1
BITSAT 2024
MCQ (Single Correct Answer)
+3
-1
The moment of inertia of a cube of mass $ m $ and side $ a $ about one of its edges is equal to
A
$ \frac{2}{3} m a^{2} $
B
$ \frac{4}{3} m a^{2} $
C
$ 3 m a^{2} $
D
$ \frac{8}{3} m a^{2} $
2
BITSAT 2024
MCQ (Single Correct Answer)
+3
-1
A rigid body rotates about a fixed axis with variable angular velocity equal to $ \alpha-\beta t $, at the time $ t $, where $ \alpha, \beta $ are constants. The angle through which it rotates before it stops is
A
$ \frac{\alpha^{2}}{2 \beta} $
B
$ \frac{\alpha^{2}-\beta^{2}}{2 \alpha} $
C
$ \frac{\alpha^{2}-\beta^{2}}{2 \beta} $
D
$ \frac{(\alpha-\beta) \alpha}{2} $
3
BITSAT 2023
MCQ (Single Correct Answer)
+3
-1

Two rings of radius $$R$$ and $$n R$$ made of same material have the ratio of moment of inertia about an axis passing through centre is $$1: 64$$. The value of $$n$$ is

A
2
B
2$$\sqrt2$$
C
4
D
1/2
4
BITSAT 2023
MCQ (Single Correct Answer)
+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.

BITSAT 2023 Physics - Rotational Motion Question 3 English

A
$$v_0 / r$$
B
$$v_0 / 2 r$$
C
$$2 v_0 / r$$
D
$$v_0 r$$
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