The displacement of a particle varies according to the relation $x = 4(cos\pi t + sin\pi t).$ The amplitude of the particle is
AIEEE 2003, Easy
Download our appand get started for free
Experience the future of education. Simply download our apps or reach out to us for more information. Let's shape the future of learning together!No signup needed.*
Similar Questions
- 1${T}_{0}$ is the time period of a simple pendulum at a place. If the length of the pendulum is reduced to $\frac{1}{16}$ times of its initial value, the modified timeView Solution
- 2Aheavy brass sphere is hung from a light spring and is set in vertical small oscillation with a period $T.$ The sphere is now immersed in a non-viscous liquid with a density $1/10\,th$ the density of the sphere. If the system is now set in vertical $S.H.M.,$ its period will beView Solution
- 3The energy of a particle executing simple harmonic motion is given by $E = Ax^2 + Bv^2$, where $x$ is the displacement from mean position $x = 0$ and $v$ is the velocity of the particle at $x$ then choose the incorrect statementView Solution
- 4View SolutionThe total energy of a particle, executing simple harmonic motion is
- 5If the length of the simple pendulum is increased by $44\%$, then what is the change in time period of pendulum ..... $\%$View Solution
- 6A body is in simple harmonic motion with time period half second $(T\, = 0.5\, s)$ and amplitude one $cm\, (A\,= 1\, cm)$. Find the average velocity in the interval in which it moves form equilibrium position to half of its amplitude .... $cm/s$View Solution
- 7A mass of $2.0\, kg$ is put on a flat pan attached to a vertical spring fixed on the ground as shown in the figure. The mass of the spring and the pan is negligible. When pressed slightly and released the mass executes a simple harmonic motion. The spring constant is $200\, N/m.$ What should be the minimum amplitude of the motion so that the mass gets detached from the pan (take $g = 10 m/s^2$).View Solution
- 8Two springs of force constants $K$ and $2K$ are connected to a mass as shown below. The frequency of oscillation of the mass isView Solution
- 9Consider the following statements. The total energy of a particle executing simple harmonic motion depends on itsView Solution
$(1)$ Amplitude $(2) $ Period $(3)$ Displacement
Of these statements
- 10A function is represented by equation$y = A\,\cos \,\omega t\,\cos \,2\omega t + A\,\sin \,\omega t\,\sin \,2\omega t$.View Solution
Than the nature of the function is