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The free end of a simple pendulum is attached to the ceiling of a box. The box is taken to a height and the pendulum is oscillated. When the bob is at its lowest point, the box is released to fall freely. As seen from the box during this period, the bob will

1. continue its oscillation as before

2. stop

3. will go in a circular path

4. move on a straight line

Subtopic:  Angular SHM |
Level 3: 35%-60%
Hints

Select the correct statements.

(a) A simple harmonic motion is necessarily periodic.

(b) A simple harmonic motion is necessarily oscillatory.

(c) An oscillatory motion is necessarily periodic.

(d) A periodic motion is necessarily oscillatory.

Choose the correct option:

1. (a) and (b)

2. (b) and (c)

3. (c) and (d)

4. None of these

Subtopic:  Simple Harmonic Motion |
 66%
Level 2: 60%+
Hints

A particle moves in a circular path with a uniform speed. Its motion is:

1. periodic
2. oscillatory
3. simple harmonic
4. angular simple harmonic
Subtopic:  Types of Motion |
 81%
Level 1: 80%+
Hints

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A particle is fastened at the end of a string and is whirled in a vertical circle with the other end of the string being fixed. The motion of the particle is:

1. periodic
2. oscillatory
3. simple harmonic
4. angular simple harmonic
Subtopic:  Types of Motion |
 63%
Level 2: 60%+
Hints

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

Subtopic:  Types of Motion |
 53%
Level 3: 35%-60%
Hints

The motion of a torsional pendulum is:

(a)  periodic
(b) oscillatory
(c) simple harmonic
(d) angular simple harmonic

Choose the correct option:

1. (a), (b) and (c)

2. (b), (c) and (d)

3. (a), (b) and (d)

4. All of these

Subtopic:  Angular SHM |
Level 3: 35%-60%
Hints

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Which of the following quantities are always negative in a simple harmonic motion?

(a) \(\vec{F} \cdot \vec{a}\)
(b) \(\vec{v} \cdot \vec{r}\)
(c) \(\vec{a} \cdot \vec{r}\)
(d) \(\vec{F} \cdot \vec{r}\)

Choose the correct option from the given ones:

1. (a) and (b)
2. (b) and (c)
3. (c) and (d)
4. (d) and (e)

Subtopic:  Simple Harmonic Motion |
 71%
Level 2: 60%+
Hints

Which of the following quantities are always positive in a simple harmonic motion?

1. \(\vec{F} \cdot \vec{a}.\)

2. \(\vec{v} \cdot \vec{r}.\)

3. \(\vec{a} \cdot \vec{r}.\)

4. \(\vec{F} \cdot \vec{r}\)

Subtopic:  Simple Harmonic Motion |
 69%
Level 2: 60%+
Hints

Which of the following quantities is always zero in a simple harmonic motion?

(a) \(\vec{F} \times \vec{a}\) (b) \(\vec{v} \times\vec{r}\)
(c) \(\vec{a} \times\vec{r}\) (d) \(\vec{F} \times\vec{r}\)

Choose the correct option from the given ones:

1. (a) and (b) only
2. (a), (b) and (c) only
3. (b), (c) and (d) only
4. All of these
Subtopic:  Simple Harmonic Motion |
 58%
Level 3: 35%-60%
Hints

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Suppose a tunnel is dug along a diameter of the Earth. A particle is dropped from a point, a distance \(h\) directly above the tunnel. The motion of the particle as seen from the Earth is:
(A) simple harmonic
(B) parabolic
(C) on a straight line
(D) periodic

Choose the correct option from the given ones:
1. (A) and (B) 2. (B) and (C)
3. (C) and (D) 4. All of these
Subtopic:  Types of Motion |
 59%
Level 3: 35%-60%
Hints