The document contains a multiple choice quiz on classical mechanics. It covers topics like Newton's laws of motion, types of reference frames,
... [Show More] conservation of momentum and energy, Lagrangian and Hamiltonian mechanics, degrees of freedom, and Euler-Lagrange equations. The quiz has 15 questions in each of 3 lectures, for a total of 45 questions testing fundamental concepts in classical mechanics.
BS Mathematics Semester 6
Dr. Raza Ahmad
CLASSICAL MECHANICS
MCQS
Multiple Choice Questions
Classical Mechanics BS Mathematics(2017-2021)
1 | P a g e
Lecture 1
1. Classical mechanics describes the motion of _______.
(a)Microscopic object (b)Macroscopic object
(c)None of the above (d)Both a and b
2. Abstract methods were developed leading to the reformulations of classical mechanics.
(a)Lagrangian Mechanics (b)Hamiltonian Mechanics
(c)Quantum Mechanics (d)Both a and b
3. The quantitative measure of inertia of a body is called ______.
(a)Weight (b)Mass
(c)Gravity force (d)None of these
4. The branch of physics which describes the conditions of rest or motion of material bodies around
us under action of force is _______.
(a)Mechanics (b)Mechatronics
(c)Quantum field (d)None of these
5. The mass that determines the acceleration of a body under the action of a given force is called __.
(a)First mass (b)Inertial mass
(c)Reference mass (d)None of these
6. A particle is an object which has ______.
(a)Mass (b)Size
(c)Both a and b (d)None of these
7. Newton’s 1st law of motion is applicable for ______.
(a)Free particles (b)Moving particles
(c)Rest particles (d)None of these
8. Identify the correct number of types of reference frames.
(a)3 (b)4
(c)5 (d)None of these
9. In curved space-time interval, all frames are _____.
(a)Inertial (b)Non-inertial
(c)Both a and b (d)None of these
10. Acceleration of an object depends on its ______.
(a)Mass (b)Net force
Multiple Choice Questions
Classical Mechanics BS Mathematics(2017-2021)
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(c)Volume (d)None of these
11. Ratio of masses of two objects is equal to the negativity of _______.
(a)Positive ratio of accelerations (b)Inverse ratio of accelerations
(c)None of these (d)Both a and b
12. Linear momentum is conserved if ______ acting on a body is zero.
(a)Net internal force (b)Internal force
(c)Net external force (d)External force
13. Angular momentum is conserved if net torque acting on a body is _____.
(a)Maximum (b)Zero
(c)Uniform (d)None of these
14. Work energy principle can be written as ______.
(a)Wab=∆T (b)Wa=T
(c)Wab=T (d)Wt=∆T
15. The law of conservation of total energy states that
(a)Ta + Va = Tb + Vb (b)Ta + Vb = Ta + Vb
(c)Ta + Vb= Tb + Va (d)None of these
Lecture 2
1. The conditions which restrict the motion of the system are called _____.
(a)Constraints (b)Degree of freedom
(c)Generalized coordinates (d)None
2. The number of independent ways in which a mechanical system can move without
violating any constraint is called _____.
(a)Constraint (b)Number of freedoms
(c)Degrees of freedom (d)Generalized coordinates
3. A thing moving in space has ___ degrees of freedom.
(a)1 (b)2
(c)3 (d)4
4. Work done by external force in N-particle system is known as ____.
(a)Work (b)Total work
(c)Virtual work (d)None of these
5. Total virtual work done on N-particle system is _____.
Multiple Choice Questions
Classical Mechanics BS Mathematics(2017-2021)
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(a)Zero (b)Maximum
(c)Minimum (d)None
6. Virtual work is represented as ______.
(a)δW = ∑Fe
i δri=0 (b)δW = ∑Fe
w δri=0
(c)W = ∑Fe
I ri=0 (d)δW = ∑Fe
I δri
7. D ‘Alembert’s Principle can be written as
(a)∑N
i=0 (Fl-pi). δri=0 (b)∑
N
i=1 (Fl-pi). δri=0
(c)∑
N
i=1 (Fl-p). δri=0 (d)∑
N
i=1 (Fl-p). δr=0
8. In Lagrange’s Equation if there are N number of particles and so the generalized coordinated are
(a)n=N-k (b)n=3N-k
(c)n=3N (d)n=3n-k
9. In Lagrange’s Equation Virtual Displacement does not involve
(a)Space (b)Time
(c)N number of particles (d)None
10. Lagrangian function equation is known as
(a) 𝒅
𝒅𝒕 [
𝝏𝑳
𝝏𝒒𝒋
] −
𝝏𝑳
𝝏𝒒𝒋 = 𝟎 ,𝒋 = 𝟏, 𝟐, 𝟑 …. (b)
𝑑
𝑑𝑡 [
𝜕𝐿
𝜕𝑞𝑗
] −
𝜕𝐿
𝜕𝑞𝑗 ,𝑗 = 1,2,3 ….
(c) 𝑑
𝑑𝑡 [
𝜕𝐿
𝜕𝑞𝑗
] = 0 ,𝑗 = 1,2,3 …. (d) 𝑑
𝑑𝑡 [
𝜕𝐿
𝜕𝑞𝑗
] −
𝜕𝐿
𝜕𝑞𝑗 = 0 ,
11. Kinetic energy of a particle of mass m is a ___________ of the velocities
(a)Quadratic function (b)Homogeneous quadratic function
(c)Both a and b (d)None
12. The special case of kinetic energy of particle_______ does not appears in transformation
equation
(a)Space (b)Time
(c)Both a and b (d)None
13. The special case of Euler’s Theorem is written as
(a)∑𝒌 𝐲𝐤
𝝏𝒇
𝝏𝐲𝐤
= 𝒏𝒇 (b)∑𝑘 y
𝜕𝑓
𝜕yk
= 𝑛𝑓
(c)∑𝑘𝑖 yk
𝜕𝑓
𝜕yk
= 𝑛𝑓𝑖 (d)∑𝑘 yk
𝜕𝑓
𝜕yk
= 𝑛𝑓𝑖
14. The momentum of the moving particle in the x-axis is
(a)P=1/2 mx (b)P= mx’
(c)P=mx (d)None [Show Less]