A circular disc of mass M 1 and radius R 1 initially moving with an angular speed w 0…

Physics · JEE Advanced · NTA ExamsRotational Motion

A circular disc of mass M1 and radius R1 initially moving with an angular speed w0 about the horizontal centroidal axis is brought in contact with another stationary circular disc of mass M2 and radius R2 as shown in the figure.
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  1. Friction force decelerates the disc M1 and accelerates the disc M2.
  2. The final angular speeds of the discs are in the ratio \(\frac{\omega_{1}}{\omega_{2}}=\frac{R_{1}}{R_{2}}\).
  3. The angular momentum of the system (M1 + M2) is conserved about the point of contact.
  4. The final rotational energy is less than the initial rotational energy.

Answer

(A) Friction force decelerates the disc M 1 and accelerates the disc M 2 ., (C) The angular momentum of the system (M 1 + M 2 ) is conserved about the point of contact., (D) The final rotational energy is less than the initial rotational energy.

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