m 1 and m 2 are connected by inextensible and light string and masses are m 1 , m 2 , m 3 are kept on smooth incline. Their respective acceleration are a 1 , a 2 , a 3 . Choose the cor

Question

m 1 ​ and m 2 ​ are connected by inextensible and light string and masses are m 1 ​ , m 2 ​ , m 3 ​ are kept on smooth incline. Their respective acceleration are a 1 ​ , a 2 ​ , a 3 ​ . Choose the correct option(s). (All quantities are magnitudes).

TestHub · Accepted Answer

All three masses slide on smooth inclines, so each moves with acceleration g sin $θ$ down its incline regardless of mass:

$a_{1} = a_{2} = a_{3} = g sin θ$

So (A) and (C) are correct.

Because m_1 and m_2 have the same acceleration, the connecting string never tightens and stays slack:

$T = 0$

With no tension, the contact/normal interaction N between the blocks is also zero, so N = T (= 0).

Hence (B) and (D) are also correct. Correct options: (A), (B), (C), (D).

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Options:(select one or more)

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