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 $${\omega ^2}\sqrt {{{\text{r}}^2} - {{\text{y}}^2}} $$
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 $${\omega ^2}\sqrt {{{\text{r}}^2} - {{\text{x}}^2}} $$
Periodic time of a particle moving with simple harmonic motion is the time taken by the particle for
A Half oscillation
B Quarter oscillation
C Complete oscillation
D None of these
One end of an elastic string of natural length / and modulus X is kept fixed while to the other end is attached a particle of mass m which is hanging freely under gravity. The particle is pulled down vertically through a distance x, held at rest and then released. The motion is
A a simple harmonic motion
B a rectilinear motion with constant speed
C a damped oscillatory motion
D none of the above
Sphericity is the ratio of the surface area of a spherical particle having the same volume as the particle to the surface area of the particle. Which of the following has the maximum value of sphericity?
A Sphere
B Cube
C Cylinder (L/D = 1)
D Raschig rings
If A is the amplitude of particle executing simple harmonic motion, then the total energy E of the particle is
A Proportional to A
B Proportional to A2
C Proportional to $$\frac{1}{{{{\text{A}}^2}}}$$
D Independent of A
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
The maximum acceleration of a particle moving with simple harmonic motion is
A ω
B ω.r
C ω2.r
D ω2/r
The maximum velocity of a particle moving with simple harmonic motion is
A ω
B ωr
C ω2r
D ω/r
The acceleration of the particle moving with simple harmonic motion is _________ at the mean position.
A Zero
B Minimum
C Maximum
D None of these

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