The displacement of a particle executing SHM is given by : y = 5 sin 4t + If T is the time period and the mass of the particle is 2 gms, the kinetic energy T of the particle when t = is given by :
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: A particle (50 g) is in simple harmonic motion and the position of the particle is given by X(t) = -…
A: The kinetic energy is given as: For an SHM the mean position has the maximum kinetic energy.
Q: A simple pendulum performs SHM about x=0 with an amplitude A and time period T. What is the speed of…
A: Simple pendulum acts as an simple harmonic motion.The relation connecting the velocity and the…
Q: the phase angle for a block-spring system in SHM is o and the block's position is given by x = Xm…
A:
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: A mass m 12 kg is attached to a spring with negligible mass and stiffnecs k=4N/m lying on a friction…
A: Given terms:
Q: A particle moves with SHM between two points which are 5.0 cm apart. At the instant when the…
A:
Q: A sewing machine needle moves with a rapid vibratory motion, rather like SHM, as it sews a seam.…
A:
Q: The displacement of a particle performing simple harmonic motion is given by, x = 8 sin ot + 6 cos…
A: To find- Amplitude (A)=? Given data- The equation of SHM is- X=8sinωt+6cosωt
Q: A particle executes simple harmonic motion along the x-axis. The force acting on it is given by? a)…
A: D
Q: A 0.35 kg block rests on a frictionless horizontal countertop, where it is attached to a massless…
A: Given:- The mass of the block is m = 0.35 kg The spring constant is k = 22.0 N/m The block is…
Q: x (cm) t (ms) -4+ Figure 15-53 Problems 77 and 78. 78 Figure 15-53 gives the position x(t) of a…
A: Given that T=40ms=0.040s. From the graph, xm=7.0cm=0.070m The angular frequency here is The maximum…
Q: Pollowing statements is true concerning the motion of the block? O Its acceleration is greatest when…
A: In a spring mass system, spring force depends on the displacement of the mass, greater is the…
Q: (a) What is the dimension of area moment of inertia? (b) If the thickness of a piezoelectric…
A:
Q: A particle is attached to a spring with k = 100 N/m is undergoing SHM, and its position is described…
A: Since you have posted a question with a multiple sub parts, we will solve first three sub - parts…
Q: The particle executing simple harmonic motion has a kinetic energy K0 cos2 ωt. The maximum values of…
A: When kinetic energy is maximum, potential energy is zero and vice-versa. But Kinetic energy+…
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: particle is in SHM. When displacement is ‘a‘ potential energy is 8J. When displacement is ‘a‘…
A: Given: U=8J at x=a ............................................... (1) U=18 J at x=a…
Q: A particle moves with SHM between two points which are 8.2 cm apart. At the instant when the…
A:
Q: : The value of displacement of particle performing SHM, when kinetic energy is(3/4)th of its total…
A:
Q: A block attached to a spring undergoes simple harmonic motion on a horizontal, frictionless surface.…
A: The objective of the question is to find the kinetic energy of a block attached to a spring when the…
Q: A particle is undergoing SHM. If its potential energy is given by: U = kx2. What will be the value…
A: The potential energy is given by: U=kx2 The expression for the kinetic energy in SHM can be written…
Q: A particle moves with SHM between two points which are 9.3 cm apart. At the instant when the…
A:
Q: A particle with mass 9.7 kg is moving under SHM according to the equation y(t) = 3.5 cm…
A:
Q: t sec This graph represents the amplitude of a mass on a spring in SHM. If the time for two cycles,…
A: Total Energy of spring executing S.H.M is given by E = mω2A2/2 Here, E = Total Energy. m = mass . ω…
Q: Q. 50 : The total energy of a particle, execut SHM is: Proportional to x2. Proportional to x…
A: The total energy of a particle executing SHM is always a constant (ignoring damping). If the…
Q: A block-spring system has a maximum restoring force Fmax = 0.1 N. If the amplitude of the motion is…
A: Given:- Fmax = 0.1 N A= 0.01 m m=400 g = 0.4 kg Find:- The angular frequency ω ?
Q: The equation of motion of a particle in simple harmonic motion is given by: x(t) = 0.1cos(wt), where…
A: Given: x(t) = 0.1cos(wt) v = -1.256 m/s at x=0 Time period = T Amplitude (A) = 0.1m
Q: In simple harmonic motion, when is the magnitude of the acceleration the greatest? O when the…
A: Simple harmonic motion, :-> At extreme position, Kinetic energy is zero And potential energy is…
Q: why amplitude is equal to y(max) - y (min)/2 in sinuosidal graph of shm.
A: Amplitude of sinusoidal graph:
Q: A hypnotized ant undergoes a SHM governed by the equation x (t) = (2.5 mm) cos(1.2 rad/s ·t + 0.50…
A: The given displacement equation of the ant is, Now to find the equation of instantaneous velocity…
Q: Lwiw m X = Xmax x=0 A 3.6 kg block sliding on a rough horizontal surface is attached to one end of a…
A: Write the expression for the initial energy. Write the expression for the final energy. Write the…
Q: A vertical spring stretches 9.9 cm when a 2.4 kg block is hung from its end. (a) Calculate the…
A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…
Q: A simple pendulum is set into motion at 2 different times with different inial conditions .the first…
A: For case 1:initial velocity v1 = 2 meter/secondh1 = maximum heightFor case 2:initial velocity v2 = 6…
Q: The displacement of a 500 g mass, undergoing simple harmonic motion, is defined by the function:…
A: Recall For SHM, maximam KE=max. PE= TME( total mechanical energy)
Step by step
Solved in 2 steps with 2 images
