Applied Mechanics and Graphic Statics
Two circular discs of same weight and thickness are made from metals having different densities. Which disc will have the larger rotational inertia about its central axis?

Disc with larger density
Disc with smaller density
None of these
Both discs will have same rotational inertia

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

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Applied Mechanics and Graphic Statics
A body of weight ‘w’ placed on an inclined plane is acted upon by a force ‘P’ parallel to the plane which causes the body just to move up the plane. If the angle of inclination of the plane is ‘θ’ and angle of friction is ‘φ’, the minimum value of ‘P’, is

w cos (θ + φ)/cos φ
w sinθ cos(θ - φ)/sin φ
w sin (θ - φ)/cos φ
w sin (φ - θ)/cos φ

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