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TS EAMCET Oscillations — practice questions

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The time period of a simple pendulum of length $L$ in a gravitational field $g$ is:A particle in SHM has amplitude $A$ and angular frequency $\omega$. Its maximum speed is:The time period of a spring-mass system with mass $m$ and spring constant $k$ is:The total mechanical energy of a particle of mass $m$ in SHM with amplitude $A$ and angular frequency $\omega$The time period of a simple pendulum of length $L$ is:Time period of a spring-mass system (spring constant $k$, mass $m$) is:At the **mean (equilibrium) position** of SHM, which is true?Total mechanical energy of a particle in SHM (mass $m$, amplitude $A$, angular frequency $\omega$) is:If displacement of a particle in SHM is $x = A in(\omega t)$, velocity at $x = A/2$ is:In SHM, when the displacement is half the amplitude (x = A/2), the ratio of KE to PE is:A simple pendulum of period $T$ on Earth is taken to the Moon where $g_{moon} = g/6$. Its new period is:The phase difference between displacement $x$ and velocity $v$ in SHM is:A spring of force constant $k$ is cut into two equal halves. The force constant of each half is:Two springs of constants $k_1$ and $k_2$ connected in **series** have effective spring constant:If $x_1 = A in(\omega t)$ and $x_2 = A in(\omega t + \pi/3)$, the resultant amplitude of $x_1 + x_2$ is:Maximum acceleration in SHM ($A = $ amplitude, $\omega = $ angular frequency) is:In a damped oscillator $\ddot x + 2\gamma\dot x + \omega_0^2 x = 0$, the **amplitude decays** as:A particle in SHM has displacement $x = a\cos(\omega t) + b in(\omega t)$. The amplitude of motion is:A particle performs SHM along x-axis with amplitude $A$ and period $T$. The time taken from $x = 0$ to $x = A/A particle in SHM has a maximum speed of 30 cm/s and a maximum acceleration of 90 cm/s². The period of oscillaAn SHM is given by $x = 5 in(4\pi t + \pi/4)$ cm. The displacement at $t = 0.25$ s is:A particle moving back and forth over the same path is undergoing:In SHM, the time for one complete oscillation is called:The general equation for SHM is:In SHM, displacement and acceleration are:The angular frequency ω of a spring-mass system with mass m and spring constant k is:Time period of a simple pendulum of length L (small oscillations):A spring-mass system has mass 4 kg and spring constant 100 N/m. Frequency of SHM:For SHM x = 5 sin(2πt), find amplitude and time period:Maximum velocity of a particle in SHM with amplitude A and angular frequency ω:Maximum acceleration of a particle in SHM (amplitude A, angular frequency ω):A particle executing SHM has time period T. Time taken to go from extreme position (x = A) to x = A/2:A simple pendulum of length 1 m has period T (g = 9.8). New length needed to double T:Total energy of SHM particle equals:At the extreme position in SHM, kinetic energy equals:Two springs k1 and k2 in parallel: equivalent spring constant:Two springs k1 and k2 in series: equivalent spring constant:A spring of force constant k is cut into two equal halves. Spring constant of each half:A particle executing SHM has time period T. Time taken to go from extreme to mid-amplitude position:In SHM, when does kinetic energy equal potential energy?A simple pendulum swings with period T on Earth. On Moon (g_moon = g/6), its period:For SHM x = A sin(ωt), find ratio of kinetic energy at t = T/4 to t = T/8:A particle's SHM is described by x = 3 sin(ωt) + 4 cos(ωt). Amplitude of resulting SHM:Time period of a simple pendulum is T. If mass is doubled, period becomes:A particle of mass 0.5 kg has SHM with amplitude 4 cm and time period 0.2 s. Find maximum kinetic energy:A simple pendulum of length 1 m on Earth (g = 10) has frequency:For SHM, the displacement-time graph is:A mass m on a vertical spring of constant k. The equilibrium extension is x0 = mg/k. The mass is set into SHM.Two simple pendulums of lengths 1 m and 4 m start swinging in phase. They will be in phase again after:A particle has SHM with x = A cos(ωt). At t = 0, the particle is at:Phase difference between displacement and velocity in SHM:The total energy of SHM is proportional to:In SHM, how does the restoring force depend on the displacement?In SHM, the restoring force always acts in which direction?What happens to the net restoring force on a spring mass at the equilibrium position?A mass on a spring moves toward equilibrium. What happens to the restoring force?Why does an oscillating mass pass through x = 0 instead of stopping there?What does a mass-spring system exhibit when energy is lost from the system?Simple harmonic motion is a special type of which motion?SHM is described in time by which kind of function?Which technique builds complicated periodic motion from simple harmonic motions?Which change leaves the period of a mass on a spring unchanged?A constant extra force acts on a mass oscillating on a spring. What happens to its period?A 0.25 kg mass hangs on a spring of constant 100 N/m. What is its period?The mass on a spring is made four times larger. What happens to the period?SHM can be viewed as a projection of which motion onto a line?A body moves uniformly on a circle of radius r. Its projection on a diameter has what amplitude?What does it mean that SHM is isochronous?In SHM, the acceleration is directly proportional to which quantity?Without friction, what is true of the total mechanical energy in SHM?A Scotch yoke mechanism converts rotary motion into which motion?For which swing angles is a simple pendulum approximately in SHM?Which approximation lets a pendulum be treated as SHM?What is the period of a 1.0 m simple pendulum where g = 9.8 m/s^2?A pendulum clock is taken to the Moon, where g is smaller. What happens to its period?What is a pendulum?Which force provides the restoring force on a displaced pendulum?Who invented the pendulum clock in 1656?What replaced the pendulum clock as the world's standard timekeeper in the 1930s?What did Foucault's pendulum of 1851 demonstrate?How long was the cord of Foucault's pendulum hung in the Paris Pantheon?Pendulums were historically used as gravimeters to measure what?Which pendulum length is used in the Big Ben tower clock?Why did early pendulum clocks run slower in summer?Which temperature compensated pendulum was invented in 1726?Why did Huygens mount cycloidal guides next to the pivot?For wide swings, how does the period of a real pendulum change?Which captain invented the reversible pendulum in 1818?Which instrument uses pendulums to detect ground shaking?In physics, what is damping?