Concept explainers
The centre of gravity of the leaning tower of pisa.
Answer to Problem 37P
Solution:
The tower is at stable equilibrium and top needs to be 15.4 m off centre to be unstable
Explanation of Solution
One must determine the centre of gravity of the leaning tower of Pisa. Since the dimensions
To remain in equilibrium, a vertical line along the center of gravity must pass through the base. The top is 4.5 m off centre. So, the off-centre, d is 4.5 m.
So, the angle of inclination is
The location of the centre of gravity after the tilt is given by the same method with
It is well with the
For the tower to fall or become unstable, the centre of gravity must exceed the dimension of the base. So, the radial offset of the centre of gravity of an unstable tower must exceed
Substituting the values:
To find the offset value for an unstable tower, substitute it in
Conclusion:
The tower is at stable equilibrium and top needs to be 15.4m off centre to be unstable.
Chapter 9 Solutions
Physics: Principles with Applications
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