Applied Mechanics and Graphic Statics
The displacement of a particle which moves along a straight line is given by S = 4t³ + 3t²- 10 where ‘S’ is in meters and t is in seconds. The time taken by the particle to acquire a velocity of 18 m/sec from rest, is

1.2 sec
1 sec
½ sec
1.5 sec

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

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

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Applied Mechanics and Graphic Statics
Varingon’s theorem of moment’s states

Algebraic sum of the moments of two forces about any point, is equal to the moment of their resultant about that point
Arithmetical sum of the moments of two forces about any point, is equal to the moments of their resultant about that point
Algebraic sum of the moments of the forces about any point in their plane, is equal to the moment of their resultant about that point
Arithmetical sum of the moments of the forces about any point in their plane, is equal to the moment of their resultant about that point

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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?

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

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