SATHEE: Laws of Motion 2 Question 6

Laws of Motion 2 Question 6

6. A uniform rope of length $L$ and mass $M$ lying on a smooth table is pulled by a constant force $F$ . What is the tension in the rope at a distance $l$ from the end where the force is applied?

(1978)

(a) $0.4 m s^{- 2}$

(b) $3.2 m s^{- 2}$

(d) $0 m s^{- 2}$

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Answer:

Correct Answer: 6. (c, d)

Solution:

$μ_{2}$ can never be zero for equilibrium.

When $μ_{1} = 0$ , we have

$\begin{aligned} N_{1} & = μ_{2} N_{2} \\ N_{2} = m g \\ τ_{B} & = 0 \\ \Rightarrow & m g \frac{L}{2} \cos θ = N_{1} L \sin θ \\ \Rightarrow & N_{1} = \frac{m g \cot θ}{2} \Rightarrow N_{1} \tan θ = \frac{m g}{2} \end{aligned}$

When, $μ_{1} \neq 0$ we have

$\begin{aligned} μ_{1} N_{1} + N_{2} & = m g \\ μ_{2} N_{2} & = N_{1} \\ \Rightarrow N_{2} & = \frac{m g}{1 + μ_{1} μ_{2}} \end{aligned}$

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Laws of Motion 2 Question 6

6. A uniform rope of length $L$ and mass $M$ lying on a smooth table is pulled by a constant force $F$ . What is the tension in the rope at a distance $l$ from the end where the force is applied?

Answer:

इंजीनियरिंग की तैयारी

चिकित्सा तैयारी

एनसीईआरटी पुस्तकें और समाधान

महत्वपूर्ण संसाधन

अन्य संसाधन

पाठ्यक्रम

परीक्षा मंच

नमूना मॉक टेस्ट

सदस्यता

एनसीईआरटी व्यायाम वीडियो समाधान

Laws of Motion 2 Question 6

6. A uniform rope of length L and mass M lying on a smooth table is pulled by a constant force F. What is the tension in the rope at a distance l from the end where the force is applied?

Answer:

इंजीनियरिंग की तैयारी

चिकित्सा तैयारी

एनसीईआरटी पुस्तकें और समाधान

महत्वपूर्ण संसाधन

अन्य संसाधन

पाठ्यक्रम

परीक्षा मंच

नमूना मॉक टेस्ट

सदस्यता

एनसीईआरटी व्यायाम वीडियो समाधान

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6. A uniform rope of length $L$ and mass $M$ lying on a smooth table is pulled by a constant force $F$ . What is the tension in the rope at a distance $l$ from the end where the force is applied?