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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
The time period of a simple pendulum depends on (i) Mass of suspended particle (ii) Length of the pendulum (iii) Acceleration due to gravity

Both (i) and (iii)
Only (i)
Both (ii) and (iii)
All are correct

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Applied Mechanics and Graphic Statics
A cylinder will slip on an inclined plane of inclination 0 if the coefficient of static friction between plane and cylinder is

less than (2/3) tan 0
less than (1/3) sin 6
less than (1/3) tan 0
less than (2/3) sin 6

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Applied Mechanics and Graphic Statics
A weight of 100 kg is supported by a string whose ends are attached to pegs ‘A’ and ‘B’ at the same level shown in below figure. The tension in the string is

100 kg
50 kg
750 kg
120 kg

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Applied Mechanics and Graphic Statics
The instantaneous centre of a member lies at the point of intersection of two lines drawn at the ends of the member such that the lines are inclined to the direction of motion of the ends at

30°
90°
45°
60°

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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
(b² + bc + c²)/3 (b + c)
(a² + ab + c²)/3 (a + c)
(a² + ab + b²)/3 (a + b)

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Applied Mechanics and Graphic Statics
If the resultant of two forces ‘P’ and ‘Q’ acting at an angle ‘θ’ makes an angle ‘α’ with ‘P’, then tan α equals

Q sin θ/P + Q sin θ
P sin θ/P - Q cos θ
P sin θ/P + Q tan θ
Q sin θ/P + Q cos θ

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