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An engineer is designing an ideal spring to be placed at the bottom of an elevator shaft in vertical position. If the elevator cable breaks at the height h above the upper end of the spring, then calculate the required value of the spring constant so that the passenger undergoes an acceleration of not more than 5g, when elevator is brought to rest. Let M be the mass of the elevator and passengers (Given acceleration due to gravity =g).

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Mohd Talib
Mohd TalibLv10
1 Jan 2021

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Related textbook solutions

Physics: Principles with Applications
7th Edition, 2013
Giancoli
ISBN: 9780321625922

Related questions

An engineer is designing a spring to be placed at the bottom of an elevator shaft. If the elevator cable should happen to break when the elevator is at a height h above the top of the spring, calculate the value that the spring constant k should have so that passangers undergo an acceleration of no more than 5.0G when brought to rest. Let M be the total mass of the elevator and passengers.

An engineer is designing a spring to be placed at the bottom of an elevator shaft to bring the elevator to rest in case the elevator cable breaks. If the elevator falls from rest from the top floor of the building at a height h above the top of the spring, the passengers should undergo an acceleration of no more than 4.0 g when brought to rest. Calculate the maximum value the spring constant k should have.

Suppose a 94.5 kg mass is 3.75 m above the ground, and is droppedfrom rest.

a) If there is no friction, at what speed will the mass hit theground?
m/s

b) Suppose the mass now hits the ground at speed 5.72 m/s. How muchwork was done by friction on the mass? (Give the answer as apositive number.)
J

2. In procedure 1: a box of mass M starts from rest at height h,and slides down a frictionless incline.

a) If the mass of the box increases, the acceleration of the box onthe incline
decreases
increases
remains the same


b) Suppose the speed of M at the bottom of the incline was v. Atwhat height would M have to start so the speed of M at the bottomis 2v?

4h
h
between h and 2h
between 2h and 4h
more than 4h
2h

3. In procedure 2: an inclined plane is 120 cm long, and is tippedat angle ? = 10.5o. The 0 cm mark is at the bottom. Photogate 1 isat the 29.3 cm mark, and photogate 2 is at the 62.5 cm mark alongthe track, Assume

- The bottom of the track is at 0 J potential energy.
- The total mass of the cart is 654 g.
- The track is totally frictionless

NOTE: Be careful of units!


a) Find the potential energy of the cart .
- At photogate 1: J
- At photogate 2: J

b) Suppose the cart is released at rest at photogate 2 (the higherpoint on the track). Find the speed of the cart as it passesphotogate 1.
m/s

4. Ҁ“in procedure 3: a spring is at the bottom of a frictionlessincline. When a box of mass M compresses the spring distance x andis released from rest, the box slides distance d up the incline(measured from where the box is at rest).

a) Suppose a box of mass 2M is used to compress the spring distancex,and is released from rest. The distance the box will slide up theincline is

d/2
between d and 2d
d/4
2d
between d/2 and d/4
between d/2 and d
d
4d
between 2d and 4d


b) Suppose a box of mass M is used to compress the spring distance2x, and is released from rest. The distance the box will slide upthe incline now is

d/2
2d
between d and 2d
between d and d/2
d/4
4d
between d/4 and d/2
between 4d and 2d
d

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