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Two rings each of mass M-100 gm are constrained to move along a fixed horizontal rod An ideal string is connected with rings and block of mass M, = 200 gm is connected to the mid point of string At a certain moment the mass m is moving downward with velocity √3 m/s. Find the speed of ring of M at the moment: M 2m 2m M 30° 30° Molvo = √3 m/s
Asked by 11soumya09 | 29 Sep, 2023, 07:35: PM

Let l be the semi-length between rings and h be the distance between mass and rod as shown in figure.

when the mass is always at centre of string, then we have

...............................(1)
if we differentiate above eqn.(1) , then we get

where dl/dt is speed of ring and dh/dt is speed of mass .

Then from above expression, we get

Answered by Thiyagarajan K | 29 Sep, 2023, 08:32: PM

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