independent; Maxwell’s equations separate into a pair of ______equations *Electrostatic* 1.0000000 0.0000000 FBQ18 The magnetic dipole field has precisely the same form asthe _____dipole field *Electric* 1.0000000 0.0000000 FBQ19 The first two members of a family of quantities known as tensors are _____ and ______ *Scalars and vectors* 1.0000000 *Scalars, vectors* 1.0000000 FBQ20 Scalars are called tensors of rank ______ *Zero* 1.0000000 *0* 1.0000000 FBQ21 The family of tensors of rank 2 are often called ______ *Dyadic* 1.0000000 0.0000000 FBQ22 Most frequently when one vector b is defined as a linear function of another vector a _______ occurs *Tensor* 1.0000000 0.0000000 FBQ23 Tensors are commonly denoted by ______ capitals *Sans-serif capital* 1.0000000 0.0000000 FBQ24 A tensor T has ________ components *Nine* 1.0000000 *9* 1.0000000 FBQ25 A vector a is called an/a ________of T if Ta=λa *Eigenvector* 1.0000000 0.0000000 FBQ26 For a vector a if Ta=λa, λ is called the__________________ *Eigenvalue* 1.0000000 0.0000000 FBQ27 Equivalently, Ta=λa may be written as T-λ1a= *0* 1.0000000 0.0000000 FBQ28 When the density is a constant, the systems is said to be of _______ *Uniform* 1.0000000 0.0000000 FBQ29 A mass defined per unit volume is called _______ density *Volume* 1.0000000 0.0000000 FBQ30 We can define a mass per unit length or linear density when the particles occupy a ________ *Line* 1.0000000 0.0000000 FBQ31 When ______ system of particles occupies a surface, we can define a surface density or mass per unit area *Continuous* 1.0000000 0.0000000 FBQ32 Forces that change the distances between individual particles when applied to systems of particles are called _______systems *Deformable* 1.0000000 0.0000000 FBQ33 A system in which the distance between any two specified particles remains the same regardless of applied forces is called ________ *Rigid body* 1.0000000 0.0000000 FBQ34 The number of coordinates required to specify the position of a system of one or more particles is called the number of __________of the system *Degrees of freedom* 1.0000000 0.0000000 FBQ35 The number of degrees of freedom for five particles moving freely in a plane is ___ *Ten* 1.0000000 *10* 1.0000000 FBQ36 A system consisting of N particles moving freely in space requires 3N_____ to specify its position. *Coordinates* 1.0000000 0.0000000 FBQ37 A constraint is ________ if the particle is constrained to move along a surface which is in a plane Holonomic 1.0000000 0.0000000 FBQ38 The total linear impulse is equal to the change in linear _______ *Motion* 1.0000000 0.0000000 FBQ39 A rigid body which can move freely in space has ______ degrees of freedom *6* 1.0000000 *Six* 1.0000000 FBQ40 In practice it is fairly simple to go from discrete to continuous systems by merely replacing summations by__________ *Integration* 1.0000000 0.0000000 FBQ41 If a system of particles is in a uniform gravitational field, the center of mass is sometimes called the ___________ *Centre of gravity* 1.0000000 0.0000000 FBQ42 If Vv=drvdt=r˙v is the velocity of mv, the p= ∑u=1Nmvvw=∑u=1Nmvrv˙ defines the ___of the system *Total momentum* 1.0000000 0.0000000 FBQ43 The velocity v -of the ___is given by v-=dr-dt *Centre of mass* 1.0000000 0.0000000 FBQ44 The total momentum of a system of particles can be found by multiplying the ___ M of the system by the velocity v - *Total mass* 1.0000000 0.0000000 FBQ45 If the resultant external force acting on a system of particles is zero, then the total ________ remains constant *Momentum* 1.0000000 0.0000000 FBQ46 The quantity Ω=∑v=1Nmv(rvXVv)is called the total ________ momentum of the system of particles about origin O angular 1.0000000 0.0000000 FBQ47 The sum ∧=∑v=1Nrv(rvXFv) is called the total external ______ about the origin *Torque* 1.0000000 0.0000000 FBQ48 The total external torque on a system of particles is equal to the time rate of change of angular momentum of the system, provided that the internal forces between particles are ________ forces *Central* 1.0000000 0.0000000 FBQ49 When all forces, external and internal, are conservative, we can define a total ______ energy V of the system. potential 1.0000000 0.0000000 FBQ50 If Tand Vare respectively the total kinetic energy and total potential energy of a system of particles, then T + V= constant is called the principle of ________for systems of particles. *Conservation of energy* 1.0000000 0.0000000 FBQ17 The first two members of a family of quantities known as tensors are {#1} and {#2} 4689 4690,4691 FBQ17 {100:SHORTANSWER:%100%Scalars} Scalars 1.0000000 FBQ17 {100:SHORTANSWER:%100%vectors} vectors 1.0000000 Multiple Choice Questions (MCQs) MCQ1 Geometrically, a vector is represented by ______ a line 0.0000000 a dot 0.0000000 a curve 0.0000000 an arrow 1.0000000 MCQ2 The scalar product of two vectors a and b is given by ____ a.bcosθ 1.0000000 (a+b) cosθ 0.0000000 ab cosθ 0.0000000 a . b sinθcosθ 0.0000000 MCQ3 The vector product of a vector with itself is the_____ vector polar 0.0000000 zero 1.0000000 axial 0.0000000 negative 0.0000000 MCQ4 _______force equation determines the force on a particle of charge q moving with velocity v. Gauss 0.0000000 Lorenzo 0.0000000 Maxwell’s 0.0000000 Lorentz 1.0000000 MCQ5 The transformation A'= ∇Λ is called a _______ transformation. guage 1.0000000 guag 0.0000000 Gauss 0.0000000 grad 0.0000000 MCQ6 How many coordinates are required to specify the position of a rigid body which moves freely in space? 3 0.0000000 4 0.0000000 6 1.0000000 2 0.0000000 MCQ7 What is the scalar vector of the two vectors a=(ax,ay,az)andb=(bx,by,bz)? axbx+ayby+azbz 1.0000000 axbz+aybx 0.0000000 axby+aybz 0.0000000 axbx-ayby-azbz 0.0000000 MCQ8 The magnetic dipole field has precisely the same form as the _____dipole field. electromagnetic 0.0000000 electric 1.0000000 density 0.0000000 electrostatic 0.0000000 MCQ9 The first two members of a family of quantities known as tensors are _____ and ____. scalars and tensor 0.0000000 vectors and magnitude 0.0000000 scalars and vectors 1.0000000 vectors and tensor 0.0000000 MCQ10 Tensors are commonly denoted by ______ capitals small 0.0000000 sans 0.0000000 serif 0.0000000 sans-serif 1.0000000 MCQ11 A tensor Thas ________ components. 6 0.0000000 3 0.0000000 9 1.0000000 1 0.0000000 MCQ12 A vector ais called an/a ________of T if Ta=λa eigenvector 1.0000000 eigenvalue 0.0000000 unit vector 0.0000000 null vector 0.0000000 MCQ13 Given that Ta=λa, where T is a tensor, the number λ is called ______ eigenvector 0.0000000 eigenvalue 1.0000000 unit vector 0.0000000 null vector 0.0000000 MCQ14 Ta=λacan also be written as _________ T-λ1=0 0.0000000 T-λ1a=0 1.0000000 T+λ1=0 0.0000000 T+λa=0 0.0000000 MCQ15 The total momentum of a system of particles can be found by multiplying the total mass M of the system by the velocity v-of the __________ center of mass 1.0000000 center of gravity 0.0000000 gravitational field 0.0000000 force of attraction 0.0000000 MCQ16 A systems is said to be of uniform density when the density is ______ uniform 0.0000000 dense 0.0000000 constant 1.0000000 normal 0.0000000 MCQ17 Forces applied to systems of particles will change the distances between individual particles. Such systems are often called ___ bodies deformable 1.0000000 non-deformable 0.0000000 uniform 0.0000000 collapsible 0.0000000 MCQ18 Mass per unit volume is known as _______ continuous system 0.0000000 pressure 0.0000000 surface area 0.0000000 density 1.0000000 MCQ19 Vectors are tensors of rank ______ 0 0.0000000 3 0.0000000 4 0.0000000 1 1.0000000 MCQ20 Dyadic are members of the tensor family of rank ______ 0 0.0000000 3 0.0000000 2 1.0000000 1 0.0000000 MCQ21 Forces that can change the distances between individual particles of agiven systems are called _______ deformable forces 1.0000000 contact forces 0.0000000 continuous forces 0.0000000 discrete force 0.0000000 MCQ22 A system in which the distance between any two particles remains constant regardless of the applied forces is called ________ rigid body 1.0000000 free body 0.0000000 static body 0.0000000 polar body 0.0000000 MCQ23 The number of degree of freedom of a system is the number of ______ required to specify the position of a system of one or more particles. forces 0.0000000 system 0.0000000 particles 0.0000000 coordinates 1.0000000 MCQ24 The vector function r(t) = x(t)i+ y(t)j+ z(t)k from the origin to the particle is called the _________ vector null 0.0000000 position 1.0000000 commutative 0.0000000 identity 0.0000000 MCQ25 What is the number of degrees of freedom for five particles moving freely in space? 15 1.0000000 10 0.0000000 2 0.0000000 1 0.0000000 MCQ26 A system of N particles moving freely in space requires _____ to specify its position. 2N coordinates 0.0000000 6N coordinates 0.0000000 3Ncoordinates 1.0000000 N coordinates 0.0000000 MCQ27 Surface density is defined as ________ mass per unit area 1.0000000 mass per unit volume 0.0000000 volume per unit area 0.0000000 pressure per unit area 0.0000000 MCQ28 A rigid body which can move freely in space has ______ degrees of freedom. 6 1.0000000 10 0.0000000 2 0.0000000 1 0.0000000 MCQ29 To go from discrete systems to continuous systems, we simply replace summations by __________ multiplications 0.0000000 coordinates 0.0000000 differentiations 0.0000000 integrations 1.0000000 MCQ30 The principle of conservation of momentum states that ________ the resultant of the external forces acting on a system of particles is zero 1.0000000 the sum of some of the external forces acting on a system of particles is zero 0.0000000 system of particles is under the state of motion under the action of an applied force 0.0000000 the resultant of the external forces acting on a system of particles is negligible 0.0000000 MCQ31 The center of mass for a body with uniform gravitational fieldis called ________ mass center 0.0000000 center of gravity 1.0000000 gravitational attraction 0.0000000 center of attraction 0.0000000 MCQ32 The number of degree of freedom of a particle moving freely in space is _______ 5 0.0000000 3 1.0000000 2 0.0000000 1 0.0000000 MCQ33 The velocity v-of the center of mass of an object is given by _________ v-=drdt 0.0000000 v-=ds-dt 1.0000000 v-=dr-dt 0.0000000 v-=dr-dv 0.0000000 MCQ34 Which of the following is not correct? Total momentum remains constant if the resultant external forces acting on a system of particles is zero 0.0000000 Total momentum is conserved if the resultant external forces acting on a system of particles is zero 0.0000000 If the resultant external forces acting on a system of particles is zero, the center of mass is either at rest or in motion with constant velocity 0.0000000 Total momentum is zero if the resultant external forces acting on a system of particles is conserved 1.0000000 MCQ35 The quantity Ω=∑v=1Nmvrv*Vv Is called ________ of the system of particles about origin O. the total momentum 0.0000000 the total circular momentum 0.0000000 the total angular momentum 1.0000000 the total angular moment 0.0000000 MCQ36 The total external torque on a system of particles is equal to the time rate of change of angular momentum of the system, provided that the internal forces between particles are ________ forces. Triangular 0.0000000 circular 0.0000000 angular 0.0000000 central 1.0000000 MCQ37 The total linear impulse of force is equal to the change in linear _______ momentum 1.0000000 torque 0.0000000 energy 0.0000000 force 0.0000000 MCQ38 If T and V are respectively the total kinetic energy and total potential energy of a system of particles, then the formulaT + V= constant is called the ________for systems of particles. the principle of conservation of momentum 0.0000000 the principle of conservation of potential energy 0.0000000 the principle of conservation of energy 1.0000000 uniform energy 0.0000000 MCQ39 Assuming that the total mass of a system of particles is located at the center of massO, then the total kinetic energy equals the kinetic energy of translation plus______ about the center of mass. the kinetic energy motion 1.0000000 the kinetic energy force 0.0000000 the kinetic energy momentum 0.0000000 the kinetic energy moment 0.0000000 MCQ40 Which of the following is true for rigid bodies and for motion on curves and surfaces without friction? the virtual work of the constraint forces is zero 1.0000000 the virtual work of the constraint forces is negligible 0.0000000 the virtual work of the constraint forces is infinity 0.0000000 the virtual work of the constraint nonzero 0.0000000 MCQ41 If F is the total external force acting on a system of particles, then which of the following best describes the total linear impulse of the force? ∫t1t2Ft 0.0000000 ∫t1t2Fdt 1.0000000 ∫Fdt 0.0000000 ∫t1t2dF 0.0000000 MCQ42 Let θ is the angle between two vectors a and b, then the length of their suma+b2 is given by a2+b2+2ab sinθ 0.0000000 a2+b2+2ab cosθ 1.0000000 a2-b2+ab cosθ 0.0000000 a+b+2ab cosθ 0.0000000 MCQ43 The divergence of the vectorrt=3xyz2i+2xy3j+x2yzk at the point (1,-1,1) is _______ 4 1.0000000 -4 0.0000000 3 0.0000000 5 0.0000000 MCQ44 What is the speed of a body whose position vector isrt=cos⁡t i+sin⁡t j+t k? sin⁡tj 0.0000000 2⁡j+2k( 0.0000000 2 1.0000000 2 ti+2⁡tj 0.0000000 MCQ45 The displacement vector △r=rt+△t-r(t) is used to represent change in speed 0.0000000 change in temperature 0.0000000 change in position 1.0000000 change in speed 0.0000000 MCQ46 A system of particles will be in stable equilibrium if the potential Vof the system is ________ a maximum 0.0000000 a minimum. 1.0000000 negative 0.0000000 a torque 0.0000000 MCQ47 The three basic notions for analyzing motion are position, velocity, and ________ acceleration 1.0000000 momentum 0.0000000 viscosity 0.0000000 motion 0.0000000 MCQ48 The rate of change of velocity with respect to time is called the ____________ acceleration 1.0000000 momentum 0.0000000 viscosity 0.0000000 motion 0.0000000 MCQ49 The speed v of a particle is defined to be the rate of change of distance along the path with respect to ______. speed 0.0000000 rate 0.0000000 motion 0.0000000 time 1.0000000 MCQ50 Which is the acceleration of a body whose position vector isrt=cos⁡t i+sin⁡t j+t k? sin⁡tj 0.0000000 -cos ti+sin⁡tj( 0.0000000 -cos ti-sin⁡tj 1.0000000 cos ti+sin⁡tj 0.0000000