ExamGOAL
Books
PreviousNext
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
6
MCQ (Single Correct Answer)

In problem 5, the CM of the plate is now in the following quadrant of x-y plane.

A
I
B
II
C
III
D
IV
7
MCQ (Single Correct Answer)

The density of a non-uniform rod of length 1 m is given by $$\rho(x)=a\left(1+b x^2\right)$$ where, a and b are constants and $$0 \leq x \leq 1$$. The centre of mass of the rod will be at

A
$$\frac{3(2+b)}{4(3+b)}$$
B
$$\frac{4(2+b)}{3(3+b)}$$
C
$$\frac{3(3+b)}{4(2+b)}$$
D
$$\frac{4(3+b)}{3(2+b)}$$
8
MCQ (Single Correct Answer)

A merry-go-round, made of a ring-like platform of radius $$R$$ and mass $$M$$, is revolving with angular speed $$\omega$$. A person of mass $$M$$ is standing on it. At one instant, the person jumps off the round, radially away from the centre of the round (as seen from the round). The speed of the round of afterwards is

A
$$2 \omega$$
B
$$\omega$$
C
$$\frac{\omega}{2}$$
D
0
PreviousNext