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Simple Harmonic Motion

23 questions · Physics · JEE Advanced
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Simple Harmonic Motion

23 questions · Physics · JEE Advanced

  1. A person sitting inside an elevator performs a weighing experiment with an object of mass 50 kg . Suppose that the variation of the height y(in m ) of the elevator, from the ground, with time t(in s) is given by y=8[1+sin(T2πt​)]…2025 · Shift 1 · Q40 · Numerical
  2. As shown in the figures, a uniform rod OO' of length l is hinged at the point O and held in place vertically between two walls using two massless springs of same spring constant. The springs are connected at the midpoint and at the top-end… Includes diagram2025 · Shift 2 · Q35 · MCQ
  3. Two particles, 1 and 2, each of mass m, are connected by a massless spring, and are on a horizontal frictionless plane, as shown in the figure. Initially, the two particles, with their center of mass at x0​, are oscillating with… Includes diagram2024 · Shift 2 · Q50 · Numerical
  4. Two particles, 1 and 2, each of mass m, are connected by a massless spring, and are on a horizontal frictionless plane, as shown in the figure. Initially, the two particles, with their center of mass at x0​, are oscillating with… Includes diagram2024 · Shift 2 · Q51 · Numerical
  5. A particle of mass 1 kg is subjected to a force which depends on the position as F=−k(x^+y^​)kgms−2 with k=1 kg s−2. At time t=0, the…2022 · Shift 2 · Q37 · Numerical
  6. On a frictionless horizontal plane, a bob of mass m=0.1 kg is attached to a spring with natural length l0​=0.1 m. The spring constant is k1​=0.009Nm−1 when the length of the spring l>l0​…2022 · Shift 2 · Q43 · Numerical
  7. A block with mass M is connected by a massless spring with stiffness constant k to a rigid wall and moves without friction on a horizontal surface. The block oscillates with small amplitude A about an equilibrium position x0. Consider two…2016 · Shift 2 · Q37 · Multiple correct
  8. Two independent harmonic oscillators of equal masses are oscillating about the origin with angular frequencies ω 1 and ω 2 and have total energies E1 and E2, respectively. The variations of their momenta p with positions x… Includes diagram2015 · Shift 1 · Q58 · Multiple correct
  9. A small block is connected to one end of a massless spring of un-stretched length 4.9 m. The other end of the spring (see the figure) is fixed. The system lies on a horizontal frictionless surface. The block is stretched by 0.2 m and… Includes diagram2012 · Shift 1 · Q50 · MCQ
  10. Phase space diagrams are useful tools in analyzing all kinds of dynamical problems. They are especially useful in studying the changes in motion as initial position and momentum are changed. Here we consider some simple dynamical systems… Includes diagram2011 · Shift 1 · Q63 · MCQ
  11. Phase space diagrams are useful tools in analyzing all kinds of dynamical problems. They are especially useful in studying the changes in motion as initial position and momentum are changed. Here we consider some simple dynamical systems… Includes diagram2011 · Shift 1 · Q64 · MCQ
  12. Phase space diagrams are useful tools in analyzing all kinds of dynamical problems. They are especially useful in studying the changes in motion as initial position and momentum are changed. Here we consider some simple dynamical systems… Includes diagram2011 · Shift 1 · Q65 · MCQ
  13. A wooden block performs SHM on a frictionless surface with frequency, v0​. The block carries a charge +Q on its surface . If now a uniform electric field E is switched- on as shown, then the SHM of the block… Includes diagram2011 · Shift 2 · Q42 · MCQ
  14. A point mass is subjected to two simultaneous sinusoidal displacements in x-direction, x1​(t)=Asinωt and x2​(t)=Asin(ωt+32π​). Adding a third…2011 · Shift 2 · Q44 · MCQ
  15. A 0.1 kg mass is suspended from a wire of negligible mass. The length of the wire is 1 m and its crosssectional area is 4.9 × 10-7 m2. If the mass is pulled a little in the vertically downward direction and released, it performs…2010 · Shift 1 · Q57 · Numerical
  16. When a particle of mass m moves on the x-axis in a potential of the form V(x) = kx2, it performs simple harmonic motion. The corresponding time period is proportional to km​​, as can be seen easily using dimensional… Includes diagram2010 · Shift 1 · Q77 · MCQ
  17. When a particle of mass m moves on the x-axis in a potential of the form V(x) = kx2, it performs simple harmonic motion. The corresponding time period is proportional to km​​, as can be seen easily using dimensional… Includes diagram2010 · Shift 1 · Q78 · MCQ
  18. When a particle of mass m moves on the x-axis in a potential of the form V(x) = kx2, it performs simple harmonic motion. The corresponding time period is proportional to km​​, as can be seen easily using dimensional… Includes diagram2010 · Shift 1 · Q79 · MCQ
  19. The x-t graph of a particle undergoing simple harmonic motion is shown in the figure. The acceleration of the particle at t=4/3 s is Includes diagram2009 · Shift 1 · Q47 · MCQ
  20. The mass M shown in the figure below oscillates in simple harmonic motion with amplitude A. The amplitude of the point P is Includes diagram2009 · Shift 2 · Q41 · MCQ
  21. A uniform rod of length L and mass M is pivoted at the centre. Its two ends are attached to two springs of equal spring constants k. The springs are fixed to rigid supports as shown in the figure, and the rod is free to oscillate in the… Includes diagram2009 · Shift 2 · Q42 · MCQ
  22. A student performed the experiment to measure the speed of sound in air using resonance air-column method. Two resonances in the air-column were obtained by lowering the water level. The resonance with the shorter air-column is the first…2009 · Shift 2 · Q47 · Multiple correct
  23. Column I gives a list of possible set of parameters measured in some experiments. The variations of the parameters in the form of graphs are shown in Column II. Match the set of parameters given in Column I with the graphs given in Column… Includes table Includes diagram2008 · Shift 2 · Q64 · MCQ