English
Karnataka Board PUCPUC Science Class 11

Which of the following example represent (nearly) simple harmonic motion and which represent periodic but not simple harmonic motion? A motion of an oscillating mercury column in a U-tube.

Advertisements
Advertisements

Question

Which of the following example represent (nearly) simple harmonic motion and which represent periodic but not simple harmonic motion?

A motion of an oscillating mercury column in a U-tube.

Answer in Brief
Advertisements

Solution

An oscillating mercury column in a U-tube is simple harmonic. This is because the mercury moves to and fro on the same path, about the fixed position, with a certain period of time.

shaalaa.com
  Is there an error in this question or solution?

Video TutorialsVIEW ALL [1]

RELATED QUESTIONS

The periodic time of a linear harmonic oscillator is 2π second, with maximum displacement of 1 cm. If the particle starts from extreme position, find the displacement of the particle after π/3  seconds.


Which of the following example represent periodic motion?

An arrow released from a bow.


Which of the following example represent (nearly) simple harmonic motion and which represent periodic but not simple harmonic motion?

General vibrations of a polyatomic molecule about its equilibrium position.


The length of the second’s pendulum in a clock is increased to 4 times its initial length. Calculate the number of oscillations completed by the new pendulum in one minute.


A particle executes simple harmonic motion under the restoring force provided by a spring. The time period is T. If the spring is divided in two equal parts and one part is used to continue the simple harmonic motion, the time period will


Consider a simple harmonic motion of time period T. Calculate the time taken for the displacement to change value from half the amplitude to the amplitude.


The left block in figure moves at a speed v towards the right block placed in equilibrium. All collisions to take place are elastic and the surfaces are frictionless. Show that the motions of the two blocks are periodic. Find the time period of these periodic motions. Neglect the widths of the blocks.


The period of oscillation of a body of mass m1 suspended from a light spring is T. When a body of mass m2 is tied to the first body and the system is made to oscillate, the period is 2T. Compare the masses m1 and m2


A 20 cm wide thin circular disc of mass 200 g is suspended to rigid support from a thin metallic string. By holding the rim of the disc, the string is twisted through 60° and released. It now performs angular oscillations of period 1 second. Calculate the maximum restoring torque generated in the string under undamped conditions. (π3 ≈ 31)


The maximum speed of a particle executing S.H.M. is 10 m/s and maximum acceleration is 31.4 m/s2. Its periodic time is ______ 


A simple pendulum is inside a spacecraft. What will be its periodic time? 


Which of the following example represent periodic motion?

A freely suspended bar magnet displaced from its N-S direction and released.


Which of the following example represent periodic motion?

A hydrogen molecule rotating about its center of mass.


What are the two basic characteristics of a simple harmonic motion?


A person normally weighing 50 kg stands on a massless platform which oscillates up and down harmonically at a frequency of 2.0 s–1 and an amplitude 5.0 cm. A weighing machine on the platform gives the persons weight against time.

  1. Will there be any change in weight of the body, during the oscillation?
  2. If answer to part (a) is yes, what will be the maximum and minimum reading in the machine and at which position?

A person normally weighing 50 kg stands on a massless platform which oscillates up and down harmonically at a frequency of 2.0 s–1 and an amplitude 5.0 cm. A weighing machine on the platform gives the persons weight against time.

  1. Will there be any change in weight of the body, during the oscillation?
  2. If answer to part (a) is yes, what will be the maximum and minimum reading in the machine and at which position?

When a particle executes Simple Harmonic Motion, the nature of the graph of velocity as a function of displacement will be ______.


A particle performs simple harmonic motion with a period of 2 seconds. The time taken by the particle to cover a displacement equal to half of its amplitude from the mean position is `1/a` s. The value of 'a' to the nearest integer is ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×