Problem (1) In the event of a cable failure at D, an air spring A is used to protect the support B and prevent damage to the weight C which has a mass of 12 kg. (a) Plot (i) shows the force developed by the spring as a function of its deformation. Determine the height d from which the block needs to be suspended to cause a maximum spring deformation of 0.12 m in the event the cable fails. (b) If the cable is suspended from the same height d calculated earlier and the force developed by the spring as a function of its deformation is now given by plot (ii), find the maximum spring deformation in this case, knowing that k = 24 kN/m2 in plot (ii). Neglect the mass of the pulley and belt and use the principle of work and energy.

a) d=0.3387 m

b) s=0.17 m

Explanation:

a) The force displacement relation ship B is:

Clearing k:

Spring energy B is:

So, at max compression:

Clearing d and replacing values:

b) is similar to a)

answer: the exterior temperature of commercial jet planes as they leave the stratosphere and return to the ground increases steadily.

explanation:

the lower most layer of atmosphere is troposphere which extends from 0 to 12 km above the surface of the earth. the temperature initially decreases as distance is increased from the earth's surface. commercial jets fly in lower part of the stratosphere. the stratosphere extends upto 50 km. the temperature in stratosphere starts rising again due to presence of ozone which traps the uv rays.

thus, when the planes leave the stratosphere and return to the ground, the exterior temperature increases steadily.