M.P. Farrell 5. A school chair is made of material of Young Modulus 2.5 x 1010 Pa. A pupil of mass 35 kg stands on the chair to hang a poster in the classroom. a) What is the stress in each of the chair's four legs if each leg is cylindrical in shape and has a diameter of 5 cm? b) Determine the compression in each leg, if the length of each leg is 45 cm. 6. A column of height 1m has to support a bronze statue of mass 200 kg. The column breaks if stressed beyond 8 x 105 Pa. a) If the column has a diameter of 30 cm, will it be strong enough to support the statue? Show your calculation. b) If the Young Modulus of the material of the column is 5 x 109 Pa, determine the compression of the column when supporting the statue. 7. a) Define the terms stress and strain. State their units. b) A copper wire of length 1.5 m has a cross-sectional area of 1.5 x 10-5 m². If a 500 kg load is suspended from its end, what is the increase in the length of the wire? (Young's Modulus for copper = 1.1 x 1011 Pa) 8. The diagram shows the apparatus used to find Young's modulus of elasticity for copper. a) Define Young's modulus and state its units. 9. a) 10. (MATSEC September 1999) 11 b b) Explain Control wire i. why two wires are used, Experimental wire ii. why is the wire used long and thin rather than short and thick? iii. mm scale Vernier scale How the apparatus is used to measure Young's modulus for copper. Your answer should include the graph to be plotted, all measurements made, and the necessary calculations. c) Mention one precaution which must be taken. Load d) The copper wire used is 2.5 m long and has a diameter of 3 mm. A load of 20 N is applied. Find the extension in the wire (Young's modulus for copper is 1.1 x 1011 Pa) (MATSEC May 2000)
M.P. Farrell 5. A school chair is made of material of Young Modulus 2.5 x 1010 Pa. A pupil of mass 35 kg stands on the chair to hang a poster in the classroom. a) What is the stress in each of the chair's four legs if each leg is cylindrical in shape and has a diameter of 5 cm? b) Determine the compression in each leg, if the length of each leg is 45 cm. 6. A column of height 1m has to support a bronze statue of mass 200 kg. The column breaks if stressed beyond 8 x 105 Pa. a) If the column has a diameter of 30 cm, will it be strong enough to support the statue? Show your calculation. b) If the Young Modulus of the material of the column is 5 x 109 Pa, determine the compression of the column when supporting the statue. 7. a) Define the terms stress and strain. State their units. b) A copper wire of length 1.5 m has a cross-sectional area of 1.5 x 10-5 m². If a 500 kg load is suspended from its end, what is the increase in the length of the wire? (Young's Modulus for copper = 1.1 x 1011 Pa) 8. The diagram shows the apparatus used to find Young's modulus of elasticity for copper. a) Define Young's modulus and state its units. 9. a) 10. (MATSEC September 1999) 11 b b) Explain Control wire i. why two wires are used, Experimental wire ii. why is the wire used long and thin rather than short and thick? iii. mm scale Vernier scale How the apparatus is used to measure Young's modulus for copper. Your answer should include the graph to be plotted, all measurements made, and the necessary calculations. c) Mention one precaution which must be taken. Load d) The copper wire used is 2.5 m long and has a diameter of 3 mm. A load of 20 N is applied. Find the extension in the wire (Young's modulus for copper is 1.1 x 1011 Pa) (MATSEC May 2000)
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Transcribed Image Text:M.P. Farrell
5. A school chair is made of material of Young Modulus 2.5 x 1010 Pa. A pupil of
mass 35 kg stands on the chair to hang a poster in the classroom.
a) What is the stress in each of the chair's four legs if each leg is cylindrical in
shape and has a diameter of 5 cm?
b) Determine the compression in each leg, if the length of each leg is 45 cm.
6. A column of height 1m has to support a bronze statue of mass 200 kg. The
column breaks if stressed beyond 8 x 105 Pa.
a) If the column has a diameter of 30 cm, will it be strong enough to support
the statue? Show your calculation.
b) If the Young Modulus of the material of the column is 5 x 109 Pa, determine
the compression of the column when supporting the statue.
7. a) Define the terms stress and strain. State their units.
b) A copper wire of length 1.5 m has a cross-sectional area of 1.5 x 10-5 m². If
a 500 kg load is suspended from its end, what is the increase in the length
of the wire?
(Young's Modulus for copper = 1.1 x 1011 Pa)
8. The diagram shows the apparatus used to find
Young's modulus of elasticity for copper.
a) Define Young's modulus and state its units.
9. a)
10.
(MATSEC September 1999)
11
b
b) Explain
Control
wire
i.
why two wires are used,
Experimental
wire
ii.
why is the wire used long and thin rather
than short and thick?
iii.
mm scale
Vernier scale
How the apparatus is used to measure
Young's modulus for copper. Your
answer should include the graph to be
plotted, all measurements made, and the
necessary calculations.
c) Mention one precaution which must be
taken.
Load
d) The copper wire used is 2.5 m long and has a diameter of 3 mm. A load of
20 N is applied. Find the extension in the wire
(Young's modulus for copper is 1.1 x 1011 Pa)
(MATSEC May 2000)
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