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Other Systems Executing SHM for JEE: 20 solved questions

Real JEE paper questions on other systems executing shm, part of oscillations. Each opens with the options, the correct answer and a step-by-step solution. Papers run from 2002 to 2026. No sign-in needed to read them.

What this topic asks

Wire, tunnel and contact-loss systems — 9 questions
Floating bodies and gas columns — 6 questions
Physical and torsional pendulum — 5 questions

All 20 questions with solutions

[Figure: a uniform disc of radius R hanging in a vertical plane, free to swing about a fixed horizontal axis… JEE Main 4th April 2nd Shift 2026
A cylindrical block of mass M and cross-sectional area A floats with its axis vertical in a liquid of density… JEE Main 24th Jan 1st Shift 2026
A light hollow cube of side 10 cm and mass 10 g floats in water. It is pushed down and released, and executes… JEE Main 23rd Jan 1st Shift 2025
Take the Earth to be a solid sphere of uniform density with a tunnel dug along a diameter. A particle of mass… JEE Main 25th Jan 1st Shift 2023
A tunnel is dug along a chord of the Earth at a perpendicular distance R/2 from the centre, where R is the Ea… JEE Main 26th Feb 1st Shift 2021
A ring is hung on a nail. It can oscillate without slipping or sliding (i) in its own plane, with period T₁,… JEE Main 5th Sept 2nd Shift 2020
An object of mass m hangs from the end of a massless wire of length L and cross-section A, whose material has… JEE Main 6th Sept 1st Shift 2020
[Figure: a thin wire hanging from a ceiling and carrying a horizontal rod of length l at the rod's centre of… JEE Main 9th Jan 1st Shift 2019
A rod of mass M and length 2L is suspended at its middle by a wire and performs torsional oscillations. When… JEE Main 9th Jan 2nd Shift 2019
[Figure: a uniform rod AB lying horizontally and pivoted at its midpoint O; a light spring of constant k join… JEE Main 12th Jan 1st Shift 2019
A silver atom in a solid oscillates in simple harmonic motion in some direction with a frequency of 10¹² s⁻¹.… JEE Main 2018
In an engine the piston moves in vertical simple harmonic motion of amplitude 7 cm, with a washer resting on… JEE Main Online 2016
A pendulum whose bob hangs from a uniform wire of cross-sectional area A has time period T. When an additiona… JEE Main 2015
A cylindrical block of wood of density 650 kg m⁻³, base area 30 cm² and height 54 cm floats in a liquid of de… JEE Main Online 2015
An ideal gas in a vertical cylinder supports a freely moving piston of mass M; the piston and the cylinder ha… JEE Main 2013
A mass m=1.0 kg is placed on a flat pan attached to a vertical spring fixed to the ground; the pan and spring… JEE Main Online 2013
A uniform cylinder of length L, mass M and cross-sectional area A hangs vertically from a fixed point by a ma… JEE Main Online 2013
A wooden cube of density d and side l floats in a liquid of density ρ with its upper and lower faces horizont… JEE Main Re-Scheduled 2011
A coin is placed on a horizontal platform which performs vertical simple harmonic motion of angular frequency… JEE Main 2006
A child swinging on a swing in a sitting position stands up. The time period of the swing will JEE Main 2002

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