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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
A hoop of radius 3 m weighs 100 kg. It rolls along a horizontal floor so that at its centre of mass has a speed of 200 mm/sec. The work required to stop the hoop is

6 J
8 J
2 J
4 J

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Applied Mechanics and Graphic Statics
If two bodies of masses M1 and M2(M1 > M2) are connected by alight inextensible string passing over a smooth pulley, the tension in the string, will be given by

T = g(M2 - M1)/(M1 + M2)
T = g(M2 + M1)/(M2 - M1)
T = g(M1 - M2)/(M1 + M2)
T = g(M1 + M2)/(M1 × M2)

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Applied Mechanics and Graphic Statics
The centre of gravity of a trapezoidal dam section whose top width is a, bottom width is band the vertical side is a, from its vertical face is

None of these
(a² + ab + b²)/3 (a + b)
(a² + ab + c²)/3 (a + c)
(b² + bc + c²)/3 (b + c)

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Applied Mechanics and Graphic Statics
A train weighing 196 tonnes experiences a frictional resistance of 5(11/22) per tonne. The speed of the train at the top of a down gradient 1 in 78.4 is 36 km/hour. The speed of the train after running 1 km down the slope, is

5 √3 m/sec
5 √10 m/sec
3 √5 m/sec
10 √5 m/sec

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Applied Mechanics and Graphic Statics
A stone is whirled in a vertical circle, the tension in the string, is maximum

When the string is horizontal
When the stone is at the lowest position
At all the positions
When the stone is at the highest position

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Applied Mechanics and Graphic Statics
A heavy ladder resting on a floor and against a vertical wall may not be in equilibrium, if

Floor and wall both are rough surfaces
Floor and wall both are smooth surfaces
Floor is smooth and the wall is rough
Floor is rough and the wall is smooth

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