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R1903 Pages: 3

For 24mm length and12mm breadth rectangle, find moment of inertia about an
axis inclined at 30° to OX axis.

SET 111
Answer any 2 questions.

A body of mass 4.5 kg is placed on a smooth table at a distance of 2 m from the
edge. The body is connected by a light string passing over a smooth pulley. The
other end of the string is connected with a body of mass 2.5 kg. Find
i) acceleration of the system and ii) time that elapses before the body reaches the
edge of the table.

A particle is moving with simple harmonic motion and performs 8 complete
oscillations per minute. If the particle is 5 cm from the centre of the oscillation,
determine the amplitude, the velocity of the particle and maximum acceleration.
Given that the velocity of the particle at a distance of 7 m from the centre of
oscillation is 0.6 times the maximum velocity.

Explain the term ‘stiffness of a spring’.

The length of connecting rod and crank in a reciprocating pump are 50 cm and 12
cm respectively. The crank is rotating at 300 rpm. Find the velocity with which
the piston will move, when the crank has turned through an angle of 30° from the
inner dead centre.

Two springs of stiffness 4 kN/m and 6 kN/m are connected in series. Upper end of
the compound spring is connected to a ceiling and lower end carries a block of
mass 50 kg. The block is pulled 40 mm down from its position of equilibrium and
then released. Determine the period of vibration, maximum velocity and
acceleration of the block.

اد عد ‎मं‏ بد

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