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 $${\omega ^2}\sqrt {{{\text{r}}^2} - {{\text{y}}^2}} $$
If a man cycles at 10 km/hr, then he arrives at a certain place at 1 pm. If he cycles at 15 km/hr, he will arrive at the same place at 11 am. At what speed must he cycles to get there at noon?
A 11 km/hr
B 12 km / hr
C 13 km / hr
D 14 km / hr
The velocity of a body moving with simple harmonic motion is __________ at the mean position.
A Zero
B Minimum
C Maximum
D None of these
Periodic time of body moving with simple harmonic motion, is
A Directly proportional to its angular velocity
B Directly proportional to the square of its angular velocity
C Inversely proportional to the square of its angular velocity
D Inversely proportional to its angular velocity
A particle moving with a simple harmonic motion, attains its maximum velocity when it passes
A The extreme point of the oscillation
B Through the mean position
C Through a point at half amplitude
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 $$\frac{1}{{2\pi }}\sqrt {\frac{\delta }{{\text{g}}}} $$
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 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 $${\omega ^2}\sqrt {{{\text{r}}^2} - {{\text{x}}^2}} $$

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