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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.
Define linear simple harmonic motion.
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 ______.
Two parallel S.H.M.s represented by `"x"_1 = 5 sin(4π"t" + π//3)` cm and `"x"_2 = 3sin (4π"t" + π//4)` cm are superposed on a particle. Determine the amplitude and epoch of the resultant S.H.M.
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 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 ____________.
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 graph between restoring force and time in case of S.H.M is ______.
A particle executes simple harmonic motion with amplitude 'A' and period 'T'. If it is halfway between mean position and extreme position, then its speed at that point 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)
Two simple harmonic motions are represented by the equations y1 = 0.1 sin `(100pi"t"+pi/3)` and y1 = 0.1 cos πt.
The phase difference of the velocity of particle 1 with respect to the velocity of particle 2 is ______.
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.
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?
