Identify the correct definition:

1. If after every certain interval of time, a particle repeats its motion, then the motion is called periodic motion.
2. To and fro motion of a particle is called oscillatory motion.
3. Oscillatory motion described in terms of single sine and cosine functions is called simple harmonic motion.
4. All of the above

Subtopic:  Types of Motion |
 92%
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From the given functions, identify the function which represents a periodic motion:
1. \(e^{\omega t}\)
2. \(log_e(\omega t)\)
3. \(\text{sin}\omega t+ \text{cos}\omega t\)
4. \(e^{-\omega t}\)

Subtopic:  Types of Motion |
 87%
From NCERT
NEET - 2020
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The rotation of the earth about its axis is:

1. periodic motion.
2. simple harmonic motion.
3. periodic and simple harmonic motion.
4. non-periodic motion.

Subtopic:  Types of Motion |
 83%
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The circular motion of a particle with constant speed is:

1. Periodic and simple harmonic 2. Simple harmonic but not periodic
3. Neither periodic nor simple harmonic 4. Periodic but not simple harmonic
Subtopic:  Types of Motion |
 79%
From NCERT
AIPMT - 2005
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Which one of the following is not an example of simple harmonic motion?

1. the motion of the Moon around the Earth as observed from Mars.
2. the ripples produced when a stone is dropped into a tank of water.
3. a weight moving up and down at the end of a spring.
4. the motion of a ball on the floor.
Subtopic:  Types of Motion |
From NCERT
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Match the types of motion in List-I with their corresponding examples in List-II.
List-I List-II
(a) motion with constant speed (i) SHM
(b) motion with constant acceleration (ii) uniform circular motion
(c) oscillatory motion (iii) projectile motion
(d) random motion (iv) molecular motion in gas

Codes:
1. a - (iv), b - (ii), c - (iii), d - (i)
2. a - (i), b - (iii), c - (ii), d - (iv)
3. a - (ii), b - (iii), c - (i), d - (iv)
4. a - (ii), b - (iii), c - (iv), d - (i)
Subtopic:  Simple Harmonic Motion |
 93%
From NCERT
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The angular velocities of three bodies in simple harmonic motion are ω1, ω2, ω3 with their respective amplitudes as A1, A2, A3. If all the three bodies have the same mass and maximum velocity, then:

1. \(A_1 \omega_1=A_2 \omega_2=A_3 \omega_3\)
2. \(A_1 \omega_1^2=A_2 \omega_2^2=A_3 \omega_3^2\)
3. \(A_1^2 \omega_1=A_2^2 \omega_2=A_3^2 \omega_3\)
4. \(A_1^2 \omega_1^2=A_2^2 \omega_2^2=A^2\)
Subtopic:  Simple Harmonic Motion |
 91%
From NCERT
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If a particle in SHM has a time period of \(0.1\) s and an amplitude of \(6\) cm, then its maximum velocity will be:
1. \(120 \pi\) cm/s 

2. \(0.6 \pi\) cm/s 

3. \(\pi\) cm/s

4. \(6\) cm/s

Subtopic:  Simple Harmonic Motion |
 91%
From NCERT
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An SHM has an amplitude \(a\) and  a time period \(T.\) The maximum velocity will be:
1. \({4a \over T}\)       
2.  \({2a \over T}\)
3. \({2 \pi \over T}\)
4. \({2a \pi \over T}\)  

Subtopic:  Simple Harmonic Motion |
 91%
From NCERT
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Two equations of S.H.M. are y1=asin(ωt-α) and y2=bcos(ωt-α). The phase difference between the two is:
1. \(0^\circ\)
2. \(\alpha^\circ\)
3. \(90^\circ\)
4. \(180^\circ\)

Subtopic:  Simple Harmonic Motion |
 87%
From NCERT
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