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Machines and Graphics Quiz | Machines and Graphics Objective Type Questions and Answers

(21) A disc of mass 4 kg, radius 0.5m and moment of inertia 3 kg-m2 rolls on a horizontal surface so that its center moves with speed 5 m/see. Kinetic energy of the disc is
[A] 50 J
[B] 150 J
[C] 200 J
[D] 400 J
Answer: 200 J
(22) When a circular wheel rolls on a straight track, then the shape of body centrode and space centrode respectively are
[A] straight line and parabola
[B] straight line and circle
[C] circle and straight line
[D] circle and parabola
Answer: circle and straight line

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(23) At the instantaneous center, the velocity of the moving lamina at any instant is
[A] Zero
[B] Maximum
[C] Minimum
[D] Varying
Answer: 464 J
(24) For a given velocity of a projectile, the range is maximum when the angle of projection is
[A] 30°
[B] 45°
[C] 90°
[D] 0°
Answer: 45°
(25) A stone is thrown vertically upwards with a vertical velocity of 49 m/sec. It returns to the ground in
[A] 5 sec
[B] 8 sec
[C] 10 sec
[D] 20 sec
Answer: 10 sec
(26) If a projectile is fired with an initial velocity of 10 m/sec at an angle of 60° to the horizontal, its horizontal and vertical velocity at the highest point of trajectory are
[A] 0 and 5 m/sec
[B] 5 m/sec and 0
[C] 5 V3 m/sec and 0
[D] 5 and 5V3 m/sec
Answer: 5 m/sec and 0
(27) In a simple harmonic motion, the position of equilibrium is always
[A] Stable
[B] Unstable
[C] Neutral
[D] None Of The Above
Answer: Stable
(28) If A is the amplitude of particle executing simple harmonic motion, then the total energy E of the particle is
[A] proportional to A
[B] proportional to A2
[C] proportional to 1/A2
[D] independent of A
Answer: proportional to A2
(29) A particle of mass 2 kg executes simple harmonic motion of frequency 6/71 Hz and amplitude 0.25 m. Its maximum kinetic energy is
[A] 4.5 J
[B] 9.0 J
[C] 12.0 J
[D] 18.0 J
Answer: 9.0 J
(30) If the kinetic energy and potential energy of a simple harmonic oscillator of amplitude A are both equal to half the total energy, then the displacement is equal to
[A] A
[B] A/2
[C] A/V2
[D] AV2
Answer: A/V2
31 Time period and length of a seconds pendulum respectively are
[A] 1 sec and 99.4 cm
[B] 1 sec and 92.7 cm
[C] 2 sec and 99.4 cm
[D] 2 sec and 92.7 cm
Answer: 2 sec and 99.4 cm
32 A particle is executing simple harmonic motion in a line 1.0 m long. If the time of one complete vibration is 1 sec, then the maximum velocity of the particle is
[A] 1.00 m/sec
[B] 1.57 m/sec
[C] 3.14 m/sec
[D] 6.28 m/sec
Answer: 3.14 m/sec
33 One Newton is equivalent to
[A] 105 dyne
[B] 106 dyne
[C] 107 dyne
[D] 981 dyne
Answer: 105 dyne
34 The dimensions of Gravitational Universal constant 'G' are
[A] M-'L2r2
[B] M-'L3r2
[C] M-2L3T2
[D] M'L3T2
Answer: M-'L3r2
35 One Joule is equivalent to
[A] 9.81 Newton - metre
[B] 1 Newton - metre
[C] 1 kg wt - metre
[D] 1 dyne - metre
Answer: 1 Newton - metre
36 The unit of rotational inertia of a body in C.G.S system is
[A] cm4
[B] kg-cm2
[C] gm-cm2
[D] gm-cm3
Answer: gm-cm2
37 Impulse can be obtained from a
[A] force-displacement diagram
[B] force-time diagram
[C] velocity-time diagram
[D] velocity-displacement diagram
Answer: force-time diagram
38 A heavy ladder resting on floor and against a vertical wall may not be in equilibrium if
[A] floor is smooth and wall is rough
[B] floor is rough and wall is rough
[C] both floor and wall are rough
[D] both floor and wall are smooth
Answer: both floor and wall are smooth
39 Intrinisic equation of catenary is given by
[A] S = C tan q>
[B] S = C cos cp
[C] S = C sin cp
[D] S = C cot
Answer: S = C tan q>
40 Cartesian form of the equation of catenary is
[A] y = c cosh x/c
[B] y = c tan x/c
[C] y = c sin"1 x/c
[D] All above
Answer: y = c sinh x/c

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