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P It is Proposed to Move a Particle in Simple Harmonic Motion on a Rough Horizontal Surface by Applying an External Force Along the Line of Motion.

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प्रश्न

It is proposed to move a particle in simple harmonic motion on a rough horizontal surface by applying an external force along the line of motion. Sketch the graph of the applied force against the position of the particle. Note that the applied force has two values for a given position depending on whether the particle is moving in positive or negative direction.

टीपा लिहा
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उत्तर

Figure (a) shows the graph of the applied force against the position of the particle.

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पाठ 12: Simple Harmonics Motion - Short Answers [पृष्ठ २५०]

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एचसी वर्मा Concepts of Physics Volume 1 and 2 [English]
पाठ 12 Simple Harmonics Motion
Short Answers | Q 8 | पृष्ठ २५०

व्हिडिओ ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्‍न

Show variation of displacement, velocity, and acceleration with phase for a particle performing linear S.H.M. graphically, when it starts from the extreme position.


Can simple harmonic motion take place in a non-inertial frame? If yes, should the ratio of the force applied with the displacement be constant?


A particle executes simple harmonic motion. If you are told that its velocity at this instant is zero, can you say what is its displacement? If you are told that its velocity at this instant is maximum, can you say what is its displacement?


In measuring time period of a pendulum, it is advised to measure the time between consecutive passage through the mean position in the same direction. This is said to result in better accuracy than measuring time between consecutive passage through an extreme position. Explain.


A pendulum clock gives correct time at the equator. Will it gain time or loose time as it is taken to the poles?


The motion of a particle is given by x = A sin ωt + B cos ωt. The motion of the particle is


In a simple harmonic motion
(a) the maximum potential energy equals the maximum kinetic energy
(b) the minimum potential energy equals the minimum kinetic energy
(c) the minimum potential energy equals the maximum kinetic energy
(d) the maximum potential energy equals the minimum kinetic energy


A particle executes simple harmonic motion with an amplitude of 10 cm and time period 6 s. At t = 0 it is at position x = 5 cm going towards positive x-direction. Write the equation for the displacement x at time t. Find the magnitude of the acceleration of the particle at t = 4 s.


A pendulum clock giving correct time at a place where g = 9.800 m/s2 is taken to another place where it loses 24 seconds during 24 hours. Find the value of g at this new place.


A simple pendulum of length 40 cm is taken inside a deep mine. Assume for the time being that the mine is 1600 km deep. Calculate the time period of the pendulum there. Radius of the earth = 6400 km.


A uniform rod of length l is suspended by an end and is made to undergo small oscillations. Find the length of the simple pendulum having the time period equal to that of the road.


A uniform disc of mass m and radius r is suspended through a wire attached to its centre. If the time period of the torsional oscillations be T, what is the torsional constant of the wire?


Three simple harmonic motions of equal amplitude A and equal time periods in the same direction combine. The phase of the second motion is 60° ahead of the first and the phase of the third motion is 60° ahead of the second. Find the amplitude of the resultant motion.


If the inertial mass and gravitational mass of the simple pendulum of length l are not equal, then the time period of the simple pendulum is


Write short notes on two springs connected in parallel.


Describe Simple Harmonic Motion as a projection of uniform circular motion.


A simple harmonic motion is given by, x = 2.4 sin ( 4πt). If distances are expressed in cm and time in seconds, the amplitude and frequency of S.H.M. are respectively, 


Displacement vs. time curve for a particle executing S.H.M. is shown in figure. Choose the correct statements.

  1. Phase of the oscillator is same at t = 0 s and t = 2s.
  2. Phase of the oscillator is same at t = 2 s and t = 6s.
  3. Phase of the oscillator is same at t = 1 s and t = 7s.
  4. Phase of the oscillator is same at t = 1 s and t = 5s.

Assume there are two identical simple pendulum clocks. Clock - 1 is placed on the earth and Clock - 2 is placed on a space station located at a height h above the earth's surface. Clock - 1 and Clock - 2 operate at time periods 4 s and 6 s respectively. Then the value of h is ______.

(consider the radius of earth RE = 6400 km and g on earth 10 m/s2)


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