Concept explainers
The strategy used by a thief to climb down through a rope which can’t support the mass of the thief.
Answer to Problem 13P
Solution:
Thief climbs down with the acceleration of
Explanation of Solution
Given:
Mass of petty thief,
Mass which generates maximum tension T in the rope.
Formula Used:
According to Newton’s second law of motion:
Where, m is the mass and a is the acceleration.
Calculation:
Maximum tension in the rope would be equal to the weight it can support i.e.
Weight of thief acts downwards i.e.
Free body diagram for the given situation is:
Substitute the values and solve for acceleration ( a ).
Rope can’t support tension due to the weight of the thief. To reduce tension due to weight, thief climbs down with the acceleration
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