Concept explainers
(a)
The tension in the string.
(a)
Answer to Problem 86A
The tension in the string is
Explanation of Solution
Given:
The mass of the ball is
The length of string is
The angle made by the string with the vertical is
Formula used:
The expression for the
Here,
The expression for the gravitational force acting on the body is,
Here,
Calculation:
The swing of the ball in the circular path is shown below.
The gravitational force acting on the ball is denoted by
The centripetal force acting on the ball is denoted by
Consider the force in the string is denoted by
The vertical component
The vertical component
Substitute the values for
Conclusion:
Therefore, the tension in the string is
(b)
The speed of the ball.
(b)
Answer to Problem 86A
The speed of the ball is
Explanation of Solution
Given:
The mass of the ball is
The length of string is
The angle made by the string with the vertical is
Formula used:
The expression for the centripetal force acting on an object moving in a circular path is given by,
Here,
The expression for the gravitational force acting on the body as follows:
Here,
Calculation:
The swing of the ball in the circular path is shown below.
The gravitational force acting on the ball is denoted by
The radius
The horizontal component
The horizontal component
From part (a), substitute
Substitute the values for
Conclusion:
Therefore, the speed of the ball is
Chapter 6 Solutions
Glencoe Physics: Principles and Problems, Student Edition
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