1. The total linear moment um is (a) conserved (b) non-conserved (c) impose (d) non-impose

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1. The total linear moment um is
(a) conserved
(b) non-conserved (c) impose
(d) non-impose
2. The generalized moment um is
ƏL
(а) р; —
(b) р; — тӑ,
(c) Pj = mq;
ƏL
(d) р; —
3. For hyperbolic orbit the values of energy E and eccentricity ɛ are
(a) E = 0 and ɛ > 1(b) E > 0 and ɛ > 1(c) E > 0 and ɛ = 1(d) E > 0 and e = 0
4. The latitude of a place where the plane of vibration of a pendulum rotat es once a
day is
(а) 90°
(b) 60°
(c) 45°
(d) 30°
5. The Lagrange's equations of motion for a sy stem is equivalent to.
of motion.
.equat ions
(a) Newt on's
(b) Laplace
(c) Poisson
(d) Maxwell's
6. In a cycloe the wind whirls in the
sense in the nort hern hemisphere
(a) upwards
(b) downwards
(c) clockwise
(d) anticlockwise
7. The n-dimensional space is called
space
(a) solar
(b) configuration
(с) real
(d) zero
Mathematics
An alytical Mechanics (Math-363)
Page 2 of 2
8. Generalized coordinates
(a) Depends on each other
(b) Independent on each ot her
(c) necessarily spherical coordinat es
(d) May be Cart esian coordinat e
9. particle is constrained to move along the inner surface of a hemisphere number of
degrees of freedom of the particle
(a) 1
(b) 2
(c) 3
(d) 4
10. Constraints that can be expressed as equations of coordinates and time, i.e., by an
expression of the form
f (r1, r2, r3, · · · , t) = 0,
are said to be
(a) holonomic
(b) nonholonomic
(c) scleronomous
(d) Hieronymus
Transcribed Image Text:1. The total linear moment um is (a) conserved (b) non-conserved (c) impose (d) non-impose 2. The generalized moment um is ƏL (а) р; — (b) р; — тӑ, (c) Pj = mq; ƏL (d) р; — 3. For hyperbolic orbit the values of energy E and eccentricity ɛ are (a) E = 0 and ɛ > 1(b) E > 0 and ɛ > 1(c) E > 0 and ɛ = 1(d) E > 0 and e = 0 4. The latitude of a place where the plane of vibration of a pendulum rotat es once a day is (а) 90° (b) 60° (c) 45° (d) 30° 5. The Lagrange's equations of motion for a sy stem is equivalent to. of motion. .equat ions (a) Newt on's (b) Laplace (c) Poisson (d) Maxwell's 6. In a cycloe the wind whirls in the sense in the nort hern hemisphere (a) upwards (b) downwards (c) clockwise (d) anticlockwise 7. The n-dimensional space is called space (a) solar (b) configuration (с) real (d) zero Mathematics An alytical Mechanics (Math-363) Page 2 of 2 8. Generalized coordinates (a) Depends on each other (b) Independent on each ot her (c) necessarily spherical coordinat es (d) May be Cart esian coordinat e 9. particle is constrained to move along the inner surface of a hemisphere number of degrees of freedom of the particle (a) 1 (b) 2 (c) 3 (d) 4 10. Constraints that can be expressed as equations of coordinates and time, i.e., by an expression of the form f (r1, r2, r3, · · · , t) = 0, are said to be (a) holonomic (b) nonholonomic (c) scleronomous (d) Hieronymus
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