Related Questions

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 $${\omega ^2}\sqrt {{{\text{r}}^2} - {{\text{y}}^2}} $$
In a simple harmonic motion, the velocity vector with respect to displacement vector
A is in phase
B leads by 900
C leads by 1800
D lags by 900
The velocity of a particle moving with simple harmonic motion, at any instant is given by (where $$\omega $$ = Displacement of the particle from mean position)
A $$\omega \sqrt {{{\text{x}}^2} - {{\text{r}}^2}} $$
B $$\omega \sqrt {{{\text{r}}^2} - {{\text{x}}^2}} $$
C $${\omega ^2}\sqrt {{{\text{x}}^2} - {{\text{r}}^2}} $$
D $${\omega ^2}\sqrt {{{\text{r}}^2} - {{\text{x}}^2}} $$
একটি কণা A বিস্তারে সরল ছন্দিত স্পন্দনে স্পন্দিত হচ্ছে। সাম্যাবস্থা থেকে কত দূরত্বে কণাটির বিভব শক্তি তার মোট শক্তির এক-চতুর্থাংশ হয়? (A particle is executing Simple Harmonic Motion with an amplitude A. At what displacement from the equilibrium position, is the potential energy of the particle one-fourth of its total energy?)
A A/4
B A/2
C A/√2
D A√2
In simple harmonic motion, acceleration of a particle is proportional to
A Rate of change of velocity
B Displacement
C Velocity
D Direction
The periodic time of a particle with simple harmonic motion is _________ proportional to the angular velocity.
A Directly
B Inversely
C Square root
D None of these
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 $$\frac{1}{{2\pi }}\sqrt {\frac{\delta }{{\text{g}}}} $$
একটি সাধারণ সুরেলা দোলনের (Simple harmonic oscillation) জন্য, কৌণিক স্থানচ্যুতি (angular displacement) নিচের কোনটির চেয়ে বেশি হতে পারে না?
A 3°
B 4°
C 6°
D 5°
If the kinetic energy and potential energy of a simple harmonic oscillator of amplitude A are both equal to half the total energy, then the displacement is equal to
A $${\text{A}}$$
B $$\frac{{\text{A}}}{2}$$
C $$\frac{{\text{A}}}{{\sqrt 2 }}$$
D $${\text{A}}\sqrt 2 $$

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