Which of the following is an example of simple harmonic motion?

A Earth spinning on its axis
B Simple pendulum motion
C Ball bouncing on floor
D Motion of a ceiling fan

Correct Answer: Simple pendulum motion

When a body moves about a mean position in such a way that the acceleration is proportional to the displacement and is always directed towards the mean position, the body is said to execute a simple harmonic motion. The motion of a simple pendulum falls under this category.
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Related Questions

One end of a helical spring is fixed while the other end carries the load W which moves with simple harmonic motion. The frequency of motion is given by (where $$\delta $$ = Deflection of the spring.)
A $$2\pi \sqrt {\frac{g}{\delta }} $$
B $$\frac{1}{{2\pi }}\sqrt {\frac{g}{\delta }} $$
C $$2\pi \sqrt {\frac{\delta }{g}} $$
D $$\frac{1}{{2\pi }}\sqrt {\frac{\delta }{g}} $$
One end of a helical spring is fixed while the other end carries the load W which moves with simple harmonic motion. The frequency of motion is given by (where $$\delta $$ = Deflection of the spring)
A $$2\pi \sqrt {\frac{{\text{g}}}{\delta }} $$
B $$\frac{1}{{2\pi }}\sqrt {\frac{{\text{g}}}{\delta }} $$
C $$2\pi \sqrt {\frac{\delta }{{\text{g}}}} $$
D $$\frac{1}{{2\pi }}\sqrt {\frac{\delta }{{\text{g}}}} $$
The velocity of a particle (v) moving with simple harmonic motion, at any instant is given by (where, r = Amplitude of motion and y = Displacement of the particle from mean position.)
A $$\omega \sqrt {{{\text{y}}^2} - {{\text{r}}^2}} $$
B $$\omega \sqrt {{{\text{r}}^2} - {{\text{y}}^2}} $$
C $${\omega ^2}\sqrt {{{\text{y}}^2} - {{\text{r}}^2}} $$
D $${\omega ^2}\sqrt {{{\text{r}}^2} - {{\text{y}}^2}} $$
সরল দোল গতি (simple harmonic motion ) সম্পন্ন কোন বস্তুর সর্বোচ্চ গতিশক্তি (maximum kinetic energy ) -র সমীকরণ -
A (Ek)max=12mϖ2a2
B   (Ek)max=12mϖ2k2
C    (Ek)max=12mϖa2  
D      (Ek)=12mϖK2
সরলদোল গতি (simple harmonic motion) সম্পন্ন বস্তুর মোট শক্তি (total energy ) এর সমীকরণ-
A E = 12 ka2
B   E=12mϖ2a2 
C A ও B উভয়ই
D কোনোটিই নয়
সরল ছন্দিত গতিতে স্পন্দনরত দুটি কণার সরণ-X1=Acosωt এবং X2=Acosωt, যে কোন সময়ে এদের মধ্যে দশা পার্থক্য কত হবে? (Two particles are oscillating at simple harmonic motion. If their displacements are described by X1=Asinωt and X2 =Acosωt, what will be the phase difference between them at any instant?)
A 2π
B π
C π2
D π4
সরল ছন্দিত গতিতে স্পন্দনরত দুটি কণার সরণ X1=Asinwt এবং X2=Acoswt, যে কোন সময়ে এদের মধ্যে দশা পার্থক্য কত হবে? (Two particles are oscillating at simple harmonic motion. If their displacements are described by x1 = Asinwt and x2 = Acostat, what will be the phase difference between them at any instant?)
A 2π
B π
C π/2
D π/4
সরল দোল গতিসম্পন্ন একটি বস্তু যখন তার সাম্যাবস্থান থেকে 2 cm দূরে, তখন তার গতিশক্তি স্থিতিশক্তির ও গুণ। বস্তুটির দোলনের বিস্তার কত হবে? (An object oscillating in simple harmonic motion has its kinetic energy 3 times the potential energy when the object is 2 cm away from its equilibrium position. What is the amplitude of the oscillation for the object?)
A 3 cm
B 1 cm
C 2 cm
D 4 cm
The maximum acceleration of a particle moving with simple harmonic motion is
A ω
B ω.r
C ω2.r
D ω2/r
When a body moves with simple harmonic motion, the product of its periodic time and frequency is equal to
A zero
B one
C п/2
D п

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