Concept explainers
a.
The MA of the given pulley if a force of
a.
Answer to Problem 71A
Explanation of Solution
Given:
The mass that is to be lifted,
The distance by which the mass is lifted,
The distance by which the rope is pulled,
The force exerted,
Formula used:
The mechanical advantage of a system is given by,
Where
Calculation:
The weight of the mass,
Using the given values, MA of the given pulley system can be calculated as,
Conclusion:
Thus, MA of the given pulley is
b.
The IMA of the given pulley if a force of
b.
Answer to Problem 71A
Explanation of Solution
Given:
The mass that is to be lifted,
The distance by which the mass is lifted,
The distance by which the rope is pulled,
The force exerted,
Formula used:
The idea mechanical advantage is the ratio of the distances moved,
Where
Calculation:
Using the given values, IMA of the given pulley system can be calculated as,
Conclusion:
Thus, IMA of the given pulley is
c.
The efficiency of the given pulley if a force of
c.
Answer to Problem 71A
Explanation of Solution
Given:
The mass that is to be lifted,
The distance by which the mass is lifted,
The distance by which the rope is pulled,
The force exerted,
From part (a),
From part (b),
Formula used:
The efficiency of a machine is the ratio of mechanical advantage and ideal mechanical advantages,
Calculation:
Using the given values in above, the efficiency of the given pulley can be calculated as,
Conclusion:
Thus, the efficiency of the given pulley is
Chapter 10 Solutions
Glencoe Physics: Principles and Problems, Student Edition
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