Applied Mechanics and Graphic Statics
When a circular wheel rolls on a straight track, then the shape of body centrode and space centrode respectively are

Circle and straight line
Circle and parabola
Straight line and parabola
Straight line and circle

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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 cos ϕ + r sin 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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Applied Mechanics and Graphic Statics
One end of an elastic string of natural length / 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 simple harmonic motion
a damped oscillatory motion
a rectilinear motion with constant speed

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Applied Mechanics and Graphic Statics
A square hole is punched out of a circular lamina, the diagonal of the square being the radius of the circle. If ‘r’ is the radius of the circle, the C.G. of the remainder from the corner of the square on the circumference will be

[r (π + 0.25)]/(π - 0.5)
[r (π - 0.5)]/(π + 0.25)
[r (π - 0.25)]/(π - 0.5)
[r (π + 0.25)]/(π + 0.5)

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