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प्रश्न
Define linear S.H.M.
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उत्तर
Linear S.H.M. is defined as the linear periodic motion of a body, in which force (or acceleration) is always directed towards the mean position and its magnitude is proportional to the displacement from the mean position.
संबंधित प्रश्न
Show that a linear S.H.M. is the projection of a U.C.M. along any of its diameter.
Choose the correct option:
A body of mass 1 kg is performing linear S.H.M. Its displacement x (cm) at t(second) is given by x = 6 sin `(100t + π/4)`. Maximum kinetic energy of the body is ______.
What does the phase of π/2 indicate in linear S.H.M.?
At extreme positions of a particle executing simple harmonic motion, ______
In a spring-block system, length of the spring is increased by 5%. The time period will ____________.
A particle is performing a linear simple harmonic motion of amplitude 'A'. When it is midway between its mean and extreme position, the magnitudes of its velocity and acceleration are equal. What is the periodic time of the motion?
A particle is executing simple harmonic motion with frequency f. The frequency at which its kinetic energy changes into potential energy is ______.
For a particle executing simple harmonic motion, which of the following statements is NOT correct?
A simple pendulum performs simple harmonic motion about x = 0 with an amplitude A and time period T. The speed of the pendulum at x =A/2 will be ____________.
The velocities of a particle performing linear S.H.M are 0.13 m/s and 0.12 m/s, when it is at 0.12 m and 0.13 m from the mean position respectively. If the body starts from mean position, the equation of motion is ____________.
The equation of a particle executing simple harmonic motion is given by x = sin π `("t" + 1/3)` m. At t = 1s, the speed of particle will be ______. (Given π = 3.14)
A particle is executing simple harmonic motion with amplitude A. When the ratio of its kinetic energy to the potential energy is `1/4`, its displacement from its mean position is ______.
For a particle executing SHM the displacement x is given by x = A cos ωt. Identify the graph which represents the variation of potential energy (P.E.) as a function of time t and displacement x.
For a particle performing linear S.H.M., its average speed over one oscillation is ______. (a = amplitude of S.H.M., n = frequency of oscillation)
If a body is executing simple harmonic motion, then ______.
Two simple harmonic motion are represented by the equations, y1 = 10 sin `(3pi"t"+pi/4)` and y2 = 5`(3sin3pi"t"+sqrt3cos3pi"t")`. Their amplitudes are in the ratio of ______.
What do you know about restoring force?
The displacement of a particle performing simple harmonic motion is `1/3` rd of its amplitude. What fraction of total energy will be its kinetic energy?
A particle oscillates in straight line simple harmonically with period 8 second and amplitude 4\[\sqrt 2\] m. Particle starts from mean position. The ratio of the distance travelled by it in 1st second of its motion to that in 2nd second is ______. (sin 45° = 1/\[\sqrt 2\], sin \[\frac {π}{2}\] = 1)
