Relating Circular Motion to SHM

Q. 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

Q. A particle performing simple harmonic motion undergoes displacement of $\frac{A}{2}$ (where $A$ is the amplitude of simple harmonic motion) during first second. At $t=0$, the particle may be at the extreme position or mean position. The period of the simple harmonic motion can be

1. $6\text{s}$
2. $2.4\text{s}$
3. $12\text{s}$
4. $1.2\text{s}$

Q. A body of mass $0.01\text{kg}$ executes simple harmonic motion (SHM) about $x=0$ under the influence of a force $F$ which varies with $x$ as shown in figure. Find the time period of SHM of the body.

1. $\frac{\pi }{5}$
2. $\frac{\pi }{10}$
3. $\frac{3\pi }{10}$
4. $\frac{\pi }{3}$

Q. A body of mass $0.01\text{kg}$ executes simple harmonic motion (SHM) about $x=0$ under the influence of a force $F$ which varies with $x$ as shown in figure. Find the time period of SHM of the body.

1. $\frac{\pi }{5}$
2. $\frac{\pi }{10}$
3. $\frac{3\pi }{10}$
4. $\frac{\pi }{3}$

Q. A particle performing simple harmonic motion undergoes displacement of $\frac{A}{2}$ (where $A$ is the amplitude of simple harmonic motion) during first second. At $t=0$, the particle may be at the extreme position or mean position. The period of the simple harmonic motion can be

1. $6\text{s}$
2. $2.4\text{s}$
3. $12\text{s}$
4. $1.2\text{s}$

Q. Average velocity of a particle executing S.H.M. in one complete vibration is

1. $\frac{A\omega }{2}$
2. $A\omega$
3. $\frac{A{\omega }^2}{2}$
4. zero

Q. Two simple harmonic motions given by $x=A\sin (\omega t+\delta )$ and $y=A\sin (\omega t+\delta +\frac{\pi }{2})$ act on a particle simultaneously. Then the motion of particle will be:

1. circular anti-clockwise
2. elliptical anti-clockwise
3. elliptical clockwise
4. circular clockwise