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

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

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Applied Mechanics and Graphic Statics
Pick up the correct statement from the following. A rubber ball when strikes a wall rebounds but a lead ball of same mass and velocity when strikes the same wall, falls down

Rubber and lead balls undergo equal changes in momentum
None of these
Momentum of rubber ball is less than that of lead ball
Change in momentum suffered by lead ball is less that of rubber ball

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Applied Mechanics and Graphic Statics
Pick up the incorrect statement from the following. In a simple harmonic motion

Acceleration is zero at the mean position
Velocity is minimum at the end of the stroke
Velocity is maximum at its mean position
Acceleration is minimum at the end of the stroke

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Applied Mechanics and Graphic Statics
The resolved part of the resultant of two forces inclined at an angle θ in a given direction is

Difference of the forces multiplied by cosine θ°
Algebraic sum of the resolved parts of the forces in the direction
Sum of the forces multiplied by the tangent θ°
Arithmetical sum of the resolved parts of the forces in the direction

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Applied Mechanics and Graphic Statics
A sphere and a cylinder having the same mass and radii start from rest and roll down the same inclined plane. Which body gets to the bottom first?

Both reach the bottom simultaneously with equal rotational energy at bottom
Sphere with greater rotational energy at bottom than cylinder
Cylinder with greater rotational energy at bottom than sphere
Sphere with lesser rotational energy at bottom than cylinder

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