Applied Mechanics and Graphic Statics
The piston of a steam engine moves with a simple harmonic motion. The crank rotates 120 r.p.m. and the stroke length is 2 meters. The linear velocity of the piston when it is at a distance of 0.5 metre from the centre, is

12.88 m/sec
8.88 m/sec
10.88 m/sec
5.88 m/sec

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Applied Mechanics and Graphic Statics
One end of an elastic string of natural length ‘l’ and modulus ‘X’ is kept fixed while to the other end is attached a particle of mass m which is hanging freely under gravity. The particle is pulled down vertically through a distance ‘x’, held at rest and then released.The motion is

None of these
A damped oscillatory motion
A simple harmonic motion
A rectilinear motion with constant speed

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Applied Mechanics and Graphic Statics
Lami's theorem states that

Three forces acting at a point are always in equilibrium
If three forces acting on a point can be represented in magnitude and direction by the sides of a triangle, the point will be in the state of equilibrium
Three coplanar forces acting at a point will be in equilibrium if each force is inversely proportional to the sine of the angle between the other two
Three coplanar forces acting at a point will be in equilibrium, if each force is proportional to the sine of the angle between the other two

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