applied mechanics and graphic statics Mcqs
101. A quantity measured in the C.G.S system of units has dimensions M2L3 T3/2. What numerical factor would be required to convert the quantity to SI units ?
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A. 100

B. 1/100

C. 1

D. 1/10000

102. The potential energy of a particle falling through a straight shaft drilled through the earth (assumed homogenous and spherical) is proportional to____________________?
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A. 1/r

B. r

C. log r

D. r2
103. 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_________________?
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A. A/2

B. A/V2

C. AV2

D. A

104. 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___________________?
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A. 4.5 J

B. 18.0 J

C. 12.0 J

D. 9.0 J
105. 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___________________?
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A. E/2

B. E

C. 2E

D. 4E

106. A projectile has maximum range of 40 m on a horizontal plane. If angle of projection is a and the time of flight is 1 second, then sin a must be about__________________?
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A. 3-Jan

B. 1/4

C. 5-Jan

D. 2-Jan

107. A flywheel of moment of inertia 20 kg-m is acted upon by a tangential force of 5 N at 2 m from its axis, for 3 seconds. The increase in angular velocity in radian persecond is__________________?
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A. 2-Jan

B. 3

C. 3/2

D. 2

108. The angular speed of a car while taking a circular turn of radius 100m at 36 km/hour, is_______________?
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A. 1 radian/sec

B. 1000 radian/sec

C. 0.1 radian/sec

D. 100 radian/sec

109. When two forces, each equal to P, act at 90 to each other, then the resultant will be_____________?
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A. P/V2

B. PV2

C. 2P

D. P

110. A rod AB carries three loads of 30 N, 70 N and 100 N at distances of 20 mm, 90 mm and 150 mm respectively from A. Neglecting the weight of the rod, the point at which the rod will balance is_______________?
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A. 119.5 mm from A

B. 109.5 mm from A

C. 132.5 mm from A

D. 125.5 mm from A

111. If A is the amplitude of particle executing simple harmonic motion, then the total energy E of the particle is___________________?
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A. proportional to A2

B. independent of A

C. proportional to A

D. proportional to 1/A2

112. The dimensions of Gravitational Universal constant G are______________?
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A. ML3T2

B. M-L2r2

C. M-L3r2

D. M-2L3T2

113. Minimum potential energy of a system will be in the position of________________?
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A. stable equilibrium

B. unstable equilibrium

C. neutral equilibrium

D. all of the above

114. The ratio of the speed of a rolling cylinder to the speed of sliding cylinder is_______________?
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A. less than 1

B. equal to 1

C. between 1 and 2

D. greater than 2

115. A hoop of radius 3 m weighs 100 kg. It rolls along a horizontal floor so that at its centre of mass has a speed of 200 mm/sec, . The work required to stop the hoop is______________?
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A. 6 J

B. 2 J

C. 4 J

D. 8 J

116. 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___________________?
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A. none of the above

B. a simple harmonic motion

C. a rectilinear motion with constant speed

D. a damped oscillatory motion

117. Rate of change of angular momentum is equal to_______________?
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A. torque

B. force

C. linear momentum

D. impulse

118. A block in the shape of a parallelopiped of sides lm x 2m x 3m lies on the surface. Which of the faces gives maximum stable block ?
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A. equally stable on all faces

B. 1 m x 3m

C. 1 m x 2 m

D. 2 m x 3 m
119. 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_________________?
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A. 1/f2

B. 1/f

C. f

D. f2