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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
For a body moving with simple harmonic motion, the number of cycles per second, is known as its

Periodic time
Amplitude
Frequency
Oscillation

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Applied Mechanics and Graphic Statics
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 (Assume g = 10 m/sec²)

43834
43833
43832
43835

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Applied Mechanics and Graphic Statics
A 2 m long ladder rests against a wall and makes an angle of 30° with the horizontal floor. Where will be the instantaneous center of rotation when the ladder starts slipping ?i. 1.0 in from the wallii. 1.732 m from the walliii. 1.0 m above the flooriv. 1.732 m above the floorThe correct answer is

(i) and (iv)
(ii) and (iii)
(ii) and (iv)
(i) and (iii)

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

log r
r
1/r
r2

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Applied Mechanics and Graphic Statics
A ball moving on a smooth horizontal table hits a rough vertical wall, the coefficient of restitution between ball and wall being 1/3. The ball rebounds at the same angle. The fraction of its kinetic energy lost is

43864
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43839
44052

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Applied Mechanics and Graphic Statics
Centre of gravity of a thin hollow cone lies on the axis of symmetry at a height of

None of these
One-half of the total height above base
One-fourth of the total height above base
One-third of the total height above base

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