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A ladders is more likely to slip when a ...

A ladders is more likely to slip when a person is near the top than when he is near the bottom.
The friction between the ladder and floor decreases as he climbs up.

A

Statement I is True, Statement II is True, Statement ll is a correct explanation for Statement I.

B

Statement I is True, Statement II is True, Statement II is NOT a correct explanation for Statement I

C

Statement I is True, Statement II is False.

D

Statement I is False, Statement II is True.

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem, we need to analyze the situation of a ladder leaning against a wall with a person climbing it. We will evaluate the two statements provided in the question. ### Step-by-Step Solution: 1. **Understanding the Setup**: - Imagine a ladder resting against a wall with one end on the ground and the other against the wall. A person climbs the ladder. 2. **Analyzing Statement 1**: - **Statement**: A ladder is more likely to slip when a person is near the top than when he is near the bottom. - **Reasoning**: When the person is near the bottom, their weight creates a smaller torque about the base of the ladder because the perpendicular distance from the line of action of the weight to the base is smaller. Conversely, when the person is near the top, the torque due to their weight is larger because the distance is greater. This increased torque makes it more likely for the ladder to slip when the person is near the top. - **Conclusion**: Statement 1 is true. 3. **Analyzing Statement 2**: - **Statement**: The friction between the ladder and floor decreases as he climbs up. - **Reasoning**: For the ladder to remain in static equilibrium, the torques must balance. As the person climbs up, the torque due to their weight increases, which means that more friction is required to prevent slipping. Therefore, the friction between the ladder and the floor cannot decrease; it must actually increase to counteract the increased torque. - **Conclusion**: Statement 2 is false. 4. **Final Conclusion**: - Since Statement 1 is true and Statement 2 is false, the correct option is the one that reflects this conclusion.

To solve the problem, we need to analyze the situation of a ladder leaning against a wall with a person climbing it. We will evaluate the two statements provided in the question. ### Step-by-Step Solution: 1. **Understanding the Setup**: - Imagine a ladder resting against a wall with one end on the ground and the other against the wall. A person climbs the ladder. 2. **Analyzing Statement 1**: ...
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