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Theory of Machine

Theory of Machine
The equation of free vibrations of a system is (d²x/dt²) +36 π²x, its natural frequency is

6π Hz
3 Hz
6 Hz
3π Hz

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Theory of Machine
If the number of links in a mechanism is equal to l, then the numbers of possible inversions are equal to

l - 2
l - 1
l
l + 1

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Theory of Machine
The periodic time is given by (where ω = Angular velocity of the particle in rad/s)

2π/ω
ω × 2π
π/ω
ω/2π

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Theory of Machine
The velocity of sliding of meshing gear teeth is (Where ω₁ and ω₂ are angular velocities of meshing gears and ‘y’ is distance between point of contact and the pitch point)

(ω₁ × ω₂) y
(ω₁ + ω₂)/y
(ω₁/ω₂) y
(ω₁ + ω₂) y

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Theory of Machine
Which of the below are inversions of slider crank mechanism? 1. Oscillating cylinder engine mechanism 2. Toggle mechanism 3. Radial cylinder engine mechanism 4. Quick return mechanism

2, 3 and 4
1, 2 and 4
1, 2 and 3
1, 3 and 4

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Theory of Machine
When two pulleys of different diameters are connected by means of an open belt, the angle of contact at the ________ pulley must be taken into consideration.

Smaller OR Larger
Smaller
None of the listed here
Larger

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