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1
MCQ (Single Correct Answer)

For which of the following does the centre of mass lie outside the body?

A
A pencil
B
A shotput
C
A dice
D
A bangle
2
MCQ (Single Correct Answer)

Which of the following points is the likely position of the centre of mass of the system shown in figure?

A
A
B
B
C
C
D
D
3
MCQ (Single Correct Answer)

A particle of mass $$m$$ is moving in $$y z$$-plane with a uniform velocity $$v$$ with its trajectory running parallel to $$+v e y$$-axis and intersecting $$z$$-axis at $$z=a$$ in figure. The change in its angular momentum about the origin as it bounces elastically from a wall at $$y=$$ constant is

A
$$m v a \hat{\mathbf{e}}_x$$
B
$$2 m v a \hat{\mathbf{e}}_x$$
C
$$y m v \hat{\mathbf{e}}_x$$
D
$$2 y m v \hat{\mathbf{e}}_x$$
4
MCQ (Single Correct Answer)

When a disc rotates with uniform angular velocity, which of the following is not true?

A
The sense of rotation remains same
B
The orientation of the axis of rotation remains same
C
The speed of rotation is non-zero and remains same
D
The angular acceleration is non-zero and remains same
5
MCQ (Single Correct Answer)

A uniform square plate has a small piece $Q$ of an irregular shape removed and glued to the centre of the plate leaving a hole behind in figure. The moment of inertia about the $z$-axis is then,

A
increased
B
decreased
C
the same
D
changed in unpredicted manner
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