Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
NEET 2003
Exam
NEET
Year
2003
Subject
Physics
Chapter
Rotational Motion

NEET 2003 · Physics · Rotational Motion

A thin circular ring of Mass M and radius r is rotating about its...

A thin circular ring of Mass MM and radius rr is rotating about its axis with a constant angular velocity ω\omega. Four objects each of mass mm, are kept gently to the opposite ends of two perpendicular diameters of the ring. The angular velocity of the ring will be:

Options

  1. AMω4m\frac{M \omega}{4 m}
  2. BMωM+4m\frac{M \omega}{M+4 m}
  3. C(M+4m)ωM\frac{(M+4 m) \omega}{M}
  4. D(M−4m)ωM+4m\frac{(M-4 m) \omega}{M+4 m}

Correct answer

B. MωM+4m\frac{M \omega}{M+4 m}

Step-by-step solution

According to law of conservation of angular momentum Mr2ω=(Mr2+4mr2)ω′⇒ω′=MωM+4m\begin{aligned} & M r^2 \omega=\left(M r^2+4 m r^2\right) \omega^{\prime} \\ & \Rightarrow \omega^{\prime}=\frac{M \omega}{M+4 m} \end{aligned}
Practice Rotational Motion on Quantrex Academy →

More from Rotational Motion

A solid sphere A of radius R and mass M is attached at a point to a smaller solid sphere… NEET 2026The angular speed of a flywheel is increased from 600 rpm to 1200 rpm in 10 s. The number… NEET 2026A thin wire of length ' L ' and linear mass density ' m ' is bent into a circular ring… NEET 2026A thin horizontal disc is rotating about a vertical axis passing through its fixed centre… NEET 2026The Sun rotates around its centre once in 27 days. What will be the period of revolution… NEET 2025A sphere of radius R is cut from a larger solid sphere of radius 2 R as shown in the… NEET 2025The radius of gyration of a solid sphere of mass 5 kg about X Y is 5 m as shown in… NEET 2024A wheel of a bullock cart is rolling on a level road as shown in the figure below. If its… NEET 2024 Full Rotational Motion list All NEET PYQs