1) Which one of the following statements is true when an object performs simple
ID: 1646239 • Letter: 1
Question
1)
Which one of the following statements is true when an object performs simple harmonic motion about a central point O?
The graph of acceleration against displacement is a straight line.
The acceleration and the displacement from O are always in the same direction.
The acceleration and velocity are always in opposite directions.
The acceleration is always away from O.
2)
The frequency of a body moving with simple harmonic motion is doubled. If the amplitude remains the same, which one of the following is also doubled?
The time period
The total energy
The maximum velocity
The maximum acceleration
The graph of acceleration against displacement is a straight line.
The acceleration and the displacement from O are always in the same direction.
The acceleration and velocity are always in opposite directions.
The acceleration is always away from O.
2)
The frequency of a body moving with simple harmonic motion is doubled. If the amplitude remains the same, which one of the following is also doubled?
The time period
The total energy
The maximum velocity
The maximum acceleration
Explanation / Answer
(1) for SHM,
x = A sin(wt)
a = d^2 x / dt^2 = - A w^2 sin(wt)
a = - w^2 x
so graph will be straight line,
- True
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a = - (constant) x
so a and x are directed in opposite directions
False
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aceleration and velocity are in same direction for T/4 times and then in opposite direction and so on.
False
-----
acceleration is always towards O.
2 . T = 2pi / w
w- > dobled then T will be halved.
total energy = k A^2 /2
Remains constant
v_max = A w
so v_max will be doubled.
a_max = A w^2
it will become 4time.
Ans: Maximum velocity
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