Theory of Machine
The frequency of oscillation of a torsional pendulum is

2πr/k. √(g/l)
r/2πk. √(l/g)
2πk/r. √(g/l)
r/2πk. √(g/l)

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Theory of Machine
In order to give a complete secondary balance of a multi-cylinder inline engine,

None of these
The algebraic sum of the secondary forces must be equal to zero
Both (A) and (B)
The algebraic sum of the couples about any point in the plane of the secondary forces must be equal to zero

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Theory of Machine
The magnitude of velocities of the points on a rigid link is

Inversely proportional to the distance from the points to the instantaneous center and is parallel to the line joining the point to the instantaneous center
Inversely proportional to the distance from the points to the instantaneous center and is perpendicular to the line joining the point to the instantaneous center
Directly proportional to the distance from the points to the instantaneous center and is parallel to the line joining the point to the instantaneous center
Directly proportional to the distance from the points to the instantaneous center and is perpendicular to the line joining the point to the instantaneous center

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Theory of Machine
The displacement of the reciprocating roller follower, when it has contact with the straight flanks of the tangent cam, is given by (where r₁ = Minimum radius of the cam, r₂ = Radius of the roller follower, and θ = Angle turned by the cam from the beginning of the follower displacement)

(r₁ - r₂) (1 - cosθ)
(r₁ + r₂) (1 + cosθ)
(r₁ - r₂) [(1 - cosθ)/cosθ]
(r₁ + r₂) [(1 - cosθ)/cosθ]

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