1
BITSAT 2023
+3
-1

A thin but rigid semicircular wire frame of radius $$r$$ is hinged at $$O$$ and can rotate in its own vertical plane. A smooth peg $$P$$ starts from $$O$$ and moves horizontally with constant speed $$2 v_0$$ lifting the frame upward as shown in figure. Find the angular velocity $$\omega$$ of the frame when its diameter makes an angle of $$60^{\circ}$$ with vertical.

A
$$v_0 / r$$
B
$$v_0 / 2 r$$
C
$$2 v_0 / r$$
D
$$v_0 r$$
2
BITSAT 2022
+3
-1

Four holes of radius 5 cm are cut from a thin square plate of 20 cm and mass 1 kg. The moment of inertia of the remaining portion about Z-axis is

A
15 kg-m2
B
0.37 kg-m2
C
0.0017 kg-m2
D
0.08 kg-m2
3
BITSAT 2022
+3
-1

A solid sphere of 80 kg and radius 15 m moving in a space becomes a circular disc of radius 20 m in 1 h. The rate of change of moment of Inertia in this process is .......

A
$$\frac{30}{9}$$ kg-m2s$$-$$1
B
$$\frac{25}{9}$$ kg-m2s$$-$$1
C
$$\frac{10}{9}$$ kg-m2s$$-$$1
D
$$\frac{22}{9}$$ kg-m2s$$-$$1
4
BITSAT 2021
+3
-1

The angular momentum of a body placed at origin of mass 1 kg and having position vector $$r = 3t\widehat i + 4\widehat j$$ is

A
time dependent
B
$$3\widehat k$$ J-s
C
$$- 12\widehat k$$ J-s
D
0
EXAM MAP
Medical
NEET