Which of the following examples represent periodic motion?

1. A swimmer completing one (return) trip from one bank of a river to the other and back.
2. A freely suspended bar magnet displaced from its N-S direction and released.
3. Swaying of the branches of the tree.
4. An arrow released from a bow.

Subtopic:  Types of Motion |
 52%
From NCERT
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Which of the following examples represent simple harmonic motion?

1. The rotation of the earth about its axis.
2. The motion of an oscillating mercury column in a U-tube.
3. General vibrations of a polyatomic molecule about its equilibrium position.
4. A fan rotating with a constant angular velocity.


 

Subtopic:  Simple Harmonic Motion |
 62%
From NCERT
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The figure depicts four \((\mathrm{x-t})\) plots for the linear motion of a particle.

(a)
 
(b)  
(c)   
(d)   

Which of the following is true​​​​​​?

1. (a) is periodic but (c) is not periodic.
2. (b) is periodic but (d) is not periodic.
3. (b) and (d) are periodic.
4. only (c) is periodic.
Subtopic:  Types of Motion |
 82%
From NCERT
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The period of \((\sin\omega t-\cos\omega t)\) is:
1. \(\frac{\pi}{\omega}\)
2. \(\frac{4 \pi}{\omega}\)
3. \(\frac{3 \pi}{\omega}\)
4. \(\frac{2 \pi}{\omega}\)
Subtopic:  Simple Harmonic Motion |
 73%
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Hints

y=sin3ωt is:

1. a simple harmonic function.
2. a simple harmonic function but not a periodic function.
3. both periodic and simple harmonic function.
4. only periodic function.

Subtopic:  Simple Harmonic Motion |
 65%
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A particle is in linear simple harmonic motion between two points, A and B, 10 cm apart. (Take the direction from A to B as the positive direction.) The signs of velocity, acceleration, and force on the particle when it is at 3 cm away from A going towards B are:

1. Zero, Negative, Negative

2. Negative, Zero, Zero

3. Negative, Negative, Negative

4. Positive, Positive, Positive

Subtopic:  Simple Harmonic Motion |
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Hints

Which of the following relationships between the acceleration '\(a\)' and the displacement '\(x\)' of a particle involves simple harmonic motion?

1. \(a =   0 . 7 x\) 2. \(a =   - 200 x^{2} \)
3. \(a =   - 10 x\) 4. \(a =   100   x^{3}\)


Subtopic:  Simple Harmonic Motion |
 73%
From NCERT
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A spring balance has a scale that reads from 0 to 50 kg. The length of the scale is 20 cm. A body suspended from this balance, when displaced and released, oscillates with a period of 0.6 s. What is the weight of the body?

1. 219 N

2. 196 N

3. 223 N

4. 225 N

Subtopic:  Simple Harmonic Motion |
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Hints

A spring having a spring constant of 1200 N/m is mounted on a horizontal table as shown in the figure. A mass of 3 kg is attached to the free end of the spring. The mass is then pulled sideways to a distance of 2.0 cm and released. The frequency of oscillations will be:
    

1. \(3.0~\text{s}^{-1}\) 2. \(2.7~\text{s}^{-1}\)
3. \(1.2~\text{s}^{-1}\) 4. \(3.2~\text{s}^{-1}\)

Subtopic:  Spring mass system |
 72%
From NCERT
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A spring having a spring constant of \(1200\) N/m is mounted on a horizontal table as shown in the figure. A mass of \(3\) kg is attached to the free end of the spring. The mass is then pulled sideways to a distance of \(2.0\) cm and released. The maximum acceleration of the mass is:

        
1. \(6\) ms-2
2. \(8\) ms-2
3. \(3.3\) ms-2
4. \(5.1\) ms-2

Subtopic:  Combination of Springs |
 82%
From NCERT
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