An elevator mass of 2600 kg falls from a height of 25 m after a sudden failure in the hoisting cable. The mass is stopped by a spring at the bottom of the shaft having a spring constant of 90 kN/m. Determine the spring's compression distance (in m) that brings the falling elevator momentarily to rest. |
An elevator mass of 2600 kg falls from a height of 25 m after a sudden failure in the hoisting cable. The mass is stopped by a spring at the bottom of the shaft having a spring constant of 90 kN/m. Determine the peak magnitude of the acceleration in m/s/s that the elevator undergoes when brought to rest by the spring. |
10p |
An elevator mass of 2600 kg falls from a height of 25 m after a sudden failure in the hoisting cable. The mass is stopped by a spring at the bottom of the shaft. Determine the spring constant (in kN/m) necessary to bring the elevator and occupants to rest without exceeding an acceleration of 2 g's. |
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An elevator mass of 2600 kg falls from a height of 25 m after a sudden...
An elevator cable breaks and the 1550 kg elevator drops 30 m onto a large spring at the bottom of the shaft. The stiffness of the spring is k = 90, 000 N/m. Calculate the kinetic energy and velocity of the elevator after falling the 30 m distance. Find the distance of maximum compression of the spring. Determine the maximum acceleration of the elevator. What is the fastest velocity reached by the elevator during the fall?
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An elevator carries a group of people from the ground floor to the third floor of a building. The elevator and passengers have a combined mass of 2600 kg. The height of one floor is 4.5 m. If the elevator moves at a constant speed and goes from the ground floor to the third floor in one minute, calculate the work done on the elevator by gravity, the work done on the elevator by the cable, the kinetic energy of...