**Civil Engineering Exam Paper set 4**

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Centre of gravity of a thin hollow cone lies on the axis of symmmetry at a height of

2

A square hole is punched out of a circular lamina, the diagonal of the square being the radius of the circle. If r is the radius of the circle, the C.G. of the remainder from the corner of the square on the circumference will be

3

From a circular plate of a diameter 6 cm is cut out a circle whose diameter is equal to the radius of the plate. The C.G. of the remainder from the centre of circular plate is at a distance of

4

If a spherical body is symmetrical about its perpendicular axes, the moment of inertia of the body about an axis passing through its centre of gravity as given by Routh's rule is obtained by dividing the product of the mass and the sum of the squares of two semi-axes by n where n is

5

The moment of inertia of a hollow circular section whose external diameter is 8 cm and internal diameter is 6 cm, about centroidal axis, is

6

If a body moves in such a way that its velocity increases by equal amount in equal intervals of time, it is said to be moving with

7

A particle moves with a velocity of 2 m/sec in a straight line with a negative acceleration of 0.1 m/sec2. Time required to traverse a distance of 1.5 m, is

8

A particle moves along a straight line such that distance x traversed in t seconds is given by x = t2(t + 1), the acceleration of the particle, will be

9

A ball is dropped from the top of a vertical tower 60 m high and another ball is projected from the foot of the same tower upwards at the same time. If they meet at a height of 18 m, the velocity of projection of the second ball, is

10

A stone is projected upwards from the foot of a towar 50 m high with a velocity of 25 m/sec and at the same time an other stone is dropped from the top of the tower. The two stones cross each other after

11

A particle starts from rest moves in a straight line whose equation of motion is given by s = t2 - 2t2 - 1. The acceleration of the particle after one sec, will be

12

The motion of a moving car is given by the equation a = t3 + 3t2 + 5 where a is the acceleration in m/sec2 and t is the time in seconds. The velocity of the car after 2 secs, will be

13

To a cyclist riding west at 20 kg per hour, the rain appears to meet him at an angle of 45? with the vertical. When he rides at 12 km per hour, the rain meets him at an angle of 19? 48' with the vertical, the actual direction of the rain, is

14

A ship is moving N 48? 30' W at 20 knots/hour and a second ship is moving E 90? at 10 knots/hour, the relative velocity of the second ship with respect to first, is