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Standard IX

Physics

Momentum

Two particles...

Question

Two particles of masses 'm' and '2m' are connected by massless string of length 3 meter and whole system is rotating about their centre of mass with angular speed 'ω'. The kinetic energy ofsystem is

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Q. Two particles of masses m₁ and m₂ are joined by a light rigid rod of length r. The system rotates at an angular speed ω about an axis through the centre of mass of the system and perpendicular to the rod. Show that the angular momentum of the system is

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where

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μ = \frac{m_{1} + m_{2}}{m_{1} + m_{2}}

Q. Two blocks are connected with a string and the system is connected to another string which is fixed at the centre of a circular table as shown in the figure. The table is rotating with an angular speed of

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Q. Two identical particles

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. Another particle

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Two discs of moments of inertia $I_{1}$ and $I_{2}$ about their respective axes (normal to the disc and passing through the centre), and rotating with angular speeds $ω_{1}$ and $ω_{2}$ are brought into contact face to face with their axes of rotation coincident.

(a) What is the angular speed of the two-disc system?

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