Concept explainers
The two trees in Fig. 9-51 are 6.6 m apart. A backpacker is trying to lift his pack out of the reach of bears. Calculate the magnitude of the force F that he must exert downward to hold a 19-kg backpack so that the rope sags at its midpoint by (a) 1.5 m, (b) 0.15 m.
Figure 9-51
(a)
The magnitude of the force that must be exerted downwards to hold a 19 kg backpack so that rope sags at its midpoint by 1.5 m.
Answer to Problem 8P
Solution:
Explanation of Solution
Given: Two trees are 6.6 m apart.
Weight of backpack = 19 kg.
Rope sags at midpoint by 1.5 m.
Formula Used:The System is in equilibrium. Hence,
Calculation:
y is the slag. Angle is given by:
The system is in equilibrium. Hence,
Conclusion:The magnitude of the force that must be exerted downwards to hold a 19 kg backpack so that rope sags at its midpoint by 1.5 m is
(b)
The magnitude of the force that must be exerted downwards to hold a 19 kg backpack so that rope sags at its midpoint by 0.15 m.
Answer to Problem 8P
Solution: 2052N
Explanation of Solution
Given: Two trees are 6.6 m apart.
Weight of backpack = 19 kg.
Rope sags at midpoint by 0.15 m.
Formula Used: The System is in equilibrium. Hence,
Calculation:
y is the slag. Angle is given by:
The system is in equilibrium. Hence,
Conclusion: The magnitude of the force that must be exerted downwards to hold a 19 kg backpack so that rope sags at its midpoint by 0.15 m is 2052 N.
Chapter 9 Solutions
Physics: Principles with Applications
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