B49 Explain the terms tensile stress and teale strain as applied Lo a specimen of material and explain the meaning of the word tensile. A car breaks down and the driver asks a lieal to tow it using a piece of nylon rope whils 10.00 m long and has a diameter of 10.m The rope obeys Hooke's law and has a Ynmg modulus of 3.0 x 10°Nm. The mass of the car and driver is 750 kg. (a) When towing on a level road at a cunntant speed, it is found chat the rope cstenth by 0.025 m. Calculate the tension in ilepe and hence the net resistive force aclug the towed cur. (b) The two cars now ascend a slope whul rises 1.0m vertically for every 1'5m travelled on the road. They maintan the same speed as in part (a). What is the new length of the towrope? (c) How much clastic energy is stored in ihe rope while the cars are climbing? (d) A stretched towrope must be regarded aN

Physics for Scientists and Engineers
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Publisher:Raymond A. Serway, John W. Jewett
Chapter12: Static Equilibrium And Elasticity
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Problem 27AP: The lintel of prestressed reinforced concrete in Figure P12.27 is 1.50 m long. The concrete encloses...
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B49 Explain the terms tensile stress and temale
strain as applied to a specimen of material and
explain the meaning of the word tensile.
A car breaks down and the driver asks a liel
to tow it using a piece of nylon rope whi ls
10.00 m long and has a diameter of 10.m
The rope obeys Hooke's law and has a Ynmg
modulus of 3.0 x 10°Nm. The mass ol the
car and driver is 750 kg.
(a) When towing on a level road ata cuntant
speed, it is found chat the rope cstenth by
0.025 m. Calculate the tension in ilepe
and hence the net resistive force aclug
the towed cur.
(b) The two cars now ascend a slope wlii
rises 1.0m vertically for every 1'5m
travelled on the road. They maintan the
same speed as in part (a). What is the new
length of the towrope?
(c) How much clastic energy is stored in Ihe
rope while the cars are climbing?
(d) A stretched towrope must be regarded av
dangerous because of the energy released
should it break or become detacliedl. T'lirs
danger can be reduced by careful cloe
of towrope.
By comparison with the original epe n
each case, state and explain lw the
energy stored in the rope kl be
reduced by using a rope with a all
(1) Young modulus,
(ii) area of cross-seution
"|
Transcribed Image Text:B49 Explain the terms tensile stress and temale strain as applied to a specimen of material and explain the meaning of the word tensile. A car breaks down and the driver asks a liel to tow it using a piece of nylon rope whi ls 10.00 m long and has a diameter of 10.m The rope obeys Hooke's law and has a Ynmg modulus of 3.0 x 10°Nm. The mass ol the car and driver is 750 kg. (a) When towing on a level road ata cuntant speed, it is found chat the rope cstenth by 0.025 m. Calculate the tension in ilepe and hence the net resistive force aclug the towed cur. (b) The two cars now ascend a slope wlii rises 1.0m vertically for every 1'5m travelled on the road. They maintan the same speed as in part (a). What is the new length of the towrope? (c) How much clastic energy is stored in Ihe rope while the cars are climbing? (d) A stretched towrope must be regarded av dangerous because of the energy released should it break or become detacliedl. T'lirs danger can be reduced by careful cloe of towrope. By comparison with the original epe n each case, state and explain lw the energy stored in the rope kl be reduced by using a rope with a all (1) Young modulus, (ii) area of cross-seution "|
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