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Theory of Machine

Theory of Machine
When a body moves with simple harmonic motion, the product of its periodic time and frequency is equal to

π
π/2
Zero
One

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Theory of Machine
A shaft has an attached disc at the centre of its length. The disc has its centre of gravity located at a distance of 2 mm from the axis of the shaft. When the shaft is allowed to vibrate in its natural bow-shaped mode, it has a frequency of vibration of 10 rad/s. When the shaft is rotated at 300 r.p.m., it will whirl with a radius of

2.50 mm
2.22 mm
3.0 mm
2 mm

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Theory of Machine
The engine of an aeroplane rotates in clockwise direction when seen from the tail end and the aeroplane takes a turn to the left. The effect of gyroscopic couple on the aeroplane will be

To dip the nose and raise the tail
To dip the nose and tail
To raise the nose and tail
To raise the nose and dip the tail

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Theory of Machine
To obviate axial thrust, following gear drive is used

Mutter gears
Double helical gears having identical teeth
Single helical gear in which one of the teeth of helix angle a is more
Double helical gears having opposite teeth

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Theory of Machine
When a slider moves on a fixed link having curved surface, their instantaneous centre lies

At the pin joint
At the centre of circle
At the centre of curvature
On their point of contact

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Theory of Machine
The velocity of a particle moving with simple harmonic motion, at any instant is given by (where ω = Displacement of the particle from mean position)

ω² √(x² - r²)
ω² √(r² - x²)
ω √(r² - x²)
ω √(x² - r²)

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