1
COMEDK 2024 Evening Shift
+1
-0

A solid cylinder of mass $$2 \mathrm{~kg}$$ and radius $$0.2 \mathrm{~m}$$ is rotating about its own axis without friction with angular velocity $$5 \mathrm{~rad} \mathrm{s}^{-1}$$. A particle of mass $$1 \mathrm{~kg}$$ moving with a velocity of $$5 \mathrm{~ms}^{-1}$$ strikes the cylinder and sticks to it as shown in figure.

The angular velocity of the system after the particle sticks to it will be

A
$$15.0 \mathrm{~rad~s}^{-1}$$
B
$$12.0 \mathrm{~rad~s}^{-1}$$
C
$$10.0 \mathrm{~rad~s}^{-1}$$
D
$$30.0 \mathrm{~rad~s}^{-1}$$
2
COMEDK 2024 Evening Shift
+1
-0

Joule second is the unit of

A
Energy
B
Power
C
Angular momentum
D
Linear momentum
3
COMEDK 2024 Morning Shift
+1
-0

A body of mass $$5 \mathrm{~kg}$$ at rest is rotated for $$25 \mathrm{~s}$$ with a constant moment of force $$10 \mathrm{~Nm}$$. Find the work done if the moment of inertia of the body is $$5 \mathrm{~kg} \mathrm{~m}^2$$.

A
625 J
B
125 J
C
6250 J
D
1250 J
4
COMEDK 2023 Morning Shift
+1
-0

A thin circular ring of mass ,$$M$$ and radius $$R$$ rotates about an axis through its centre and perpendicular to its plane, with a constant angular velocity $$\omega$$. Four small spheres each of mass $$m$$ (negligible radius) are kept gently to the opposite ends of two mutually perpendicular diameters of the ring. The new angular velocity of the ring will be

A
$$\left(\frac{M+4 m}{M}\right) \omega$$
B
$$\frac{M}{4 m} \omega$$
C
$$\left(\frac{M}{M+4 m}\right) \omega$$
D
$$\left(\frac{M}{M-4 m}\right) \omega$$
EXAM MAP
Medical
NEET