Concept explainers
To Derive:An algebraic expression for the tension in each rod.
Answer to Problem 17P
Solution:
The tension in rod connecting block A and B
The tension in rod connecting A and post
Explanation of Solution
Given:
Mass of block A
Mass of block B
The radius of circular path in which block A moves
The radius of circular path in which block B moves=
Angular frequency = f
Formula used:
Centripetal acceleration
Angular speed
Where, f is the frequency.
Calculation:
For Block B:
The tension in rod provide centripetal acceleration
Apply Newton's second law of motion:
Here,
The tension in rod connecting A and B is
For Block A:
Apply Newton's second law of motion:
Here,
Substitute the value of
Substitute the value of
Hence, tension in rod connecting block A and the post is
Conclusion:
Rod in tension connecting block A and B is smaller than tension in rod connecting the post and block B and this tension is equal to
Chapter 5 Solutions
Physics: Principles with Applications
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