A steel tape with a cross sectional area of 0.04 cm2 and weighing 1 kg has a length of 30.01 m between the zero and the 30m marks, when supported throughout at 22 degree C and subject to a tension of 6 kg. This tape is used to measure a distance along a horizontal ground and is supported throughout during the measurement. The tension applied is 13 kg. The temperature of the tape is 6 degree C. The measured slope distance is recorded as 370m. What is the corrected horizontal distance? (Use K = 1.15 Times 10^-5/degree C per m and E = 2.1 Times 10^6 kg/cm^2)

Aloaded platform of total mass 500 kg is supported by a dashpot and by a set of springs of effective stiffness 72 kn/m. it is observed that when the platform is depressed through a distance x = 12.5 cm below its equilibrium position and then released without any initial velocity; it reaches its equilibrium position in the shortest possible time without overshoot. find the position and velocity of the loaded platform 0.10 sec. after its release. if a further load of 400 kg is added to the platform, find, i) the frequency of damped vibrations, and i) the amplitude of vibration after 2 complete oscillations, given that the initial amplitude is 15 cm.

At 12 noon, the count in a bacteria culture was 400; at 4: 00 pm the count was 1200 let p(t) denote the bacteria cou population growth law. find: (a) an expression for the bacteria count at any time t (b) the bacteria count at 10 am. (c) the time required for the bacteria count to reach 1800.

Select any two (2) areas of applications of chain-drive. (clo4) a)-permanent lubrication necessary b)-hydraulic forklift truck operation c)-rigging and heavy moving materials d)-relatively high maintenance costs e)-costlier than belt drives