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Applied Mechanics and Graphic Statics

The potential energy of a particle falling through a straight shaft drilled through the earth (assumed homogenous and spherical) is proportional to____________________?

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
where r is the distance of’the particle from centre of the earth

The potential energy of a particle falling through a straight shaft drilled through the earth (assumed homogenous and spherical) is proportional to____________________? Read More »

Applied Mechanics and Graphic Statics

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___________________?

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(Correct)
B. a rectilinear motion with constant speed
C. a damped oscillatory motion
D. none of the above

 

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___________________? Read More »

Applied Mechanics and Graphic Statics

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 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(Correct)
C. 2E
D. 4E

 

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___________________? Read More »

Applied Mechanics and Graphic Statics

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_________________?

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

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_________________? Read More »

Applied Mechanics and Graphic Statics

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_________________?

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

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_________________? Read More »

Applied Mechanics and Graphic Statics

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 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

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___________________? Read More »

Applied Mechanics and Graphic Statics

If A is the amplitude of particle executing simple harmonic motion, then the total energy E of the particle is___________________?

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

If A is the amplitude of particle executing simple harmonic motion, then the total energy E of the particle is___________________? Read More »

Applied Mechanics and Graphic Statics

A stone is thrown up a slope of inclination 60° to the horizontal. At what angle to the slope must the stone be thrown so as to land as far as possible from the point of projection ?

A stone is thrown up a slope of inclination 60° to the horizontal. At what angle to the slope must the stone be thrown so as to land as far as possible from the point of projection ?

A. 15°
B. 30°
C. 45°
D. 75°

A stone is thrown up a slope of inclination 60° to the horizontal. At what angle to the slope must the stone be thrown so as to land as far as possible from the point of projection ? Read More »

Applied Mechanics and Graphic Statics