A particle executes SHM of amplitude 25 cm and time period 3s. What is the minimum time required for the particle to move between two points located at 12.5 cm on either side of the mean position?

Q: The displacement of a particle performing SHM is 0.001 m and magnitude of its acceleration is 1…

A: To find-Frequency (n)=?Given -Displacement (x)=0.001 mAcceleration=1 m/s2

Q: Show that for a particle in linear SHM , the average kinetic energy over a period of oscillation…

A: The displacement and velocity of a particle executing SHM is

Q: Suppose a diving board with no one on it bounces up and down in a SHM with a frequency of 4 Hz. The…

A: The frequency of empty board is given by

Q: how that for a particle executing SHM, velocity, and displacement have a phase difference of π/2.

A: The displacement equation of SHM, x = a cos ꞷt Velocity, v = dx/dt  dx/dt  = -aꞷ sin ꞷt

Q: The equation of motion of a particle in simple harmonic motion is given by x(t)= 0.3cos (wt) where x…

A: Given data: The equation of simple harmonic motion of the particle is xt=0.3 cosωt At x=0, the…

Q: A particle executing SHM of amplitude 5 cm and period of 2s. Find the speed of the particle at point…

A: To find: Velocity (V)=? Given data- Amplitude (a)=5 cm Periodic time=2 sec At given pt.…

Q: A machine part is undergoing SHM with a frequency of 5.00 Hz and amplitude 1.80 cm. How long does it…

A: The general equation for position of the particle performing SHM is x=AsinωtWhere A is amplitude, ω…

Q: A pitcher's forearm moves up and down in simple harmonic motion with an amplitude of 8.77 cm and a…

A: Given Amplitude of the simple harmonic motion is A=8.77 cm=8.77×10-2 m Frequency of motion is given…

Q: 2. (a) An object undergoing SHM traces a parabola taking 0.25 s to travel from one point of minimum…

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Q: A particle executes SHM with a period 8s. Find the time in which half the total energy is potential

A: To find-Time=?Given-Time period=8 sec

Q: A particle moves with SHM between two points which are 8.2 cm apart. At the instant when the…

A:

Q: A particle moves with SHM between two points which are 9.3 cm apart. At the instant when the…

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Q: The displacement of a particle executing SHM is given by : y = 5 sin 4t + If T is the time period…

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Q: The displacement of a particle varies according to the relation x = 4 (cos wt + sin ît). The…

A: We need to compute-Amplitude of motion (A)=?The data given as-X=4 (cos ωt+sin πt)

Q: particie is in simple harmonic motion with perlod 1. t= 0, the article is at the equilibrium. Which…

A: Time periode depend on only length and gravitational constant.  T=2π√l/g

Q: A particle participates simultaneously in two harmonic movements of equal amplitude (0.0200 m) and…

A: Given :      Amplitude of each harmonic movement, A1 = A2 = 0.0200 m      Frequency, ω = π rad /s…

Q: The time period of a particle executing SHM is 1s. If the particle starts motion from the mean…

A: S.H.M numerical problem.

Q: A machine part is undergoing SHM with a frequency of 4.40 HzHz and amplitude 1.80 cmcm. How long…

A: Given: Frequency f=4.40 Hz Amplitude: A=1.80 cm We need to find the time it will take to go from x=0…

Q: A particle executing simple harmonic motion has amplitude 0.01 and frequency 60Hz. The maximum…

A: A

Q: A particle initially located at the origin undergoes simple harmonic motion, moving first in the…

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Q: A particle performs M of period 12 second and amplitude 8 cm. If initially the particle is at the…

A: To find-Time (t)=?Given-Periodic time (T)=12 secAmplitude (a)=8 cmDisplacement (x')=6 cmfrom extreme…

Q: SHM-2 Given the equation x-(8.00cm)cos( 20.0radt) for the position of an object, do the following.…

A: We know general equation of oscillation of a particle, x=Acosωt where, A is amplitude ω is angular…

Q: A 71 g particle undergoes SHM with an amplitude of 5.8 mm, a maximum acceleration of magnitude 6.0 x…

A: m= 71 gramm=.071 kgAmplitude A=5.8 mmamax= 6×103 msec2a Time period TSinnce…

Q: A small bird’s wings can undergo a maximum displacement amplitude of 4.50 cm (distance from the tip…

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Q: A particle undergoes simple harmonic motion with an amplitude of 3.00 cm. At what position (in cm)…

A: Here,  Given Amplitude(A)=3 cm                    V=0.12Vmax

Q: A particle is moving in simple harmonic motion with an amplitude of 4.4 cm and a maximum velocity of…

A: (a) In SHM velocity at any position is given by, v=ωA2-y2                           ...... (1) The…

Q: An object undergoing simple harmonic motion takes 0.33 s to travel from one point of zero velocity…

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Q: Q4. Find the maximum velocity and acceleration of a particle executing SHM of period 10p second and…

A: Given data: Period, T=10 s Amplitude, A=5×10-2m

Q: Mass = 8.0kg hung from the ceiling Spring constant = 500N/m Stretched 15.7cm from the original…

A:

Q: A 96 g particle undergoes SHM with an amplitude of 2.9 mm, a maximum acceleration of magnitude 7.3 x…

A: Given:-              amax=7.3×103 m/s2     =-Aω2ω =amaxA    =7.3×103 m/s22.9×10-3 m   = 1.5×103

Q: A particle (100 g) is in simple harmonic motion and the position of the particle is given by X(t) =…

A:

Q: A particle moves with SHM between two points which are 8.3 cm apart. At the instant when the…

A:

Q: A body attached to a spring undergoes SHM of frequency 5 Hz along x-axes. If the displacement from…

A:

Q: If a particle undergoes a SHM with an amplitude of 0.18 m, what is the total distance it travels in…

A: Amplitude(A)= 0.18 m  To find  Total distance it travels in one period  D=?

Q: A particle (50 g) is in simple harmonic motion and the position of the particle is given by X(t) = -…

A: Simple harmonic motion is a special type of periodic motion where the restoring force on the moving…