Periodic Motion

Q. Which of the following expressions represents an oscillatory motion ?

1. $F=-2(x-2{)}^2$
2. $F=2(x-2{)}^3$
3. $F=2(x-2{)}^2$
4. $F=-2(x-2{)}^3$

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

2. (i), (iv)

3. (i), (iii), (iv)

4. All of these

Q.

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

1. False

2. True

Q. Swaison's Thrush (a fleet of small sized birds of an oscine family), while migrating fly far east across North America before turning south via Florida to reach northern South America. If they do this journey every year taking exactly the same time, to and fro on the same route with the same velocity profile then under which category can we put their motion.

1. Periodic motion

2. Oscillatory motion

3. Both Oscillatory and Periodic

4. None of these

Q.

A ball falls from a height 'h' above the ground, collides and rebounds. The collision is perfectly elastic. Will the motion be

1. None of these

2. Periodic

3. Oscillatory

4. Both (a) & (b)

Q. Can a motion that is periodic relative to one observer be non-periodic relative to another?

1. True

2. False

Q.

When a body repeats its motion in regular interval of time then it's said to execute periodic motion. Let's say a car is going on a race track (as shown in figure)

The car covers 5 laps.

For each lap it took 10 mins

In which of the below mentioned cases will its motion be considered periodic.

Case I: The car was travelling with constant speed.

Case II: The car had a constant acceleration from rest (0 m/s) and then a constant deceleration to rest (0 m/s) in each lap for all 5 laps.

Case III: The car had a non-uniform acceleration throughout the journey.

Case IV: lap 1 with constant speed, lap 2 with constant acceleration, lap 3, 4, 5 with variable acceleration.

1. Case I is periodic

2. Case II is periodic

3. Case III is Periodic

4. All cases are periodic

Q.

In a circus an artist is swinging on a trapeze. What kind of motion is it?

1. Oscillation

2. Periodic motion

3. Angular SHM

4. Harmonic

Q. Motion repeated in an equal interval of time is termed as 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