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

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

3 Hz

6π Hz

3π Hz

6 Hz

3 Hz

6π Hz

3π Hz

6 Hz

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Theory of Machine
Which of the following property of the instantaneous center is correct?

The velocity of the instantaneous centre relative to any third rigid link is same whether the instantaneous centre is regarded as a point on the first rigid link or on the second rigid link.

All of these

A rigid link rotates instantaneously relative to another link at the instantaneous centre for the configuration of the mechanism considered.

The two rigid links have no linear velocity relative to each other at the instantaneous centre.

The velocity of the instantaneous centre relative to any third rigid link is same whether the instantaneous centre is regarded as a point on the first rigid link or on the second rigid link.

All of these

A rigid link rotates instantaneously relative to another link at the instantaneous centre for the configuration of the mechanism considered.

The two rigid links have no linear velocity relative to each other at the instantaneous centre.

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Theory of Machine
A rigid body, under the action of external forces, can be replaced by two masses placed at a fixed distance apart. The two masses form an equivalent dynamical system, if

The sum of the two masses is equal to the total mass of body

All of these

The center of gravity of the two masses coincides with that of the body

The sum of mass moment of inertia of the masses about their center of gravity is equal to the mass moment of inertia of the body

The sum of the two masses is equal to the total mass of body

All of these

The center of gravity of the two masses coincides with that of the body

The sum of mass moment of inertia of the masses about their center of gravity is equal to the mass moment of inertia of the body

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Theory of Machine
In a four-bar chain it is required to give an oscillatory motion to the follower for a continuous rotation of the crank. For the lengths of 50 mm of crank and 70 mm of the follower, determine theoretical maximum length of coupler. The minimum length of the coupler will be

95 mm

45 mm

Slightly more than 45 mm

Slightly less than 45 mm

95 mm

45 mm

Slightly more than 45 mm

Slightly less than 45 mm

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Theory of Machine
Cam angle is defined as the angle

During which the follower returns to its initial position

Through which, the cam rotates during the period in which the follower remains in the highest position

Of rotation of the cam for a definite displacement of the follower

Moved by the cam from the instant the follower begins to rise, till it reaches its highest position

During which the follower returns to its initial position

Through which, the cam rotates during the period in which the follower remains in the highest position

Of rotation of the cam for a definite displacement of the follower

Moved by the cam from the instant the follower begins to rise, till it reaches its highest position

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Theory of Machine
In a reciprocating steam engine, when the crank has turned from inner dead centre through an angle θ, the angular velocity of the connecting rod is given by

ω cosθ/(n² - cos²θ)1/2

ω sinθ/(n² - cos²θ)1/2

ω sinθ/(n² - sin²θ)1/2

ω cosθ/(n² - sin²θ)1/2

ω cosθ/(n² - cos²θ)1/2

ω sinθ/(n² - cos²θ)1/2

ω sinθ/(n² - sin²θ)1/2

ω cosθ/(n² - sin²θ)1/2

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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

Theory of Machine Which of the following property of the instantaneous center is correct?

Theory of Machine A rigid body, under the action of external forces, can be replaced by two masses placed at a fixed distance apart. The two masses form an equivalent dynamical system, if

Theory of Machine In a four-bar chain it is required to give an oscillatory motion to the follower for a continuous rotation of the crank. For the lengths of 50 mm of crank and 70 mm of the follower, determine theoretical maximum length of coupler. The minimum length of the coupler will be

Theory of Machine Cam angle is defined as the angle

Theory of Machine In a reciprocating steam engine, when the crank has turned from inner dead centre through an angle θ, the angular velocity of the connecting rod is given by

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

Theory of Machine
Which of the following property of the instantaneous center is correct?

Theory of Machine
A rigid body, under the action of external forces, can be replaced by two masses placed at a fixed distance apart. The two masses form an equivalent dynamical system, if

Theory of Machine
In a four-bar chain it is required to give an oscillatory motion to the follower for a continuous rotation of the crank. For the lengths of 50 mm of crank and 70 mm of the follower, determine theoretical maximum length of coupler. The minimum length of the coupler will be

Theory of Machine
Cam angle is defined as the angle

Theory of Machine
In a reciprocating steam engine, when the crank has turned from inner dead centre through an angle θ, the angular velocity of the connecting rod is given by