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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
The motion of a particle is described by the relation x = t²- 10t + 30, where x is in meters and t in seconds. The total distance travelled by the particle from t = 0 to t = 10 seconds would be

60 m
50 m
Zero
30 m

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Applied Mechanics and Graphic Statics
In a lifting machine a weight of 5 kN is lifted through 200 mm by an effort of 0.1 kN moving through 15 m. The mechanical advantage and velocity ratio of the machine are respectively

75 and 50
75 and 75
50 and 75
50 and 50

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Applied Mechanics and Graphic Statics
A shell travelling with a horizontal velocity of 100 m/sec explodes and splits into two parts, one of mass 10 kg and the other of 15 kg. The 15 kg mass drops vertically downward with initial velocity of 100 m/sec and the 10 kg mass begins to travel at an angle to the horizontal of tan”1 x, where x is

43894
43895
43954
43926

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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

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

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

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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

22.5 kg
17.5 kg
19.5 kg
25 kg

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