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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
The equation of motion of a particle starting from rest along a straight line is x = t³ - 3t²+ 5. The ratio of the accelerations after 5 sec and 3 sec will be

3
2
4
5

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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

bh³/2
b³h/12
bh³/36
bh³/3

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Applied Mechanics and Graphic Statics
One end of a light string 4 m in length is fixed to a point on a smooth wall and the other end fastened to a point on the surface of a smooth sphere of diameter 2.25 m and of weight 100 kg. The tension in the string is

25 kg
17.5 kg
19.5 kg
22.5 kg

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Applied Mechanics and Graphic Statics
A solid cylinder of mass M and radius R rolls down an inclined plane without slipping. The acceleration of center of mass of rolling cylinder is (where ‘g’ is acceleration due to gravity and 0 is inclination of plane with horizontal.)

g sin 9
(2/3) g cos 9
(1/3) g sinB
(2/3) g sin 0

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Applied Mechanics and Graphic Statics
A stone was thrown vertically upwards from the ground with a velocity of 50 m/sec. After 5 seconds another stone was thrown vertically upwards from the same place. If both the stones strike the ground at the same time, then the velocity with which the second stone was thrown should be (Assume g = 10 m/sec²)

25 m/sec
15 m/sec
40 m/sec
50 m/sec

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Applied Mechanics and Graphic Statics
The motion of a bicycle wheel is

Translatory
Rotary
Curvilinear
Rotary and translatory

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