College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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![The system shown in the figure below is used to lift an object of mass \( m = 49.0 \, \text{kg} \). A constant downward force of magnitude \( F \) is applied to the loose end of the rope such that the hanging object moves upward at constant speed. Neglecting the masses of the rope and pulleys, find the following:
**Diagram Explanation:**
- The diagram shows a pulley system with two pulleys and a rope.
- The rope is attached at three points: \( T_1 \), \( T_2 \), and \( T_3 \).
- \( T_1 \) is to the left of the top pulley, \( T_2 \) is on the other side of the pulley, below it, leading down to the mass \( m \).
- \( T_3 \) is pointing upward from the support of the top pulley to the ceiling.
- A downward force \( F \) is applied on the rope to the right of the second pulley.
- An object with mass \( m \) hangs from the rope, indicating the weight being lifted.
**Tasks:**
(a) Find the required value of \( F \).
\[
\underline{\hspace{3cm}} \, \text{N}
\]
(b) Find the tensions \( T_1 \), \( T_2 \), and \( T_3 \). (\( T_3 \) indicates the tension in the rope which attaches the pulley to the ceiling.)
\[
T_1 = \underline{\hspace{3cm}} \, \text{N} \\
T_2 = \underline{\hspace{3cm}} \, \text{N} \\
T_3 = \underline{\hspace{3cm}} \, \text{N}
\]
(c) Find the work done by the applied force in raising the object a distance of \( 1.00 \, \text{m} \).
\[
\underline{\hspace{3cm}} \, \text{kJ}
\]
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Transcribed Image Text:The system shown in the figure below is used to lift an object of mass \( m = 49.0 \, \text{kg} \). A constant downward force of magnitude \( F \) is applied to the loose end of the rope such that the hanging object moves upward at constant speed. Neglecting the masses of the rope and pulleys, find the following:
**Diagram Explanation:**
- The diagram shows a pulley system with two pulleys and a rope.
- The rope is attached at three points: \( T_1 \), \( T_2 \), and \( T_3 \).
- \( T_1 \) is to the left of the top pulley, \( T_2 \) is on the other side of the pulley, below it, leading down to the mass \( m \).
- \( T_3 \) is pointing upward from the support of the top pulley to the ceiling.
- A downward force \( F \) is applied on the rope to the right of the second pulley.
- An object with mass \( m \) hangs from the rope, indicating the weight being lifted.
**Tasks:**
(a) Find the required value of \( F \).
\[
\underline{\hspace{3cm}} \, \text{N}
\]
(b) Find the tensions \( T_1 \), \( T_2 \), and \( T_3 \). (\( T_3 \) indicates the tension in the rope which attaches the pulley to the ceiling.)
\[
T_1 = \underline{\hspace{3cm}} \, \text{N} \\
T_2 = \underline{\hspace{3cm}} \, \text{N} \\
T_3 = \underline{\hspace{3cm}} \, \text{N}
\]
(c) Find the work done by the applied force in raising the object a distance of \( 1.00 \, \text{m} \).
\[
\underline{\hspace{3cm}} \, \text{kJ}
\]
**Need Help?**
- *Read It* [Button]
- *Watch It* [Button]
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