A particle is fastened at the end of a string and is whirled in a vertical circle with the other end of the string being fixed. The motion of the particle is:

1.	periodic
2.	oscillatory
3.	simple harmonic
4.	angular simple harmonic

A particle moves in a circular path with a continuously increasing speed. Its motion is:
1. periodic
2. oscillatory
3. simple harmonic
4. none of them

The motion of a torsional pendulum is:

Choose the correct option:

Which of the following quantities are always negative in a simple harmonic motion?

Choose the correct option from the given ones:

Which of the following quantities are always positive in a simple harmonic motion?

1. \(\vec{F} \cdot \vec{a}.\)

2. \(\vec{v} \cdot \vec{r}.\)

3. \(\vec{a} \cdot \vec{r}.\)

4. \(\vec{F} \cdot \vec{r}\)

Which of the following quantities is always zero in a simple harmonic motion?

Choose the correct option from the given ones:

For a particle executing simple harmonic motion, the acceleration is proportional to:
 

A particle moves in the X-Y plane according to the equation \(\vec{r}=(\vec{i}+2 \vec{j}) A \cos \omega t\).

The motion of the particle is:

(a) on a straight line

(b) on an ellipse

(c) periodic

(d) simple harmonic

Choose the correct option:

1. (a), (b) and (c)

2. (b), (c) and (d)

3. (a), (c) and (d)

4. All of these

A particle moves on the X-axis according to the equation \(x=x_{0} \sin ^{2} \omega t\). The motion is simple harmonic

1. with amplitude \(x_{0}\)

2. with amplitude \(2 x_{0}\)

3. with time period \(\frac{2 \pi}{\omega}\)

4. with time period \(\frac{\pi}{\omega}\)