The natural frequency of free torsional vibrations of a shaft is equal to (where q = Torsional stiffness of the shaft, and I = Mass moment of inertia of the disc attached at the end of a shaft)

Theory of Machine
The natural frequency of free torsional vibrations of a shaft is equal to (where q = Torsional stiffness of the shaft, and I = Mass moment of inertia of the disc attached at the end of a shaft)

1/2π

2π qI

2π. √(q/I)

(1/2π). √(q/I)

1/2π

2π qI

2π. √(q/I)

(1/2π). √(q/I)

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Theory of Machine
A system of masses rotating in different parallel planes is in dynamic balance if the

Resultant force and resultant couple are both equal to zero

Resultant couple is equal to zero

Resultant force is numerically equal to the resultant couple, but neither of them need necessarily be zero

Resultant force is equal to zero

Resultant force and resultant couple are both equal to zero

Resultant couple is equal to zero

Resultant force is numerically equal to the resultant couple, but neither of them need necessarily be zero

Resultant force is 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

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

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 perpendicular to the line joining the point to the instantaneous center

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

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

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 perpendicular to the line joining the point to the instantaneous center

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Theory of Machine
The angle of inclination of the plane, at which the body begins to move down the plane is called

Angle of repose

Angle of friction

None of these

Angle of projection

Angle of repose

Angle of friction

None of these

Angle of projection

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Theory of Machine
In a Hartnell governor, the stiffness of the spring is given by (where S1 and S2 = Spring forces exerted on the sleeve at max. and min. radii of rotation, and h = Compression of the spring)

(S₁ + S₂) / 2h

(S₁ - S₂) / h

(S₁ + S₂) / h

(S₁ - S₂) / 2h

(S₁ + S₂) / 2h

(S₁ - S₂) / h

(S₁ + S₂) / h

(S₁ - S₂) / 2h

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Theory of Machine
The inversion of a mechanism is

Obtained by reversing the input and output motion

Changing of a higher pair to a lower pair

Turning its upside down

Obtained by fixing different links in a kinematic chain

Obtained by reversing the input and output motion

Changing of a higher pair to a lower pair

Turning its upside down

Obtained by fixing different links in a kinematic chain

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Theory of Machine

Theory of Machine The natural frequency of free torsional vibrations of a shaft is equal to (where q = Torsional stiffness of the shaft, and I = Mass moment of inertia of the disc attached at the end of a shaft)

Theory of Machine A system of masses rotating in different parallel planes is in dynamic balance if the

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

Theory of Machine The angle of inclination of the plane, at which the body begins to move down the plane is called

Theory of Machine In a Hartnell governor, the stiffness of the spring is given by (where S1 and S2 = Spring forces exerted on the sleeve at max. and min. radii of rotation, and h = Compression of the spring)

Theory of Machine The inversion of a mechanism is

Theory of Machine
The natural frequency of free torsional vibrations of a shaft is equal to (where q = Torsional stiffness of the shaft, and I = Mass moment of inertia of the disc attached at the end of a shaft)

Theory of Machine
A system of masses rotating in different parallel planes is in dynamic balance if the

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

Theory of Machine
The angle of inclination of the plane, at which the body begins to move down the plane is called

Theory of Machine
In a Hartnell governor, the stiffness of the spring is given by (where S1 and S2 = Spring forces exerted on the sleeve at max. and min. radii of rotation, and h = Compression of the spring)

Theory of Machine
The inversion of a mechanism is