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question_answer1) Can a motion be periodic and not oscillatory?
question_answer2) Can a motion be oscillatory but not simple harmonic? If your answer is yes, give an example and if not, explain why.
question_answer3) Every simple harmonic motion is periodic motion, but every periodic motion need not be simple harmonic motion. Do you agree? Give one example to justify your statement.
question_answer4) The rotation of the earth about its axis is periodic but not simple harmonic. Justify.
question_answer5) What is the basic condition for the motion of a particle to be S.H.M.?
question_answer6) Which of the following conditions is not sufficient for simple harmonic motion and why? (i) acceleration \[\propto \] displacement, (ii) restoring force \[\propto \] displacement.
question_answer7) Are the functions \[\text{tan }\!\!\omega\!\!\text{ t}\] and \[\mathbf{cot \omega t}\] periodic? Are they harmonic?
question_answer8) What provides the restoring force for simple harmonic oscillations in the following cases : (i) Simple pendulum (ii) Spring (iii) Column of Hg in U-tube?
question_answer9) When are the displacement and velocity in the same direction in S.H.M.?
question_answer10) When are the velocity and acceleration in the same direction in S.H.M.?
question_answer11) Can displacement and acceleration be in the same direction in S.H.M.?
question_answer12) The relation between the acceleration a and displacement \[x\] of a particle executing S.H.M. is\[a=-(p/q)y,\]where p and q are constants. What will be the time period T of the particle?
question_answer13) The maximum acceleration of a simple harmonic oscillator is \[{{a}_{0}}\] and the maximum velocity is \[{{\upsilon }_{0}}\]. What is the displacement amplitude?
question_answer14) The time period of an oscillating body is given by \[T=2p\sqrt{m/adg}.\] What would be the force equation for the body?
question_answer15) Two simple pendulums of unequal length meet each other at mean position while oscillating. What is their phase difference?
question_answer16) Velocity and displacement of a body executing S.H.M. are out of phase by\[\mathbf{\pi /2}\]. How?
question_answer17) A particle executes S.H.M. of amplitude A At what positions of its displacement \[(x)\], will its (i) velocity be zero and maximum and (ii) acceleration be zero and maximum?
question_answer18) At what points along the path of a simple pendulum is the tension in the string (i) maximum and (ii) minimum?
question_answer19) Is the statement "the bob of a simple pendulum moves faster at the lowest position for larger amplitude" true? Justify your answer.
question_answer20) Can we use a pendulum watch in an artificial satellite?
question_answer21) A girl is swinging in the sitting position. How will the period of the swing change if she stands up?
question_answer22) Will a pendulum clock lose or gain time when taken to the top of a mountain?
question_answer23) What will be the period of oscillation, if the length of a second's pendulum is halved?
question_answer24) The length of second?s pendulum on the surface of earth is 1 m. What will be the length of a second's pendulum on the surface of moon?
question_answer25) The bob of a simple pendulum is made of wood. What will be the effect on the time period if the wooden bob is replaced by an identical bob of iron?
question_answer26) If a hollow pipe passes across the centre of gravity of the earth, then what changes would take place in the velocity and acceleration of a ball dropped in the pipe?
question_answer27) The bob of a simple pendulum of length \[l\] is negatively charged. A positively-charged metal plate is placed just below the bob and the pendulum is made to oscillate. What will be the effect on the time - period of the pendulum?
question_answer28) A simple pendulum of length \[l\] and with a bob of mass m is moving along a circular arc of angle \[\theta \] in a vertical plane. A sphere of mass \[m\] is placed at the end of the circle. What momentum will be given to the sphere by the moving bob?
question_answer29) A body moves along a straight line \[\mathbf{OAB}\]simple harmonically. It has at zero velocity at the points A and B which are at distances a and b respectively from \[O\] and has velocity \[\upsilon \] when half way between them. Find the period of S.H.M.
question_answer30) When a 2.0 kg body is suspended by a spring, the spring is stretched. If the body is pulled down slightly and released, it oscillates up and down. What force is applied on the body by the spring when it passes through the mean position? (\[g\text{ }=\mathbf{9}.\mathbf{8}\]newton/kg).
question_answer31) A spring having a force constant k is divided into three equal parts. What would be the force constant for each individual part?
question_answer32) How would the time period of a spring mass system change, when it is made to oscillate horizontally, and then vertically?
question_answer33) Alcohol in a U-tube executes S.H.M. of time period T. Now, alcohol is replaced by water up to the same height in the U-tube. What will be the effect on the time period?
question_answer34) There are two springs, one delicate and another stiffer one. Which spring will have a greater frequency of oscillation for a given load?
question_answer35) What is the ratio between the potential energy and the total energy of a particle executing S.H.M., when its displacement is half of its amplitude?
question_answer36) What fraction of the total energy is kinetic when the displacement of a simple harmonic oscillator is half of its amplitude?
question_answer37) Why is restoring force necessary for a body to execute S.H.M.?
question_answer38) What would happen to the motion of the oscillating system if the sign of the force term in the equation \[F=-kx\]is changed?
question_answer39) What determines the natural frequency of a body?
question_answer40) Why does the amplitude of an oscillating pendulum go on decreasing?
question_answer41) Why are army troops not allowed to march in steps while crossing a bridge?
question_answer42) A passing aeroplane sometimes causes the rattling of the windows of a house. Why?
question_answer43) How can earthquakes cause disaster sometimes?
question_answer44) Sometimes a wine glass is broken by the powerful voice of a celebrated singer. Why?
question_answer45) Glass windows may be broken by a far away explosion. Explain why.
question_answer46) The body of a bus begins to rattle sometimes, when the bus picks up a certain speed. Why?
question_answer47) What will be the change in time period of a loaded spring, when taken to moon?
question_answer48) A spring of force constant k is cut into two pieces, such that one piece is double the length of the other. What is the force constant of the longer piece of the spring?
question_answer49) In forced oscillation of a particle, the amplitude is maximum for a frequency \[{{\omega }_{1}}\] of the force, while the energy is maximum for a frequency \[{{\omega }_{2}}\] of the force. What is relation between \[{{\omega }_{1}}\] and \[{{\omega }_{2}}\]?
question_answer50) The maximum velocity of a particle, executing simple harmonic motion with an amplitude of 7 mm, is\[4.4m{{s}^{-1}}\]. What is the period of oscillation?
question_answer51) Justify the following statements : (i) The motion of an artificial satellite around the earth cannot be taken as S.H.M. (ii) The time period of a simple pendulum will get doubled if its length is increased four times.
question_answer52) (i) What is meant by simple harmonic motion (S.H.M.)? (ii) At what points is the energy entirely kinetic and potential in S.H.M.? (iii) What is the total distance travelled by a body executing S.H.M. in a time equal to its time period, if its amplitude is A?
question_answer53) A simple pendulum consisting of an inextensible length \[l\] and mass m is oscillating in a stationary lift. The lift then accelerates upwards with a constant acceleration of \[\mathbf{4}.\mathbf{5}\text{ }\mathbf{m}/{{\mathbf{s}}^{\mathbf{2}}}\]. Write expression for the time period of simple pendulum in two cases. Does the time period increase, decrease or remain the same, when lift is accelerated upwards?
question_answer54) What is meant by restoring force? Give one example.
question_answer55) Two particles execute simple harmonic motions of the same amplitude and frequency along the same straight line. They cross one another when going in opposite directions. What is the phase difference between them when their displacements are half of their amplitudes?
question_answer56) A simple pendulum is hung in a stationary lift and its periodic time is T. What will be the effect on its periodic time T if (i) the lift goes up with uniform velocity \[\upsilon \], (ii) the lift goes up with uniform acceleration a, and (iii) the lift comes down with uniform acceleration a?
question_answer57) The bob of a vibrating pendulum is made of ice. How will the time period change when the ice starts melting?
question_answer58) The amplitude of a simple harmonic oscillator is doubled. How does this affect (i) periodic time, (ii) maximum velocity, (iii) maximum acceleration and (iv) maximum energy?
question_answer59) You have a light spring, a metre scale and a known mass. How will you find the time period of oscillation of mass without the use of a clock?
question_answer60) A man is standing on a platform which oscillates up and down simple harmonically. How will the weight of the man change as recorded by a weighing machine on the platform?
question_answer61) The frequency of oscillations of a mass m suspended by a spring is \[{{v}_{1}}\]. If the length of the spring is cut to one-half, the same mass oscillates with frequency \[{{v}_{2}}\]. Determine the value of \[{{v}_{2}}/{{v}_{1}}\].
question_answer62) All trigonometric functions are periodic, but only sine or cosine functions are used to define S.H.M. Why?
question_answer63) A simple harmonic motion is represented by \[\frac{{{d}^{2}}x}{d{{t}^{2}}}+\alpha x=0.\] What is its time period?
question_answer64) Does the function \[y={{\sin }^{2}}\omega t\] represent a periodic or a simple harmonic motion? What is the period of the motion?
question_answer65) The length of a simple pendulum executing SHM is increased by 21%. What is the percentage increase in the time period of the pendulum of increased length.
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