## Applied Mechanics and Graphic Statics The ratio of the ranges on the inclined plane with motion upward and with motion downward for a given velocity, angle of projection will be

sin (α + β)/sin (α - β)
tan (α - β)/tan (α + β)
cos (α - β)/cos (α + β)
sin (α - β)/sin (α + β)

## Applied Mechanics and Graphic Statics Lami's theorem states that

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
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 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

Inertia
Weight
Momentum
Mass

Momentum
Moment
Impulse
Power

## 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

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

## Applied Mechanics and Graphic Statics A projectile is thrown at an angle ‘α’ to the horizontal with velocity ‘v’. It will have the maximum centripetal acceleration

Elsewhere
As it strikes the ground
At the start
At the top of the trajectory