Concept explainers
(a)
The
(a)
Answer to Problem 87A
The angular acceleration of the wooden door is
Explanation of Solution
Given:
The mass of the wooden door is denoted by
The length of the wooden door is denoted by
Consider the acceleration due to gravity is
Formula used:
The expression for the angular acceleration of the object is,
Here,
Calculation:
Consider the wooden door of length
The acceleration with which the wooden door falls is same as the acceleration due to gravity
The radius of axis of rotation is same as the length of the wooden door.
The angular acceleration of the wooden door is,
Conclusion:
Therefore, the angular acceleration of the wooden door is
(b)
To identify:Whether the acceleration of the door is constant or not.
(b)
Answer to Problem 87A
Yes, the acceleration of the door is constant.
Explanation of Solution
Given:
The mass of the wooden door is denoted by
The length of the wooden door is denoted by
Consider the acceleration due to gravity is
Formula used:
The expression for the angular acceleration of the object is,
Here,
Calculation:
From part (a), the angular acceleration of the wooden door is,
It is observed that the value of angular acceleration of the door depends upon the acceleration due to gravity of Earth
The value of acceleration due to gravity of Earth
The value of acceleration length of the wooden-door
Hence, the angular acceleration of the door is a constant.
Conclusion:
Thus, the angular acceleration of the door is a constant.
Chapter 8 Solutions
Glencoe Physics: Principles and Problems, Student Edition
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