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
(a) periodic
(b) oscillatory
(c) simple harmonic
(d) angular simple harmonic
Choose the correct option:
1. (a), (b) and (c)
2. (b), (c) and (d)
3. (a), (b) and (d)
4. All of these
Which of the following quantities are always negative in a simple harmonic motion?
(a) \(\vec{F} \cdot \vec{a}.\)
(b) \(\vec{v} \cdot \vec{r}.\)
(c) \(\vec{a} \cdot \vec{r}.\)
(d) \(\vec{F} \cdot \vec{r}\)
Choose the correct option:
1. (a) and (b)
2. (b) and (c)
3. (c) and (d)
4. (d) and (e)
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 are always zero in a simple harmonic motion?
a. | \(\vec{F} \times \vec{a}~~~~~~~\) |
b. | \(\vec{v} \times\vec{r}\) |
c. | \(\vec{a} \times\vec{r}\) |
d. | \(\vec{F} \times\vec{r}\) |
Choose the correct option:
1. | (a) and (b) |
2. | (a), (b) and (c) |
3. | (b), (c) and (d) |
4. | all of these |
Suppose a tunnel is dug along a diameter of the earth. A particle is dropped from a point, a distance h directly above the tunnel. The motion of the particle as seen from the earth is:
(a) simple harmonic
(b) parabolic
(c) on a straight line
(d) periodic
Choose the correct option:
1. (a) and (b)
2. (b) and (c)
3. (c) and (d)
4. All of these
For a particle executing simple harmonic motion, the acceleration is proportional to:
1. | displacement from the mean position |
2. | distance from the mean position |
3. | distance travelled since \(t=0\) |
4. | speed |
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 \(\frac{\pi}{\omega}\)