1.14. EXERCISES
1.11A circular and a square cantilevers
are made of a same material and have equal
areas of cross-section and lengths. Find the
ratio of their depressions for a given load [ 6 ].
1.12A brass bar having 1 cm square cross-
sectional area is supported on two knife
edges 1 m apart. A load of 1 kg at the
centre of the bar depresses the midpoint by
2.51 mm. What is the Young’s Modulus of
brass?
1.13A disc of 10 cm radius and mass 1 kg is
suspended in a horizontal plane by a vertical
wire attached to its centre. If the diameter
of the wire is 1 mm, its length is 1.5 metres,
and the period of torsional vibration of the
disc is 5 secs, find the Rigidity Modulus of
the wire.
Answers:
1.1 (D) 2000 N
1.2 (A) material of the wire
1.3 (B) 20 kg
1.4(A) 1/8
1.5 (B) 1.0 mm
1.6 (A) smallest at the top and gradually
increases down the rod
1.7 (A)l/l
1.8 (C)l^1 TT^22 ≠≠Tl^21 T^1
1.9 (B) when the mass is at the lowest
point
1.10 135 mm
1.11^3 fi
1.12 97 .7GPa
1.13 120 .6GPA
Anna University Semester End Examination Questions
Part A (2 marks) - Questions for Short Answers (3 to 3.5 minutes to answer each)
- Although both pressure and stress are measured in pascal (Pa), physically they
are dierent. Explain how do they dier from each other. - Which is more elastic; rubber or steel? Explain your answer.
- State Hooke’s law of elasticity and define elastic modulus.
- For small deformations the ratio stress/strain remains constant for a material
such as steel. What happens to this ratio as the deformation is made larges
and larger? - An steel wire is cut into half of its original length. Does this change the
maximum tensile load the wire can support? Explain your answer. - Draw the typical stress- strain diagram and label its dierent regions, for a
material such as steel.
PH8151 43 LICET