ISRO Scientist or Engineer Mechanical 2009

Instructions

For the following questions answer them individually

Question 41

An overhung beam ABC of length 4m is supported at A and B 3m apart. It is loaded with UDL of 5 KN/m along its entire length. Find the value of load ‘P’ at C such that the reactions at A and B are equal and opposite.

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Question 42

If two gears have moment of inertias as $$I_1$$ and $$I_2$$ respectively and mesh with a speed ratio $$\frac{\omega_2}{\omega_1} = n,$$ then equivalent momentof inertia of both gears referred to first one is

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Question 43

A uniform circular ring of mass M and radius r is rotating with an angular speed $$\omega$$ about an axis passing through its center and perpendicular to the plane of the ring.Two identical beads, each of mass m, somehow get attached at two diametrically opposite points. The rotational speed of the ring will become

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Question 44

An electric lift is moving downward with an acceleration of g/3. the vertical force between a passenger in the lift and its floor is equal to

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Question 45

A body of mass 10kg moving with a velocity of 1 m/s is acted upon by a force of 50 N for two seconds. The final velocity of the body is

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Question 46

Proof resilience may be defined as

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Question 47

A plane intersects the co-ordinate axes at $$x = \frac{2}{3}, y =\frac{1}{3}, z = \frac{1}{2}.$$ Whatis the Miller index of this plane?

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Question 48

Relationship between modulus of elasticity E, modulus of rigidity G and Poisson’s ratio $$\mu$$ is

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Question 49

A bar of Length L, area A and Young’s modulus E is subjected to a pulling force P.The strain energy stored in the bar is

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Question 50

What is the expression for crippling load for a column of length L, with one end fixed and other end free?

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