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  • Two blocks of masses m1 and m2 connected by a string are placed gently over a fixed inclined plane, such that the tension in the connecting string is initially zero.

Two blocks of masses m1 and m2 connected by a string are placed gently over a fixed inclined plane, such that the tension in the connecting string is initially zero. The coffecient of the firction between m1 and the inclined plane is \mu_1, between m2 and the inclined plane \mu_2. The tension in the string shall continue to remain zero if

 


 

Option: 1

\mu_1> \tan \! \alpha \; \text{and} \; \mu _2 <\tan \! \beta


Option: 2

\mu_1< \tan \! \alpha \; \text{and} \; \mu _2 >\tan \! \beta


Option: 3

\mu_1> \tan \! \alpha \; \text{and} \; \mu _2 >\tan \! \beta


Option: 4

\mu_1< \tan \! \alpha \; \text{and} \; \mu _2 <\tan \! \beta


Answers (1)

best_answer

T+f_1=m_1g \sin \alpha

For T=0, f_1 = m_1g \sin \alpha

m_1g \sin \alpha\leqslant \mu_1 m_1g \cos \alpha

\tan \alpha \leqslant \mu_1

T+f_2=m_2 \; g \sin \beta

T=0, m_2 \; g \sin \beta =f_2

m_2 \; g \sin \beta \leqslant \mu_2 m_2 \; g \cos \beta

\tan \beta \leqslant \mu_2

Posted by

Anam Khan

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