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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
A particle is executing simple harmonic motion in a line 1.0 m long. If the time of one complete vibration is 1 sec, then the maximum velocity of the particle is

1.57 m/sec
1.00 m/sec
6.28 m/sec
3.14 m/sec

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Applied Mechanics and Graphic Statics
From the circular plate of a diameter 6 cm is cut out a circular plate whose diameter is equal to radius of the plate. The C.G. of the remainder shifts from the original position through

0.75 cm
0.25 cm
1.00 cm
0.50 cm

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Applied Mechanics and Graphic Statics
A cable loaded with 10 kN/m of span is stretched between supports in the same horizontal line 100 m apart. If the central dip is 10 m, then the maximum and minimum pull in the cable respectively are

1436.2 kN and 1500 kN
1346.3 kN and 1500 kN
1346.3 kN and 1250 kN
1436.2 kN and 1250 kN

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Applied Mechanics and Graphic Statics
The velocity of a body fallen from height ‘h’, on reaching the ground is given by

v = 2gh
v = 2gh²
v = 1/√(2gh)
v = √(2gh)

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Applied Mechanics and Graphic Statics
The torque produced by a force depends on i. the magnitude of the force ii. the direction of the force iii. the point of application of the force relative to origin The correct answer is

all (i), (ii) and (iii)
both (i) and (iii)
both (i) and (ii)
only (i)

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Applied Mechanics and Graphic Statics
A shell of mass 100 kg travelling with a velocity of 10 m/sec breaks into two equal pieces during an explosion which provides an extra kinetic energy of 20000 Joules. If the pieces continue to move in the same direction as before, then the speed of the faster one must be

40 m/sec
50 m/sec
30 m/sec
20 m/sec

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