d Ꮎ 2. A uniform ladder of mass 25.0 kg and length 10.0 m leans against a frictionless wall at an angle = 65.00 with respect to the ground as shown. The coefficient of static friction between the ladder and the ground is 0.350. What maximum distance (d) can an 75.0 kg worker climb the ladder without it slipping? O 5.00 m O 9.97 m O 10.0 m 8.34 m

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Chapter10: Rotation Of A Rigid Object About A Fixed Axis
Section: Chapter Questions
Problem 10.7OQ: As shown in Figure OQ10.7, a cord is wrapped onto a cylindrical reel mounted on a fixed, friction...
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**Title: Understanding Ladder Mechanics with Static Friction**

**Image Description and Explanation:**

The diagram illustrates a uniform ladder leaning against a frictionless wall at an angle \(\theta = 65.0^\circ\) with respect to the ground. The ladder has a mass of 25.0 kg and a length of 10.0 meters. An individual is shown climbing the ladder, with the distance climbed denoted as \(d\). 

**Graph and Diagram Details:**

- The ladder is depicted as a straight line inclined against the wall, forming an angle \(\theta\) with the horizontal ground.
- The length of the ladder, \( \ell = 10.0 \, \text{meters} \), is represented from the base where it touches the ground to the top where it contacts the wall.
- An individual (represented as a stick figure) is climbing the ladder at a distance \(d\) from the bottom.
- There are arrows denoting the angles and lengths, such as the angle of inclination \(\theta\) and the distance \(d\).
- The base of the ladder shows the coefficient of static friction between the ladder and the ground, which is noted as \( \mu_s = 0.350 \).

**Question for Students:**

A uniform ladder of mass 25.0 kg and length 10.0 meters leans against a frictionless wall at an angle \(\theta = 65.0^\circ\) with respect to the ground. The coefficient of static friction between the ladder and the ground is 0.350. What maximum distance (\(d\)) can a 75.0 kg worker climb the ladder without it slipping?

**Options:**

- \(\text{5.00 m}\)
- \(\text{9.97 m}\)
- \(\text{10.0 m}\)
- \(\text{8.34 m}\)

***End Note:***

This problem is a typical example used in physics to understand static equilibrium and the effects of friction. Students are encouraged to solve this by considering the forces and torques acting on the ladder to ensure it remains in equilibrium.
Transcribed Image Text:**Title: Understanding Ladder Mechanics with Static Friction** **Image Description and Explanation:** The diagram illustrates a uniform ladder leaning against a frictionless wall at an angle \(\theta = 65.0^\circ\) with respect to the ground. The ladder has a mass of 25.0 kg and a length of 10.0 meters. An individual is shown climbing the ladder, with the distance climbed denoted as \(d\). **Graph and Diagram Details:** - The ladder is depicted as a straight line inclined against the wall, forming an angle \(\theta\) with the horizontal ground. - The length of the ladder, \( \ell = 10.0 \, \text{meters} \), is represented from the base where it touches the ground to the top where it contacts the wall. - An individual (represented as a stick figure) is climbing the ladder at a distance \(d\) from the bottom. - There are arrows denoting the angles and lengths, such as the angle of inclination \(\theta\) and the distance \(d\). - The base of the ladder shows the coefficient of static friction between the ladder and the ground, which is noted as \( \mu_s = 0.350 \). **Question for Students:** A uniform ladder of mass 25.0 kg and length 10.0 meters leans against a frictionless wall at an angle \(\theta = 65.0^\circ\) with respect to the ground. The coefficient of static friction between the ladder and the ground is 0.350. What maximum distance (\(d\)) can a 75.0 kg worker climb the ladder without it slipping? **Options:** - \(\text{5.00 m}\) - \(\text{9.97 m}\) - \(\text{10.0 m}\) - \(\text{8.34 m}\) ***End Note:*** This problem is a typical example used in physics to understand static equilibrium and the effects of friction. Students are encouraged to solve this by considering the forces and torques acting on the ladder to ensure it remains in equilibrium.
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