Applied Mechanics and Graphic Statics

271. The piston of a steam engine moves with a simple harmonic motion. The crank rotates 120 r.p.m. and the stroke length is 2 metres. The linear velocity of the piston when it is at a distance of 0.5 metre from the centre, is

1. 5.88 m/sec
2. 8.88 m/sec
3. 10.88 m/sec
4. 12.88 m/sec

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272. The point about which combined motion of rotation and translation of a rigid body takes place, is known as

1. Virtual centre
2. Instantaneous centre
3. Instantaneous axis
4. Point of rotation

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273. The pole distance is measured in

1. Distance scale
2. Force scale
3. Mass scale
4. Time scale

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

1. log r
2. r
3. r²
4. 1/r

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275. The practical units of work, is

1. Erg
2. Joule
3. Newton
4. Dyne

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276. The product of mass and velocity of a moving a body, is called

1. Moment
2. Momentum
3. Power
4. Impulse

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277. The rate of change of displacement of a body with respect to its surrounding, is known

1. Velocity
2. Acceleration
3. Speed
4. None of these

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278. The ratio of kinetic energy and potential energy of a simple harmonic oscillator, at a displacement equal to half its amplitude is given by

1. 1.2
2. 1.1
3. 2.1
4. 3.1

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279. The ratio of the moment of inertia of a rectangle about its centroidal axis to the moment of inertia about its base, is

1. 43556
2. 43497
3. 43558
4. 2

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280. The ratio of the ranges on the inclined plane with motion upward and with motion downward for a given velocity, angle of projection will be

1. sin (α + β)/sin (α - β)
2. sin (α + β)/sin (α - β)
3. sin (α + β)/cos (α + β)
4. sin (α + β)/tan (α + β)

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