Periodic Motion

Q. An elastic ball is dropped from a certain height and returns to the same height after elastic collision on the floor. What is the nature of repeated motion of the ball?

1. Simple harmonic, oscillatory and periodic
2. Simple harmonic, oscillatory but not periodic
3. Simple harmonic, periodic, but not oscillatory
4. Oscillatory, periodic but not simple harmonic

Q. The displacement of a particle is represented by the equation $y={\sin }^3\omega t$. The motion is

1. non-periodic
2. periodic but not simple harmonic
3. simple harmonic with period $2\pi /\omega$
4. simple harmonic with period $\pi /\omega$

Q. The particle should have the same position and velocity vector after time period 'T' for performing the periodic motion.

1. False
2. True

Q.

Which of the following are necessary conditions for a particle performing periodic motion?

(i) The particle's path is fixed

(ii) The particle's momentum is constant

(iii) Velocity at any position is same after time t = T time duration where T is particle's Time period.

(iv) Time period is same for every cycle

1. All of these

2. (i), (ii), (iv)

3. (i), (iv)

4. (i), (iii), (iv)

Q. A particle is moving in a circle with uniform speed. Its motion is

1. not periodic
2. periodic and simple harmonic
3. periodic but not simple harmonic
4. none of the above

Q. Identify "Periodic Motion”?

1. 

2. 

3. 

4. 

Q.

A person goes to bed at sharp 10.00 pm every day. Is it an example of periodic motion?

1. True

2. False

Q. The particle should have the same position and velocity vector after time period 'T' for performing the periodic motion.

1. False
2. True