A particle executing SHM of amplitude 5 cm and period of 2s. Find the speed of the particle at point where its acceleration is half of its maximum value.
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: 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: Given the following data, determine the value of the elastic constant G of the rod and its standard…
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Q: A particle moves in simple harmonic motion with a frequency of 1.00 Hz and an amplitude of 3.20 cm.…
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Q: Through what total distance does the particle move during one cycle of its motion? (b) Calculate the…
A: Detailed solution is given below:
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 moving with shm has a velocity of 8m/s passing through the mean position and an…
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Q: A particle executes SHM of amplitude 25 cm and time period 3s. What is the minimum time required for…
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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 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. The maximum velocity is 3m/s and the maximum acceleration is 12 m/s^2.…
A: Given value--- maximum velocity = 3 m/s . maximum acceleration = 12 m/s2. We have to find---…
Q: A particle moves with SHM between two points which are 8.2 cm apart. At the instant when the…
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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…
A:
Q: A particle is moving in simple harmonic motion with an amplitude of 4.2 cm and a maximum velocity of…
A: Given:- The ampiltude A = 4.2 cm The maximum velocity v = 14.0 cm/s The initial phase is 0…
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 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: 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: why amplitude is equal to y(max) - y (min)/2 in sinuosidal graph of shm.
A: Amplitude of sinusoidal graph:
Q: Vibrations of harmonic motion can be represented in a vectorial form. Analyze the values of…
A: These oscillations are the basic cause of waves. The wave is only produced when we have something of…
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: In an electric shaver, the blade moves back and forth over a distance of 1.8 mm in simple harmonic…
A: back and forth distance = 1.8 mm frequency = 116 Hz
Q: (a) For a simple harmonic motion, what is the relation between position and acceleration? Which of…
A: The relation between position and acceleration in the case of a simple harmonic motion is
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) =…
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Q: A particle moves with SHM between two points which are 8.3 cm apart. At the instant when the…
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Q: A body attached to a spring undergoes SHM of frequency 5 Hz along x-axes. If the displacement from…
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