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प्रश्न
The relation between acceleration and displacement of four particles are given below: Which one of the particles is executing simple harmonic motion?
विकल्प
ax = + 2x.
ax = + 2x2.
ax = – 2x2.
ax = – 2x.
उत्तर
ax = – 2x.
Explanation:
In simple harmonic motion, acceleration is proportional and opposite to displacement. Applying the equation of motion
F = ma
a = − ω2x
a ∝− x
Hence − 2x represents SHM.
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संबंधित प्रश्न
let us take the position of mass when the spring is unstretched as x = 0, and the direction from left to right as the positive direction of the x-axis. Give x as a function of time t for the oscillating mass if at the moment we start the stopwatch (t = 0), the mass is
(a) at the mean position,
(b) at the maximum stretched position, and
(c) at the maximum compressed position.
In what way do these functions for SHM differ from each other, in frequency, in amplitude or the initial phase?
Answer the following questions:
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