Applied Mechanics and Graphic Statics

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 √10 m/sec

3 √5 m/sec

10 √5 m/sec

5 √3 m/sec

5 √10 m/sec

3 √5 m/sec

10 √5 m/sec

5 √3 m/sec

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Applied Mechanics and Graphic Statics
A ladder of weight 'w' rests against a smooth vertical wall, and rests on rough horizontal ground, the coefficient of friction between the ladder and the ground being 1/4. The maximum angle of inclination of the ladder to the vertical, if a man of weight 'w' is to walk to the top of it safely, is tan'1 x, where x is

1/3

4

1/4

3

1/3

4

1/4

3

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Applied Mechanics and Graphic Statics
In case of S.H.M. the period of oscillation (T), is given by

T = 2ω/π²

T = 2/ω

T = π/2ω

T = 2π/ω

T = 2ω/π²

T = 2/ω

T = π/2ω

T = 2π/ω

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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

30 m/sec

40 m/sec

50 m/sec

20 m/sec

30 m/sec

40 m/sec

50 m/sec

20 m/sec

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Applied Mechanics and Graphic Statics
A 2 m long ladder rests against a wall and makes an angle of 30° with the horizontal floor. Where will be the instantaneous center of rotation when the ladder starts slipping ?i. 1.0 in from the wallii. 1.732 m from the walliii. 1.0 m above the flooriv. 1.732 m above the floorThe correct answer is

(i) and (iv)

(ii) and (iv)

(ii) and (iii)

(i) and (iii)

(i) and (iv)

(ii) and (iv)

(ii) and (iii)

(i) and (iii)

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Applied Mechanics and Graphic Statics
The C.G. of a thin hollow cone of height ‘h’, above its base lies on the axis, at a height of

3h/4

h/4

h/3

2h/3

3h/4

h/4

h/3

2h/3

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