# Simple Harmonic Motion · Physics · MHT CET

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MHT CET 2023 14th May Evening Shift
A uniform circular disc of mass $$12 \mathrm{~kg}$$ is held by two identical springs. When the disc is slightly pressed down and released, it executes...
MHT CET 2023 14th May Evening Shift
A light spring is suspended with mass $$m_1$$ at its lower end and its upper end fixed to a rigid support. The mass is pulled down a short distance an...
MHT CET 2023 14th May Evening Shift
A block of mass '$$M$$' rests on a piston executing S.H.M. of period one second. The amplitude of oscillations, so that the mass is separated from the...
MHT CET 2023 14th May Morning Shift
A simple pendulum of length '$$l$$' and a bob of mass '$$\mathrm{m}$$' is executing S.H.M. of small amplitude '$$A$$'. The maximum tension in the stri...
MHT CET 2023 14th May Morning Shift
The displacement of a particle executing S.H.M. is $$x=\mathrm{a} \sin (\omega t-\phi)$$. Velocity of the particle at time $$\mathrm{t}=\frac{\phi}{\o... MHT CET 2023 14th May Morning Shift The bob of simple pendulum of length '$$L$$' is released from a position of small angular displacement$$\theta$$. Its linear displacement at time '$$...
MHT CET 2023 13th May Evening Shift
Under the influence of force $$F_1$$ the body oscillates with a period $$T_1$$ and due to another force $$F_2$$ body oscillates with period $$T_2$$. I...
MHT CET 2023 13th May Evening Shift
A mass $$M$$ is suspended from a light spring. An additional mass $$M_1$$ added extends the spring further by a distance $$x$$. Now, the combined mass...
MHT CET 2023 13th May Morning Shift
A body of mass $$0.04 \mathrm{~kg}$$ executes simple harmonic motion (SHM) about $$\mathrm{x}=0$$ under the influence of force $$\mathrm{F}$$ as shown...
MHT CET 2023 13th May Morning Shift
A simple pendulum has a time period '$$T$$' in air. Its time period when it is completely immersed in a liquid of density one eighth the density of th...
MHT CET 2023 12th May Evening Shift
In a stationary lift, time period of a simple pendulum is '$$\mathrm{T}$$'. The lift starts accelerating downwards with acceleration $$\left(\frac{\ma... MHT CET 2023 12th May Evening Shift A particle starts from mean position and performs S.H.M. with period 4 second. At what time its kinetic energy is$$50 \%$$of total energy?$$\left(\...
MHT CET 2023 12th May Morning Shift
A simple pendulum performs simple harmonic motion about $$\mathrm{x}=0$$ with an amplitude '$$\mathrm{a}$$' and time period '$$T$$'. The speed of the ...
MHT CET 2023 12th May Morning Shift
Four massless springs whose force constants are $$2 \mathrm{~K}, 2 \mathrm{~K}, \mathrm{~K}$$ and $$2 \mathrm{~K}$$ respectively are attached to a mas...
MHT CET 2023 11th May Evening Shift
The upper end of the spring is fixed and a mass '$$m$$' is attached to its lower end. When mass is slightly pulled down and released, it oscillates wi...
MHT CET 2023 11th May Morning Shift
For a particle executing S.H.M., its potential energy is 8 times its kinetic energy at certain displacement '$$x$$' from the mean position. If '$$A$$'...
MHT CET 2023 11th May Morning Shift
The time period of a simple pendulum inside a stationary lift is '$$T$$'. When the lift starts accelerating upwards with an acceleration $$\left(\frac... MHT CET 2023 10th May Evening Shift A body is executing a linear S.H.M. Its potential energies at the displacement '$$\mathrm{x}$$' and '$$\mathrm{y}$$' are '$$\mathrm{E}_1$$' and '$$E_2...
MHT CET 2023 10th May Evening Shift
A simple harmonic progressive wave is represented by $$y=A \sin (100 \pi t+3 x)$$. The distance between two points on the wave at a phase difference o...
MHT CET 2023 10th May Morning Shift
The amplitude of a particle executing S.H.M. is $$3 \mathrm{~cm}$$. The displacement at which its kinetic energy will be $$25 \%$$ more than the poten...
MHT CET 2023 9th May Evening Shift
Two S.H.Ms. are represented by equations $$\mathrm{y}_1=0.1 \sin \left(100 \pi \mathrm{t}+\frac{\pi}{3}\right)$$ and $$\mathrm{y}_2=0.1 \cos (100 \pi ... MHT CET 2023 9th May Evening Shift A spring has a certain mass suspended from it and its period for vertical oscillations is '$$T_1$$'. The spring is now cut in to two equal halves and ... MHT CET 2023 9th May Evening Shift A particle is vibrating in S.H.M. with an amplitude of$$4 \mathrm{~cm}$$. At what displacement from the equilibrium position is its energy half poten... MHT CET 2023 9th May Morning Shift A rubber ball filled with water, having a small hole is used as the bob of a simple pendulum. The time period of such a pendulum MHT CET 2023 9th May Morning Shift The maximum velocity of a particle performing S.H.M. is '$$\mathrm{V}$$'. If the periodic time is made$$\left(\frac{1}{3}\right)^d$$and the amplitud... MHT CET 2022 11th August Evening Shift The time taken by a particle executing simple harmonic motion of period '$$\mathrm{T}$$', to move from the mean position to half the maximum displacem... MHT CET 2022 11th August Evening Shift In a medium, the phase difference between two particles separated by a distance '$$x$$' is$$\left(\frac{\pi}{5}\right)^{\text {c }}$$. If the frequen... MHT CET 2022 11th August Evening Shift A particle starts oscillating simple harmonically from its mean position with time period '$$T$$'. At time$$t=\frac{T}{12}$$, the ratio of the potent... MHT CET 2021 24th September Evening Shift The displacement of a particle performing S.H.M. is given by$$x=5 \sin (3 t+3)$$, where$$x$$is in$$\mathrm{cm}$$and$$t$$is in second. The maxim... MHT CET 2021 24th September Morning Shift Two identical springs of constant '$$\mathrm{K}$$' are connected in series and parallel in shown in figure. A mass '$$\mathrm{M}$$' is suspended from ... MHT CET 2021 24th September Morning Shift A particle performing linear S.H.M. of amplitude$$0.1 \mathrm{~m}$$has displacement$$0.02 \mathrm{~m}$$and acceleration$$0.5 \mathrm{~m} / \mathr...
MHT CET 2021 24th September Morning Shift
A body is executing S.H.M. under the action of force having maximum magntude $$50 \mathrm{~N}$$. When its energy is half kinetic and half potential; t...
MHT CET 2021 23rd September Evening Shift
A bob of simple pendulum of mass 'm' perform $$\mathrm{SHM}$$ with amplitude '$$\mathrm{A}$$' and period 'T'. Kinetic energy of pendulum of displaceme...
MHT CET 2021 23rd September Evening Shift
An object executes SHM along $$x$$-axis with amplitude $$0.06 \mathrm{~m}$$. At certain distance '$$\mathrm{x}$$' metre from mean position, it has kin...
MHT CET 2021 23rd September Evening Shift
A body executes SHM under the action of force '$$\mathrm{F}_1$$' with time period '$$\mathrm{T}_1$$'. If the force is changed to '$$\mathrm{F_2}$$', i...
MHT CET 2021 23th September Morning Shift
A particle performing S.H.M. when displacement is '$$x$$', the potential energy and restoring force acting on it are denoted by '$$E$$' and '$$F$$' re...
MHT CET 2021 23th September Morning Shift
A body is performing S.H.M. of amplitude 'A'. The displacement of the body from a point where kinetic energy is maximum to a point where potential ene...
MHT CET 2021 23th September Morning Shift
A particle excuting S.H.M starts from the mean position. Its amplitude is 'A' and time period '$$\mathrm{T}$$' At what displacement its speed is one-f...
MHT CET 2021 22th September Evening Shift
A particle connected to the end of a spring executes S.H.M. with period '$$T_1$$'. While the corresponding period for another spring is '$$\mathrm{T}_... MHT CET 2021 22th September Evening Shift '$$n$$' waves are produced on a string in 1 second. When the radius of the string is doubled, keeping tension same, the number of waves produced in 1 ... MHT CET 2021 22th September Evening Shift A body of mass '$$m$$' performs linear S.H.M. given by equation$$x=P \sin \omega t+Q \sin \left(\omega t+\frac{\pi}{2}\right)$$. The total energy of ... MHT CET 2021 22th September Morning Shift A mass$$0.4 \mathrm{~kg}$$performs S.H.M. with a frequency$$\frac{16}{\pi} \mathrm{Hz}$$. At a certain displacement it has kinetic energy$$2 \math...
MHT CET 2021 22th September Morning Shift
If the amplitude of linear S.H.M. is decreased then
MHT CET 2021 21th September Evening Shift
A child is sitting on a swing which performs S.H.M. It has minimum and maximum heights from ground $$0.75 \mathrm{~cm}$$ and $$2 \mathrm{~m}$$ respect...
MHT CET 2021 21th September Evening Shift
A pendulum clock is running fast. To correct its time, we should
MHT CET 2021 21th September Evening Shift
A particle is performing S.H.M. with maximum velocity '$$v$$'. If the amplitude is tripled and periodic time is doubled then maximum velocity will be...
MHT CET 2021 20th September Evening Shift
A particle executes S.H.M. of period $$\frac{2 \pi}{\sqrt{3}}$$ second along a straight line $$4 \mathrm{~cm}$$ long. The displacement of the particle...
MHT CET 2021 20th September Evening Shift
A particle is suspended from a vertical spring which is executing S.H.M. of frequency $$5 \mathrm{~Hz}$$. The spring is unstretched at the highest poi...
MHT CET 2021 20th September Evening Shift
A body performs S.H.M. under the action of force '$$\mathrm{F}_1$$' with period '$$\mathrm{T}_1$$' second. If the force is changed to '$$\mathrm{F}_2... MHT CET 2021 20th September Morning Shift A mass '$$\mathrm{m}_1$$' is suspended from a spring of negligible mass. A spring is pulled slightly in downward direction and released, mass performs... MHT CET 2021 20th September Morning Shift Two particles$$\mathrm{P}$$and$$\mathrm{Q}$$performs S.H.M. of same amplitude and frequency along the same straight line. At a particular instant,... MHT CET 2021 20th September Morning Shift A particle of mass 5kg is executing S.H.M. with an amplitude 0.3 m and time period$$\frac{\pi}{5}$$s. The maximum value of the force acting on the pa... MHT CET 2020 16th October Morning Shift A simple pendulum of length$$L$$has mass$$m$$and it oscillates freely with amplitude$$A$$. At extreme position, its potential energy is ($$g=$$a... MHT CET 2020 16th October Morning Shift For a particle performing SHM when displacement is$$x$$, the potential energy and restoring force acting on it is denoted by$$E$$and$$F, respect...
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