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प्रश्न
Define linear simple harmonic motion.
उत्तर
Linear simple harmonic motion (S.H.M.) is defined as the linear periodic motion of a body, in which the restoring force (or acceleration) is always directed towards the mean position and its magnitude is directly proportional to the displacement from the mean position.
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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.?
Define 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 executes simple harmonic motion and is located at x = a, b, and c at times t0, 2t0, and 3t0 respectively. The frequency of the oscillation is ______.
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 ____________.
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The graph between restoring force and time in case of S.H.M 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 ______.
A light rod of length 2m suspended from the ceiling horizontally by means of two vertical wires of equal length. A weight W is hung from a light rod as shown in figure.
The rod hung by means of a steel wire of cross-sectional area A1 = 0.1 cm2 and brass wire of cross-sectional area A2 = 0.2 cm2. To have equal stress in both wires, T1/T2 = ______.
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 ______.
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?
