Concept explainers
(a)
The minimum radius of the circle so that the centripetal acceleration at the lowest point does not exceed
(a)
Answer to Problem 12P
Solution:
The minimum radius of the loop so that centripetal acceleration at the lowest point does not exceed
Explanation of Solution
Given:
Jet speed,
Centripetal acceleration,
Mass of pilot,
Formula Used:
Centripetal acceleration of circular motion
Where,
v : speed of the body
r : radius of the circular path
Calculation:
Conclusion:
Minimum radius of the circle, so that centripetal acceleration does not exceed
(b)
The effective weight of
(b)
Answer to Problem 12P
Solution:
Effective weight of pilot at the bottom of the circle
Explanation of Solution
From free body diagram,
Newton’s second law at the bottom of the loop
Centripetal acceleration for fixed radius and speed is the same
Conclusion:
Effective weight of pilot at the bottom of the circle
(c)
At the top of the circle (assume the same speed).
(c)
Answer to Problem 12P
Solution:
Effective weight of pilot at the top of the circle
Explanation of Solution
From Free body diagram.
Newton’s second law at the top of the loop
Negative normal force means it acts in downward direction.
So effective weight is present at top of the loop.
The = Normal force exerted by shoat belt in down direction
Conclusion:
Hence, effective weight at the top of the loop
Chapter 5 Solutions
Physics: Principles with Applications
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