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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

30 m
Zero
60 m
50 m

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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.)

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

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Applied Mechanics and Graphic Statics
A stone is thrown vertically upwards with a vertical velocity of 49 m/sec. It returns to the ground in

20 sec
5 sec
8 sec
10 sec

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Applied Mechanics and Graphic Statics
If the radius of the earth is 600 km the height of a mountain above sea level at the top of which a beat seconds pendulum at sea level, looses 27 seconds a day, is

2000 meters
500 meters
1500 meters
1000 meters

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Applied Mechanics and Graphic Statics
A Second's pendulum gains 2 minutes a day. To make it to keep correct time its length

Must be increased
Is not changed but weight of the bob is decreased
Must be decreased
Is not changed but weight of the bob is increased

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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
50 and 75
50 and 50
75 and 75

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