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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
The moment of inertia of a triangular section (base b, height h) about centroidal axis parallel to the base, is

bh³/3
bh³/36
b³h/12
bh³/2

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Applied Mechanics and Graphic Statics
The time period of a simple pendulum depends on (i) Mass of suspended particle (ii) Length of the pendulum (iii) Acceleration due to gravity

All are correct
Only (i)
Both (i) and (iii)
Both (ii) and (iii)

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Applied Mechanics and Graphic Statics
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 meters. The linear velocity of the piston when it is at a distance of 0.5 metre from the centre, is

8.88 m/sec
5.88 m/sec
12.88 m/sec
10.88 m/sec

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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 wall ii. 1.732 m from the wall iii. 1.0 m above the floor iv. 1.732 m above the floor The correct answer is

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

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Applied Mechanics and Graphic Statics
The Centre of gravity of a 10 × 15 × 5 cm T section from its bottom, is

8.75 cm
5.0 cm
7.85 cm
7.5 cm

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Applied Mechanics and Graphic Statics
For a self-locking machine, the efficiency should be

Less than 60%
More than 50%
None of these
0.5

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