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1) Minimum pull in a suspended cable with supports at two ends is equal to____________________? a. horizontal thrust b. support reactions c. resultant of horizontal thrust and support reaction d. half the weight of the cable
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2) Cartesian form of the equation of catenary is_________________? a. y = c cosh x/c b. y = c sinh x/c c. y = c tan x/c d. y = c sin”1 x/c
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3) 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
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4) A rope is wrapped twice around a rough pole with a coefficient of friction ‘A . It is subjected to a force Fj at one end and a gradually increasing force F2 is applied at the other end till the rope just starts slip-ping. At this instant the ratio of F2 to Fi is_____________________? a. 1 b. e2* c. e4* d. e*72
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5) 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
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6) One Newton is equivalent to________________? a. 1 kg-wt b. 9.81 kg-wt c. 981 dyne d. 1/9.81 kg-wt
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7) The dimensions of power are_______________? a. M’L2T2 b. M’L’T3 c. M’L’r2 d. M’L-‘T*
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8) The ratio of unit of force in gravitational system to that in absolute system is__________________? a. 1 b. g c. 1/g d. none of the above
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9) A quantity measured in the C.G.S system of units has dimensions M”2L3 T3/2. What numerical factor would be required to convert the quantity to SI units ? a. 1 b. 100 c. 1/100 d. 1/10000
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10) The dimensions of Gravitational Universal constant ‘G’ are______________? a. M-‘L2r2 b. M-‘L3r2 c. M-2L3T2 d. M’L3T2
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11) One Newton is equivalent to_________________? a. 105 dyne b. 106 dyne c. 107 dyne d. 981 dyne
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12) The potential energy of a particle falling through a straight shaft drilled through the earth (assumed homogenous and spherical) is proportional to____________________? a. log r b. r c. r2 d. 1/r
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13) At the instantaneous center, the velocity of the moving lamina at any instant is_________________? a. zero b. maximum c. minimum d. varying
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14) Which of the following represents the state of neutral equilibrium ? a. a cube resting on one edge b. a smooth cylinder lying on a curved surface c. a smooth cylinder lying on a convex surface d. none of the above
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15) One end of an elastic string of natural length / and modulus X is kept fixed while to the other end is attached a particle of mass m which is hanging freely under gravity. The particle is pulled down vertically through a distance x, held at rest and then released. The motion is___________________? a. a simple harmonic motion b. a rectilinear motion with constant speed c. a damped oscillatory motion d. none of the above
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16) A simple pendulum of length / has an energy E, when its amplitude is A. If the length of pendulum is doubled, the energy will be___________________? a. E b. E/2 c. 2E d. 4E
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17) 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
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18) It is observed that in a certain sinusoidal oscillation, the amplitude is linearly dependent on the frequency f. If the maximum velocity during the oscillation is V, then V must be proportional to_________________? a. f b. 1/f c. 1/f2 d. f2
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19) 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
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20) 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
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