Concept explainers
One 3.2-kg paint bucket is hanging by a massless cord from another 3.2-kg paint bucket, also hanging by a massless cord, as shown in Fig. 4-49 (a) If the buckets are at rest, what is the tension in each cord? (b) If the two buckets are pulled upward with an acceleration of 1.25 m/s2by the upper cord, calculate the tension in each cord.
Figure 4-49
Problem 25
(a)
The tension in the cords hanging the buckets.
Answer to Problem 24P
Solution:
Tension in lower and upper strings are
Explanation of Solution
Given:
To find: (I)
(II)
Formula:
From Newton’s second law of motion:
Where, m is mass and a is acceleration.
Calculation:
The buckets are at rest. This means that acceleration of both buckets is
- Fromfree body diagram of lower bucket.
- From free body diagram of upper bucket.
Conclusion: Using Newton’s second law and free body diagram, the tension in the lower string as
(b)
The tension in the cords hanging the buckets when acceleration is
Answer to Problem 24P
Solution:
Tension in lower and upper strings are
Explanation of Solution
Given:
To find: (I)
(II)
Formula:
Calculation:
- From, Free body diagram of lower bucket.
- From, Free body diagram of upper bucket.
Conclusion: Using Newton’s second law and free body diagram, the tension in the lower string as
Chapter 4 Solutions
Physics: Principles with Applications
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