Applied Mechanics and Graphic Statics
Two objects moving with uniform speeds are 5 m apart after 1 second when they move towards each other and are 1 m apart when they move in the same direction.The speeds of the objects are:

4 m/sec and 6 m/sec
3 m/sec and 2 m/sec
2 m/sec and 2 m/sec
3 m/sec and 3 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

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

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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

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
Difference of the forces multiplied by cosine θ°

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Applied Mechanics and Graphic Statics
‘ω’ rad/sec is the angular velocity of a crank whose radius is ‘r’. If it makes θ° with inner dead centre and obliquity of the connecting rod ‘l’ is ‘ϕ’, the velocity v of the piston, is given by the equation

ω² (l cos ϕ + r sin ϕ tan θ)
ω² (l sin ϕ + r cos φ tan θ)
ω (l sin ϕ + r cos ϕ tan θ)
ω² (l sin ϕ - r cos θ tan ϕ)

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