Concept explainers
(a)
To Calculate: The frequency of simple pendulum.
(a)
Answer to Problem 32P
The frequency at which it vibrates is
Explanation of Solution
Given:
Length of simple pendulum
Formula used:
Frequency of the pendulum is obtained by the following formula,
Here,
Calculation:
Substitute the given values in the above equation,
Conclusion:
Thus, the frequency of pendulum at which it vibrates is
(b)
To Calculate: The speed of pendulum bob.
(b)
Answer to Problem 32P
The speed of pendulum bob is
Explanation of Solution
Given:
Length of pendulum
Angle
Value of kinetic energy at top (at release point),
Value of potential energy at top
Value of potential energy at bottom
Formula used:
The conservation of energy can be used and related to the lowest point to the release point of pendulum, speed of the pendulum bob is determined by the following formula,
It can be written as
Here
Calculation:
Substitute the given values,
The speed of pendulum bob is
Conclusion:
Thus, the speed of pendulum bob is
(c)
To Calculate: The total energy stored in oscillation.
(c)
Answer to Problem 32P
The total energy stored in this oscillation is
Explanation of Solution
Given:
Maximum velocity
Mass
Formula used:
The total energy can be found from the KE at the bottom of motion by the following formula,
Here,
Calculation:
Substitute the given values in the above equation,
Conclusion:
Thus, the total energy stored in this oscillation is
Chapter 11 Solutions
Physics: Principles with Applications
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