Student Login

Home›Chapters›Rotational Motion PYQs›Angular Momentum & its Conservation›Question 96

JEE Main 2002 (AIEEE) · Angular Momentum & its Conservation

Angular Momentum & its Conservation question from JEE Main 2002 (AIEEE)

Q96JEE Main 2002 · AIEEEMedium

Angular Momentum & its Conservation

Initial angular velocity of a circular disc of mass $M$ is $\omega_1.$ Then two small spheres of mass $m$ are attached gently to diametrically opposite points on the edge of the disc. What is the final angular velocity of the disc?

Show answer and solution

Answer: (c)

Disc: $I_1 = \frac{1}{2}MR^2$ ; two spheres on the edge add $2mR^2$ .
Conservation of $L$ : $\frac{1}{2}MR^2\omega_1 = \left(\frac{1}{2}M + 2m\right)R^2\omega_2$ .
$\omega_2 = \frac{M}{M+4m}\omega_1$
So the answer is (c) $\left(\frac{M}{M+4m}\right)\omega_1$ .

Report a mistake

More questions on Angular Momentum & its Conservation

A thin circular ring of mass M and radius r is rotating about its axis with a constant…NEET 1998 (AIPMT)
A particle of mass m = 5 is moving with a uniform speed v = 3√(2) in the XOY plane along…NEET 1991 (AIPMT)
When the position vector r = xi + yj + zk changes sign as -r, which one of the following…JEE Main 2026 (28 Jan, Shift 2)
A particle of mass m is projected with velocity V making an angle of 45° with the…MHT CET 2026 (14 May, Shift 2)
A particle of mass m is projected with speed v at 45° with the horizontal. The magnitude…MHT CET 2026 (14 May, Shift 1)
The position of an object having mass 0.1 kg as a function of time t is given as r =…JEE Main 2026 (2 Apr, Shift 1)
Two cars A and B each of mass 10³ kg are moving on parallel tracks separated by a…JEE Main 2026 (21 Jan, Shift 2)
The moment of inertia of a ring about an axis passing through its centre and…MHT CET 2026 (11 Apr, Shift 2)