The moment of inertia of a hollow circular section whose external diameter is 8

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Question
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
Options
A. 437.5 cm⁴
B. 337.5 cm⁴
C. 237.5 cm⁴
D. 137.5 cm⁴
E. 37.5 cm⁴.

Correct Answer

137.5 cm⁴

Applied Mechanics problems

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1. Pick up the incorrect statement from the following :
Options
A. The C.G. of a circle is at its centre
B. The C.G. of a triangle is at the intersecton of its medians
C. The C.G. of a rectangle is at the intersection of its diagonals
D. The C.G. of a semicircle is at a distance of r/2 from the centre
E. The C.G. of an ecllipse is at the intersection of axes.

3. Two particles have been projected at angles 64� and 45� to the horizontal. If the velocity of projection of first is 10 m/sec, the velocity of projection of the other for equal horizontal ranges is
Options
A. 9.3 m/sec
B. 8.3 m/sec
C. 7.3 m/sec
D. 6.3 m/sec.

4. A 49 kg lady stands on a spring scale in an elevator. During the first 5 sec, starting from rest, the scale reads 69 kg. The velocity of the elevator will be
Options
A. 10 m/sec
B. 15 m/sec
C. 20 m/sec
D. 25 m/sec.

6. A load of 500 kg was lifted through a distance of 13 cm. by an effort of 25 kg which moved through a distance of 650 cm. The velocity ratio of the lifting machine is
Options
A. 50
B. 55
C. 60
D. 65
E. 70.

8. A satellite is said to move in a synchronous orbit if it moves at an altitude of 36, 000 km with a maximum velocity of about
Options
A. 7000 km per hour
B. 8000 km per hour
C. 9000 km per hour
D. 10, 000 per hour
E. 11, 000 km per hour.

10. A trolley wire weighs 1 kg per metre length. The ends of the wire are attached to two poles 20 m apart. If the horizontal tension is 1000 kg, the central dip of the cable is
Options
A. 2 cm
B. 3 cm
C. 4 cm
D. 5 cm.

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